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Journal articles on the topic 'Isentropic compressibility'

Author: Grafiati

Published: 5 June 2025

Last updated: 15 July 2025

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Firoozabadi, Abbas, and Huanquan Pan. "Two-Phase Isentropic Compressibility and Two-Phase Sonic Velocity for Multicomponent-Hydrocarbon Mixtures." SPE Reservoir Evaluation & Engineering 3, no. 04 (2000): 335–41. http://dx.doi.org/10.2118/65403-pa.

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Summary Two-phase compressibility and two-phase sonic velocity of hydrocarbon mixtures are needed for a variety of applications in well testing, metering, and seismic exploration. In this work, a thermodynamic model is presented to estimate the two-phase isentropic compressibility and two-phase sonic velocity. The model accounts for the mass transfer between the equilibrium phases and the effect of capillary pressure. The results reveal that isothermal and isentropic compressibilities can be different by a factor of 20 in the two-phase near the retrograde dewpoint. With the exception of the retrograde dewpoint, the difference between the isentropic compressibility in the single phase and two phase is less than the corresponding difference for the isothermal compressibility. The sonic velocity in the two phase can be either less or more than the single phase. For the hydrocarbon mixtures that the sonic velocity decreases in the two phase, the decrease is much less pronounced than in nonhydrocarbon systems such as water-steam and water-air. Introduction Fluid compressibility and sonic velocity are used for a wide range of problems in the production and exploration of hydrocarbon reservoirs. These include well testing, metering, and seismic exploration. Various methods are available for the estimation of compressibility and sonic velocity in the single phase—both gas and liquid states.1 For hydrocarbon mixtures in the two-phase state, the available methods are unreliable. Compressibility is often defined on the basis of the thermodynamic path. For an isothermal process, the compressibility relates volume change to pressure change at constant temperature. In an isentropic path, the volume and pressure changes are given by isentropic compressibility. These two compressibilities in the single-phase state are related by2 c T = ( c P / c V ) c S , ( 1 ) where c T is the isothermal compressibility and cS is the isentropic compressibility; cP and cV are the heat capacity at constant pressure and volume, respectively. Since cPâ‰¥cV, then cTâ‰¥cS. The difference between cT and cS depends on pressure, temperature, and composition, and may vary from 10 to 300% in the single phase for pure hydrocarbons. Available techniques are adequate for the reliable estimation of cT and cS for hydrocarbon mixtures in the single-phase state. For reservoir engineering applications, cT represents the fluid compressibility in the reservoir away from the wellbore. In the wellbore, due to expansion, the fluid may undergo heating or cooling and the process may become nonisothermal. If the heat loss can be neglected, the isentropic compressibility may better represent the pressure and volume changes. In many real applications, the compressibility is perhaps between the two limits. Fluid compressibility in the two-phase gas-liquid state can be very different from the single-phase gas and liquid states. While the gas-phase compressibility is higher than the liquid phase, the two-phase gas-liquid compressibility can be higher than the gas-phase compressibility. The procedure for the calculation of the isothermal two-phase compressibility of hydrocarbon mixtures is presented in Ref. 3. It is clear from the work of Ref. 3 that any averaging technique based on individual phase compressibilities is unacceptable, and may lead to an order of magnitude error. The results presented in Ref. 3 are based on the assumption that the interface between the gas and liquid phases is flat. In porous media, the interface is curved and, therefore, capillary pressure may affect the two-phase compressibility. One purpose of this work is to account for the effect of capillary pressure on two-phase compressibility. Similar to the single phase, where two types of compressibility—isentropic and isothermal—are defined, in the two phase, one can also define isothermal and isentropic compressibilities. To our knowledge, there is no rigorous procedure in the literature for the estimation of two-phase isentropic compressibility of hydrocarbon mixtures. In the two phase for a constant entropy path, mass transfer between phases becomes important. A main objective of this work is to propose the methodology for the calculation of the two-phase isentropic compressibility using a cubic equation of state to describe all the physical parameters. Two-phase isentropic compressibility may be more appropriate than two-phase isothermal compressibility for well-testing applications in two-phase flowing conditions; around the welbore due to expansion, temperature may rise or may fall.2 Closely related to compressibility is the sonic velocity, which is an important parameter in seismic and well-logging technologies. The sonic velocity and the compressibility are related by a=v/cS, where a is the sonic velocity, v is the fluid molar volume, and cS is the isentropic compressibility.

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Prasad, V. Siva. "Thermodynamic studies in ternary mixtures containing water, formamide and t- butanol at 298.15 K." International Journal of Science and Social Science Research 1, no. 4 (2024): 147–56. https://doi.org/10.5281/zenodo.13367131.

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At 298.15 K, ultrasonic speeds and the isentropic compressibilities of aqueous solutions containing formamide (F) + t-butanol have been measured. As the concentration of formamide in the cosolvent (aqueous formamide) increases, it is observed that the concentrations of t-butanol at which isentropic compressibility becomes minimum and ultrasonic speed becomes maximum decrease. This behavior suggests that compared to aqueous t-butanol, aqueous ternary solutions are less structured. The concentration dependence of excess isentropic compressibility and excess ultrasonic speed very nicely reflects this behavior. This behavior is explained by the fact that the presence of formamide reduces t-butanol's capacity to form clathrate hydrates. Isentropic compressibility rises with concentration and ultrasonic speed falls when formamide concentration in the cosolvent (xF) > 0.2. 

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Bhatt, Bishan Datt. "Computation of excess isentropic compressibility via Flory's statistical theory to investigate molecular interactions in n-alcohol–benzylamine mixtures." African Journal of Empirical Research 5, no. 4 (2025): 2043–49. https://doi.org/10.51867/ajernet.5.4.170.

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Excess isentropic compressibility is a key thermodynamic property that offers valuable insight into molecular interactions within liquid mixtures. Understanding these interactions is crucial for characterizing solution structure, designing chemical processes, and developing predictive thermodynamic models. Statistical models play a vital role in interpreting thermodynamic behavior by connecting macroscopic properties with molecular-level interactions. They allow for the prediction and analysis of complex mixture behavior while minimizing the need for extensive experimental data. In this study, the excess isentropic compressibility of n-alcohol–benzylamine mixtures across various compositions was computed using the Flory statistical model. This model requires only minimal input data, specifically, the thermal expansion and isothermal compressibility of the pure components. The computed values were used to assess molecular interactions within the mixtures. A negative deviation in isentropic compressibility was observed, indicating stronger interactions between unlike molecules (i.e., α-alcohol and benzylamine) than between like molecules. The close agreement between experimental and calculated values confirms the effectiveness of this theoretical approach for analyzing molecular interactions. Overall, the method provides a reliable and efficient means to compute excess isentropic compressibility and investigate liquid mixture behavior.

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Marczak, Wojciech. "Is Passynski’s Approach to Hydration Numbers Consistent with Thermodynamics?" Molecules 29, no. 17 (2024): 4214. http://dx.doi.org/10.3390/molecules29174214.

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Hydrophilic and hydrophobic phenomena occur in aqueous solutions. Despite the complex nature of the molecular interactions, the propensity of molecules and ions to hydration is sometimes characterized by a single “hydration number”. Passynski’s method for determining the hydration numbers in dilute aqueous solutions belongs to the group of methods based on the analysis of the isentropic compressibility of a mixture. Isentropic compressibility is a thermodynamic material constant; thus, the paper deals with Passynski’s approach discussed in terms of thermodynamics. First, Passynski’s assumptions were applied to the volume of the mixture. Subsequent strict thermodynamic derivation led to a formula for the hydration number which resembled that of Onori rather than the original one. Passynski’s number turned out to be inconsistent with the thermodynamics and mechanics of fluids. This is a rather purely empirical measure of the slope of the dependence of isentropic compressibility on the solute mole fraction in a dilute aqueous solution. Being the quotient of the slope and the isentropic compressibility of pure water, Pasynski’s numbers are more convenient to analyze and discuss than the slopes themselves. Conclusions about molecular interactions based on these numbers must be treated with considerable caution.

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Harun-Al-Rashid, Md, Tania Tofaz, M. Islam, and T. Biswas. "Sound Velocities and Micellar Behaviour Studies of Dodecyltrimethylammonium Bromide in Aqueous Solutions at 295.15, 302.15 and 309.15 K." International Journal of Chemistry 7, no. 2 (2015): 213. http://dx.doi.org/10.5539/ijc.v7n2p213.

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Speed of sound, u, of dodecyltrimethylammonium bromide (DTAB) aqueous solutions has been determined at 295.15, 302.15 and 309.15 K. The speeds of sound, u, data have been used to estimate isentropic compressibility, Ks, apparent molal isentropic compressibility, φk(s), acoustic impedance, Z, molal sound of speed, Rm, and relative association, RA, of DTAB in aqueous solution. These parameters have been interpreted in terms of solute-solute and solute-solvent interactions and micellar behavior of DTAB.

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Boriskov, G. V., A. I. Bykov, N. I. Egorov, et al. "Isentropic compressibility of VNM-3-2 alloy in area of ultra-high pressures." Doklady Rossijskoj akademii nauk. Fizika, tehničeskie nauki 516, no. 1 (2024): 5–9. https://doi.org/10.31857/s2686740024030018.

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The authors provide the performance and experiment results of the isentropic compression of the tungsten VNM-3-2 alloy up to ultra-high (1 Mbar) pressures in a device based on the magneto-cumulative generator. The points obtained on the diagram “compression-pressure” are compared with a normal isentrope constructed based on the data of shock-wave experiments.

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Wahab, Abdul, and Sekh Mahiuddin. "Isentropic compressibility and viscosity of aqueous and methanolic lithium chloride solutions." Canadian Journal of Chemistry 80, no. 2 (2002): 175–82. http://dx.doi.org/10.1139/v02-007.

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Densities, speeds of sound, and viscosities of aqueous and methanolic lithium chloride solutions were measured as functions of concentration, m (mol kg1) (0.3911 [Formula: see text] m [Formula: see text] 19.47) and temperature (273.15 [Formula: see text] T [Formula: see text] 323.15 K). Measured values of the density, speeds of sound, and viscosity agree well with previously reported data. The isentropic compressibility isotherms for the aqueous solutions converge at a particular concentration, in the temperature range of the study, providing crucial information regarding the solvation behaviour of the ions. However, for the methanol solutions, the isentropic compressibility isotherms decrease smoothly with concentration and converge on extrapolation. Anion solvation controls the viscosity processes at low temperatures whereas cation solvation controls the same at high temperatures. Total primary solvation numbers of lithium chloride in water and methanol were estimated to be 6.0 and 1.9, respectively.Key words: lithium chloride, speeds of sound, viscosity, isentropic compressibility, solvation number.

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Elangovan, Sampandam. "Density, Ultrasonic Velocity, Isentropic Compressibility, Molar Volumes and Related Excess Parameters Studies on Ethyl Acetate with 1-Ethanol at 303K, 308K, and 313K." Material Science Research India 18, no. 2 (2021): 171–78. http://dx.doi.org/10.13005/msri/180205.

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A binary liquid mixture that consists of ethyl acetate and 1-ethanol has been prepared at various concentrations by the mole fraction method. The ultrasonic velocity and density have been determined at 303K, 308K and 313K. From the experimental data, the excess isentropic compressibility, excess molar volumes, excess internal pressures, and excess molar enthalpy have been computed. The variations were observed as polynomial and fitted to the Redlich-Kister polynomial functions. By using this function, adjustable parameters and the standard deviations have been calculated. The experimental and theoretical data reveal that the existence of the intermolecular interactions between the selected liquid system. The partial molar compressibility’s and partial molar volume also calculated at infinite dilution of the system. In general, the intermolecular forces have tended to the variations in the magnitude and sign of the excess parameters. The excess molar volume (Vme), excess isentropic compressibility (), excess internal pressure ( ) and the enthalpy ( ) show the negative magnitude at the entire range of concentrations and temperatures. The significant variations of these parameters with the mole fraction of ethyl acetate have been analysed. Furthermore, the strength of the intermolecular interactions decreased with increasing the experimental temperatures as 303K > 308K >313K.

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Zhang, X. P., Z. W. Gu, Z. Q. Xiao, et al. "Quasi-isentropic compression of LiH above 400 GPa using magnetocumulative generator." Review of Scientific Instruments 93, no. 4 (2022): 043906. http://dx.doi.org/10.1063/5.0078422.

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The knowledge of high-pressure behavior of LiH is significant for the validation of fundamental theoretical models and applications in thermonuclear materials and potential energy supplies. The compressibility of 7LiH under isentropic compression at high pressure was investigated experimentally and theoretically. The experimental technique for quasi-isentropic compression with low-density materials was developed using the magnetocumulative generator CJ-100 and x-ray flash radiography. The x-ray images and extracted interface of the sample target in dynamic flash radiography experiments were obtained. According to each interface size of the target both before and after compression, the compression ratio of 7LiH and reference material aluminum was obtained. The density of the reference and using its known isentropic curve provide the pressure in the reference. The pressure in 7LiH was deduced from the pressure in the reference and using the calculated gradient correction factor. The quasi-isentropic data point at 438 GPa was obtained experimentally. A semiempirical three-term complete equation of state was constructed and validated for 7LiH using the theory of Mie–Grüneisen–Debye with experimental data from the literature. The quasi-isentrope data point is reasonably consistent with the theoretical results. The quasi-isentropic experimental techniques and results broaden the existing research scope and are practical and helpful to further validate theoretical models in the future.

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Kohar, Kirti, Marvi Gupta, and Hariti Mehta. "Review of Density and Ultrasonic Velocity of Various Complexes and Its Applications." International Journal of Research and Review 11, no. 1 (2024): 431–37. http://dx.doi.org/10.52403/ijrr.20240147.

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This review paper delves into the fundamental principles, measurement techniques, and diverse applications of ultrasonic velocity and density. Ultrasonic velocity serves as a crucial parameter in various fields such as materials science, acoustics, and medical diagnostics whereas density is used for identifying substances, quality control, analyzing mixtures, assessing purity, explaining buoyancy, determining concentrations, calibrating instruments, monitoring pollution, and understanding reactivity. This paper provides an in-depth exploration of the underlying concepts, different measurement methods, and the wide-ranging applications of ultrasonic velocity and density. The ultrasonic velocity and density data have also been used to evaluate various acoustic parameters such as isentropic compressibility, apparent isentropic molar compressibility, solvation number of the solute and relative association. Ultrasonic velocity measurements are found to be useful for on-line assessment of the extent of degradation of mechanical properties associated with precipitation of intermetallics. Keywords: Density, Ultrasonic velocityThis review paper delves into the fundamental principles, measurement techniques, and diverse applications of ultrasonic velocity and density. Ultrasonic velocity serves as a crucial parameter in various fields such as materials science, acoustics, and medical diagnostics whereas density is used for identifying substances, quality control, analyzing mixtures, assessing purity, explaining buoyancy, determining concentrations, calibrating instruments, monitoring pollution, and understanding reactivity. This paper provides an in-depth exploration of the underlying concepts, different measurement methods, and the wide-ranging applications of ultrasonic velocity and density. The ultrasonic velocity and density data have also been used to evaluate various acoustic parameters such as isentropic compressibility, apparent isentropic molar compressibility, solvation number of the solute and relative association. Ultrasonic velocity measurements are found to be useful for on-line assessment of the extent of degradation of mechanical properties associated with precipitation of intermetallics. Keywords: Density, Ultrasonic velocity

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Elveny, Marischa, Meysam Hosseini, Tzu-Chia Chen, Adedoyin Isola Lawal, and S. M. Alizadeh. "Estimation of Isentropic Compressibility of Biodiesel Using ELM Strategy: Application in Biofuel Production Processes." BioMed Research International 2021 (July 12, 2021): 1–7. http://dx.doi.org/10.1155/2021/7332776.

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Isentropic compressibility is one of the significant properties of biofuel. On the other hand, the complexity related to the experimental procedure makes the detection process of this parameter time-consuming and hard. Thus, we propose a new Machine Learning (ML) method based on Extreme Learning Machine (ELM) to model this important value. A real database containing 483 actual datasets is compared with the outputs predicted by the ELM model. The results of this comparison show that this ML method, with a mean relative error of 0.19 and R 2 values of 1, has a great performance in calculations related to the biodiesel field. In addition, sensitivity analysis exhibits that the most efficient parameter of input variables is the normal melting point to determine isentropic compressibility.

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Rohman, Nashiour, Sekh Mahiuddin, Narendra N. Dass, and Ki-Pung Yoo. "Isentropic compressibility of aqueous and methanolic electrolytic solution." Korean Journal of Chemical Engineering 19, no. 4 (2002): 679–84. http://dx.doi.org/10.1007/bf02699317.

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Hagopian, Sair, and Scott L. Whittenburg. "Hypersonic speed and dynamic isentropic compressibility in pyridazine." Journal of Chemical Thermodynamics 21, no. 8 (1989): 895–96. http://dx.doi.org/10.1016/0021-9614(89)90037-2.

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Rodriguez, Carmen, and Frank J. Millero. "Modeling the Density and Isentropic Compressibility of Seawater." Journal of Solution Chemistry 42, no. 2 (2013): 303–16. http://dx.doi.org/10.1007/s10953-013-9961-5.

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Durga Bhavani, M., Ch Kavitha, K. Narendra, and P. Bhavani. "Density, Speed of Sound and Derived Properties of Binary Mixtures Propiophenone + Butoxyethanol at T = (303.15, 308.15, 313.15 and 318.15) K." Asian Journal of Chemistry 36, no. 4 (2024): 907–12. http://dx.doi.org/10.14233/ajchem.2024.30932.

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The current study reports the experimental density (ρ) and sound speed (u) values for binary mixes of liquids propiophenone + 2-butoxyethanol at atmospheric pressure (0.1 MPa) and T = (303.15, 308.15, 313.15 and 318.15) K for the full spectrum of composition. densities and sound speed measurements from experiments have been used to estimate excess isentropic compressibility (κsE), excess molar volume (VEm), excess molar isentropic compressibility (KEs,m), excess isobaric thermal expansivity (αEp) and excess sound speed (uE). The Redlich-Kister polynomials were used to correlate excess parameters. Excess partial molar volume quantities (VEm,1 and VEm,2) at infinite dilution and their limiting values (V0Em,1 and V0Em,2) have been analytically determined using Redlich-Kister polynomials from the experimental density data. The results have been analyzed in light of strength and interactions among molecular entities scope and extent prevalent in these mixtures.

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Baluja, Shipra, and Pravin Kasundra. "Acoustical Studies of some Chalcones in DMF and DMSO Solutions." International Letters of Chemistry, Physics and Astronomy 44 (January 2015): 130–40. http://dx.doi.org/10.18052/www.scipress.com/ilcpa.44.130.

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This work reports densities, speeds of sound, and isentropic compressibility of the solutions of some synthesized chalcones in N,N-dimethylformamide and dimethyl sulphoxide solutions of various concentrations at 308.15 K with a view to understand molecular interactions in these solutions.

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Baluja, Shipra, and Pravin Kasundra. "Acoustical Studies of some Chalcones in DMF and DMSO Solutions." International Letters of Chemistry, Physics and Astronomy 44 (January 14, 2015): 130–40. http://dx.doi.org/10.56431/p-54m5x9.

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DWIVEDI, SONU. "Study of Acoustical and Physico-chemical Properties for the Ternary Mixture of (Toluene+ Chlorobenzene + Cyclohexane) at 298.15 K Temperature." Journal of Ultra Chemistry 17, no. 2 (2021): 9–15. http://dx.doi.org/10.22147/juc/170201.

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Ultrasonic velocity (U), density (ρ) for the ternary mixture of (Toluene + Chlorobenzene + Cyclohexane) in the various range of composition has been carried out at 298.15K. The observed data have been utilized to calculate various acoustical parameters like Isentropic compressibility (KS), Intermolecular free length (Lf) and acoustic impedance (Z). The various excess properties like excess ultrasonic velocity(UE ), excess acoustic impedance (ZE ), excess Isentropic compressibility (KS E ) and excess Inter molecular free length (Lf E ) have been calculated and using standard relations to the Redlich-Kister equation. The trend of acoustical and physicochemical parameters confirm the dynamics of molecules at temperature and the magnitude of intermolecular interactions among the constituents of the mixture always reflects the nature of substance. The variations in sign and values of these parameters are help us to know the interaction between component molecules and structural arrangement of the liquid mixture.

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Rao, G. V. Gangadhara, and Shaik Babu. "Molecular Interactions of Piperidinium Based Ionic Liquids with Water/Alcohol at Different Temperatures." Asian Journal of Chemistry 33, no. 1 (2020): 195–202. http://dx.doi.org/10.14233/ajchem.2021.22977.

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In this experimental investigation, the thermodynamic fundamental parameters of density (ρ) and speed of sound(U) were calibrated for aqueous solution/alcoholic (1-propanol and 2-propanol) solutions of piperidinium based ionic liquids of 1-butyl-1-methylpiperidinium tetrafluoroborate (BMPiBF4) in various concentrations within temperatures from 303.15 to 313.15 K. From these experimental determined values, various thermodynamic acoustic parameters of excess molar isentropic compressibility (KE s,m), excess molar volume (VE m) are expressed in specific and non-specific molecular interactions. Moreover, calibration of the partial molar volume′s and partial isentropic compressibility′s of both components shows strong interaction in BMPiBF4 + 2-proponol combination than any other executed binary composites. In addition to this, the FTIR characteristic spectrum of all combinations at different concentrations gives the more promising features such as interaction behaviour that helps our analysis to guide the interactions of individual bonds.

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Majstorovic, Divna, Marija Mirkovic, Mirjana Kijevcanin, and Emila Zivkovic. "Analysis of thermophysical properties of binary systems containing ethyl acetate and 1-propanol or 1-butanol." Chemical Industry 74, no. 3 (2020): 163–85. http://dx.doi.org/10.2298/hemind191203017m.

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The aim of this research is the experimental determination of density, viscosity, refractive index and speed of sound for binary mixtures of the ester ethyl acetate and alcohols. Experimental measurements were carried out for two systems with 1-propanol and 1-butanol at atmospheric pressure and in a temperature range 288.15 - 323.15 K. Results of experimental measurements were further used to determine excess molar volumes, viscosity deviations, refractive index deviations, and excess isentropic compressibility for each investigated mixture. These calculated data were correlated using the empirical Redlich-Kister equation. Positive values of the excess molar volume and isentropic compressibility appear for both analysed systems, while values of viscosity and refractive index deviations are negative. The structure and specific characteristics of different molecules in considered mixtures and determined non-ideal behaviour allow the insight into the possible type of interactions in the mixture, interstitial accommodation and structural effects.

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Rohman, Nashiour, Narendra N. Dass, and Sekh Mahiuddin. "Isentropic Compressibility of Aqueous and Methanolic Sodium Thiocyanate Solutions." Journal of Chemical & Engineering Data 44, no. 3 (1999): 465–72. http://dx.doi.org/10.1021/je9802423.

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Jain, Vinod K., and Scott L. Whittenburg. "Hypersonic speed and isentropic compressibility in pyridine and piperidine." Journal of Chemical Thermodynamics 19, no. 7 (1987): 781–83. http://dx.doi.org/10.1016/0021-9614(87)90100-5.

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Pathania, Vivek, Manpreet Kaur, B. K. Vermani, Shrutila Sharma, and Navya Grover. "Solvation Behaviour of Some Copper(I) Nitrate Complexes in Dimethylsulfoxide and Nitromethane at 298 K." Asian Journal of Chemistry 33, no. 8 (2021): 1776–82. http://dx.doi.org/10.14233/ajchem.2021.23231.

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The ultrasonic velocities of solutions of Bu4NBPh4, Bu4NClO4, [Cu(AN)4]NO3, [Cu(BN)4]NO3, [Cu(Phen)2]NO3, [Cu(DMPhen)2]NO3, [Cu(Bipy)2]NO3 and [Cu(TU)4]NO3 (where AN = acetonitrile, BN = benzonitrile, Phen = 1,10-phenanthroline, DMPhen = 2,9-dimethyl-1,10-phenanthroline, Bipy = 2,2′-bipyridyl and TU = thiourea) were measured in the concentration range 0.03-0.27 M in dimethylsulfoxide (DMSO), nitromethane (NM) and binary mixtures of DMSO + NM containing 0, 20, 40, 60, 80 and 100 mol% NM at 298 K in the present studies. Using ultrasonic velocity and density data, isentropic compressibility (κs) and apparent molal isentropic compressibility (κs,φ) for electrolytes in DMSO + NM mixture have been calculated. Result shows that copper(I) electrolytes show less solvation in NM rich regions indicating structure breaking tendency of nitromethane. Extent of solvation in Cu(I) ions decreases in the order: [Cu(AN)4]+ > [Cu(BN)4]+ > [Cu(TU)4]+ > [Cu(DMPhen)2]+ > [Cu(Phen)2]+ > [Cu(Bipy)2]+.

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Ali, Anwar, Abida, Soghra Hyder, and Anil Kumar Nain. "Molecular Interaction in Binary Mixtures of Benzyl Alcohol with Ethanol, Propan-1-ol and Octan-1-ol at 303 K: An Ultrasonic and Viscometric Study." Collection of Czechoslovak Chemical Communications 67, no. 8 (2002): 1125–40. http://dx.doi.org/10.1135/cccc20021125.

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Densities, ultrasonic speeds and viscosities have been measured for benzyl alcohol, ethanol, propan-1-ol, octan-1-ol and for their binary mixtures with benzyl alcohol as common component at 303 K. From the experimental data, isentropic compressibility, relative association, acoustic impedance, molar sound velocity, excess volume, excess isentropic compressibility, deviations of viscosity and ultrasonic speed from linear dependence on composition, excess acoustic impedance and molecular association for all the three binary mixtures were obtained. These parameters have been interpreted in terms of intermolecular interactions. The experimental viscosity data of the three binary mixtures were used to test the validity of the empirical relations of Grunberg-Nissan, Tamura-Kurata, Hind-Mclaughlin, Katti-Chaudhary and Heric. The experimental values of ultrasonic speeds have been compared with those predicted on the basis of the Nomoto empirical relation, collision factor theory, free length theory and van Dael and Vangeel ideal mixing relation. The relative merits of these theories and relations are discussed.

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Muhammad A. R. Khan, Mohammed Sohel, Faisal I Chowdhury, and Shamim Akhtar. "Sound Velocities in Aqueous Solutions of n-Butylamine between 303.15 and 323.15 K: Experiment and Theory." Journal of Applied Science & Process Engineering 9, no. 2 (2022): 1177–96. http://dx.doi.org/10.33736/jaspe.4636.2022.

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Density (ρ) and sound velocity (u) have been measured for aqueous solutions of n-butylamine ( W + NBA) in the whole range of composition at an interval of 5 K. Deviation in Sound Velocity (∆u), Isentropic Compressibility (Ks), Excess Isentropic Compressibility (KsE), Specific Acoustic Impedance (Z), Rao's Constant (R) and Wada's Constant (W) have been calculated from measured u and ρ. ∆u versus x2 curve is negative and with the increment of temperature, ∆u decreases; Ks values of W + NBA are all positive whereas KsE values are all negative. All the above outcomes are interpreted in terms of molecular interaction especially hydrogen bonding and hydrophobic hydration between water and n-butylamine. Moreover, experimental data for u correlated with some theoretical equations. The relations are Nomoto’s Relation (uN), Impedance Relation (uIR), the Rao’s specific velocity method relation (uR), Van Deel’s ideal mixing relation (uIMR) and theoretical sound velocity according to Free Length Theory (uFLT). The validity of these relations with experimental values has been tested by measuring standard percentage deviation () and average percentage error (APE).

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Awasthi, Anjali, Reetesh Srivastava, Vrijesh K. Pandey, Vikash Verma, and Aashees Awasthi. "Volumetric behaviour and isentropic compressibility of formamide with 2-dialkylaminoethanols." Thermochimica Acta 668 (October 2018): 40–45. http://dx.doi.org/10.1016/j.tca.2018.08.001.

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Goodman, Mark A., Vinod K. Jain, and Scott L. Whittenburg. "Hypersonic speed and isentropic compressibility in m- and p-cresols." Journal of Chemical Thermodynamics 18, no. 5 (1986): 415–17. http://dx.doi.org/10.1016/0021-9614(86)90087-x.

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Jain, Vinod K., and Scott L. Whittenburg. "Hypersonic speed, dynamic isentropic compressibility, and refractive indices for pyrimidine." Journal of Chemical Thermodynamics 20, no. 9 (1988): 1117–18. http://dx.doi.org/10.1016/0021-9614(88)90120-6.

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X., ROSARIO RAJKUMAR, V. RAMAN K., and J. ARULRAJ S. "Isentropic Compressibilities and Excess Volumes of Binary Systems of Anisole with some Aromatic Compounds Having Different Functional Groups." Journal of Indian Chemical Society Vol. 62, Jul 1985 (1985): 516–18. https://doi.org/10.5281/zenodo.6321810.

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Department of Chemistry, St. Joseph's College, Tiruchirapalli-620 002 Manuscript received 18 September 1984, accepted 3 June 1985 Ultrasonic velocities and densities for the binary mixtures of anisole with aniline, benzonitrile, nitrobenzene and o-chlorophenol have been measured over the entire com- position range at 308.15 K. From the experimental results, isentropic compressibilitles and excess volumes of mixing are computed. The deviations in isentropic compressibility (from ideal behaviour) and excess volumes of mixing are negative for these systems at all composition. Explanations for these results have been given in terms of the interaction between their electron-donating and withdrawing groups.

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UMARALIKHAN L and DR. M. JAMAL MOHAMED JAFFAR. "Ultrasonic studies of molecular interactions in binary mixtures of n-Butanol with water at different temperatures (308K, 318K and 328K)." JOURNAL OF ADVANCED APPLIED SCIENTIFIC RESEARCH 1, no. 1 (2015): 27–32. http://dx.doi.org/10.46947/joaasr1120152.

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The experimental ultrasonic velocity (u), density (ρ) and viscosity (ƞ) of butanol mixed with water has been measured over the full range of compositions at atmospheric pressure and at different temperatures (308, 318 and 328 K). From these experimental values the molar Isentropic compressibility (βs), Intermolecular free length (Lf), Free volume (Vf) and Acoustic impedance (Z) are calculated.

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SIMONE, A., G. N. COLEMAN, and C. CAMBON. "The effect of compressibility on turbulent shear flow: a rapid-distortion-theory and direct-numerical-simulation study." Journal of Fluid Mechanics 330 (January 10, 1997): 307–38. http://dx.doi.org/10.1017/s0022112096003837.

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The influence of compressibility upon the structure of homogeneous sheared turbulence is investigated. For the case in which the rate of shear is much larger than the rate of nonlinear interactions of the turbulence, the modification caused by compressibility to the amplification of turbulent kinetic energy by the mean shear is found to be primarily reflected in pressure–strain correlations and related to the anisotropy of the Reynolds stress tensor, rather than in explicit dilatational terms such as the pressure–dilatation correlation or the dilatational dissipation. The central role of a ‘distortion Mach number’ Md = S[lscr ]/a, where S is the mean strain or shear rate, [lscr ] a lengthscale of energetic structures, and a the sonic speed, is demonstrated. This parameter has appeared in previous rapid-distortion-theory (RDT) and direct-numerical-simulation (DNS) studies; in order to generalize the previous analyses, the quasi-isentropic compressible RDT equations are numerically solved for homogeneous turbulence subjected to spherical (isotropic) compression, one-dimensional (axial) compression and pure shear. For pure-shear flow at finite Mach number, the RDT results display qualitatively different behaviour at large and small non-dimensional times St: when St < 4 the kinetic energy growth rate increases as the distortion Mach number increases; for St > 4 the inverse occurs, which is consistent with the frequently observed tendency for compressibility to stabilize a turbulent shear flow. This ‘crossover’ behaviour, which is not present when the mean distortion is irrotational, is due to the kinematic distortion and the mean-shear-induced linear coupling of the dilatational and solenoidal fields. The relevance of the RDT is illustrated by comparison to the recent DNS results of Sarkar (1995), as well as new DNS data, both of which were obtained by solving the fully nonlinear compressible Navier–Stokes equations. The linear quasi-isentropic RDT and nonlinear non-isentropic DNS solutions are in good general agreement over a wide range of parameters; this agreement gives new insight into the stabilizing and destabilizing effects of compressibility, and reveals the extent to which linear processes are responsible for modifying the structure of compressible turbulence.

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Anand, Hardeep, Narender Singh, and Suresh Kumar. "Ion-Solvent Interactions Investigated by Isentropic Compressibility Measurements of Lithium and Sodium Salts in Binary Mixtures of Acetonitrile and Nitromethane at 298.15 K." Asian Journal of Chemistry 33, no. 6 (2021): 1447–51. http://dx.doi.org/10.14233/ajchem.2021.23279.

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Ultrasonic velocities (u) and densities (ρ) of lithium perchlorate (LiClO4), sodium perchlorate (NaClO4), sodium tetraphenylborate (NaBPh4), tetrabutylammonium tetraphenylborate (Bu4NBPh4) and tetrabutylammonium perchlorate (Bu4NClO4) were measured in the concentration range 0.001-0.25 mol kg-1 in acetonitrile (AN) and nitromethane (NM) binary mixtures consisting of 0, 20, 40, 60, 80 and 100 mol%NM in AN at 298.15 K. The isentropic compressibility (Ks) and apparent molal isentropic compressibility (Ks,f) values of the above salts in all solvent mixtures have been evaluated from experimental data. Limiting apparent molal isentropic compressibilities (Ko s,φ) for various salts were evaluated and split into the ionic contributions (Ko s,φ)±. The variation of (Ko s,φ)± with solvent compositions shows that Li+ and Na+ ions have very large negative (Ko s,φ)± values indicating strong solvation of both Li+ and Na+ ions in AN + NM mixtures over whole binary solvent composition range. Stronger solvation was further observed in the intermediate compositions of AN + NM mixtures. Li+ ions, however, showed much higher solvation as compared to Na+ ions at all compositions. The ClO4 – ions showed feeble solvation in AN + NM mixtures through some interaction with AN binary mixtures with higher mol% of AN. The positive values of (Ko s,φ)± with large magnitude for Bu4N+ and Ph4B– ions indicate solvophobic type of interaction with the solvent molecules, which is stronger in the intermediate compositions of AN + NM mixtures.

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Ambomase, Siti S. B., Sushree Tripathy, Minaketan Tripathy, and Upendra N. Dash. "Studies on Water-Polymer Interactions inthe Presence of Aceclofenac at 298.15 K." E-Journal of Chemistry 8, no. 1 (2011): 63–70. http://dx.doi.org/10.1155/2011/545313.

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Densities and ultrasonic velocities of aqueous mixtures of methyl cellulose (MC) and polyethylene glycol (PEG) and of methyl cellulose and hydroxyl propyl methyl cellulose (HPMC), over the compositions, 9:1, 8:2 and 6:4, and of MC, HPMC and PEG, over the compositions, 9:0.5:0.5, 8:1:1 and 6:2:2, have been measured with and without acelofenac at 298.15K and at atmospheric pressure. The experimental ultrasonic velocities have been used to determine isentropic compressibilities, apparent isentropic molar compressibilities, acoustic impedance, molar compressibility, molar sound velocity, free volume and relative association for the systems with and without aceclofenac. The results have been discussed in terms of solute solvent and solute-solute interactions and various structural effects.

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Wahab, Abdul, and Sekh Mahiuddin. "Electrical conductivity, speeds of sound, and viscosity of aqueous ammonium nitrate solutions." Canadian Journal of Chemistry 79, no. 8 (2001): 1207–12. http://dx.doi.org/10.1139/v01-104.

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Density, electrical conductivity, speeds of sound, and viscosity of aqueous ammonium nitrate solutions were measured as functions of concentration (m, mol kg1) (0.1599 [Formula: see text] m [Formula: see text] 20.42) and temperature (T, K) (273.15 [Formula: see text] T [Formula: see text] 323.15). Experimental values are consistent with the reported data. Variation of isotherms of electrical conductivity, isentropic compressibility, and structural relaxation time with concentration evoke structural information on the ion solvation in aqueous ammonium nitrate solution at different concentration regions. The primary hydration numbers of ammonium nitrate were estimated at a particular concentration at which the isentropic compressibility isotherms converge. The existence of free hydrated ions, resulting from strong ion solvent interactions in dilute to 9.1 mol kg1, the solvent-separated ion-pairs resulting from the relative competition between the ionsolvent and the ionion interactions in 9.1 to 12.0 mol kg1, and the solvent-shared ion-pairs beyond 12.0 mol kg1 resulting from a decrease in the number of solvent molecules, govern the transport process.Key words: electrical conductivity, speeds of sound, viscosity, ammonium nitrate, hydration number.

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Kaatze, Udo. "Hydrophobic hydration displayed by the molal shift in the isentropic compressibility." Chemical Physics Letters 544 (August 2012): 28–33. http://dx.doi.org/10.1016/j.cplett.2012.06.066.

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Nichita, Dan Vladimir, Perveiz Khalid, and Daniel Broseta. "Calculation of isentropic compressibility and sound velocity in two-phase fluids." Fluid Phase Equilibria 291, no. 1 (2010): 95–102. http://dx.doi.org/10.1016/j.fluid.2009.12.022.

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Wahab, Abdul, and Sekh Mahiuddin. "Isentropic Compressibility and Viscosity of Aqueous and Methanolic Calcium Chloride Solutions." Journal of Chemical & Engineering Data 46, no. 6 (2001): 1457–63. http://dx.doi.org/10.1021/je010072l.

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Mochalov, M. A., R. I. Il’kaev, V. E. Fortov, et al. "Quasi-Isentropic Compressibility of Deuterium at a Pressure of ~12 TPa." JETP Letters 107, no. 3 (2018): 168–74. http://dx.doi.org/10.1134/s0021364018030116.

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Onori, G. "Isentropic compressibility behaviour of dilute solutions of ethyl-alcohol in water." Il Nuovo Cimento D 8, no. 5 (1986): 465–80. http://dx.doi.org/10.1007/bf02450610.

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Shekaari, Hemayat, Mohammed Taghi Zafarani-Moattar, Seyyedeh Narjes Mirheydari, and Elnaz Mazaher Haji Agha. "Effect of 1-Octyl-3-Methylimidazolium Salicylate as an Active Pharmaceutical Ingredient (API-IL) on the Thermodynamic Behavior of Aqueous Glycine Solutions at T= 298.15 K." Pharmaceutical Sciences 25, no. 2 (2019): 154–64. http://dx.doi.org/10.15171/ps.2019.23.

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Background: The thermophysical properties of 1-octyl-3-methylimidazolium salicylate as an active pharmaceutical ingredient based on ionic liquid have been investigated in the presence of aqueous solutions of glycine. Therefore, the scope of this article was to determine these properties by measuring the densities, speeds of sound, viscosities, electrical conductances and refractive indices for ternary (glycine + 1-octyl-3-methylimidazolium salicylate + water) soloutions at T = 298.15 K. Methods: A commercial density and speed of sound measurement apparatus was used to measure the density and speed of sound data. Viscosities, electrical conductivities and refractive indices of the studied solutions were measured using digital viscometer, conductivity meter and refractometer, respectively. Results: Variety of properties such as partial molar volume of transfer ∆traV0ϕ, partial molar isentropic compressibility of transfer ∆traK0ϕ, viscosity B-coefficients of transfer ∆traB, ion association constants (KA) and molar refraction RD were determined to investigate the solute-solute and solute-solvent interactions in these systems. Conclusion: The positive values of transfer properties including partial molar volume of transfer (∆traV0ϕ), partial molar isentropic compressibility of transfer (∆traK0ϕ), and viscosity B-coefficients of transfer (∆traB) indicated that in these systems, the ion-polar and polar-polar interactions are dominant. The calculated hydration number showed that dehydration of glycine occurs in presence of this ionic liquid.

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Reyna, Carlos A. B., Ediguer E. Franco, Jose H. Lopes, Marcos S. G. Tsuzuki, and Flávio Buiochi. "Determination of Partial Propagation Velocity and Partial Isentropic Compressibility Coefficient in Water–Ethanol System." Sensors 24, no. 13 (2024): 4061. http://dx.doi.org/10.3390/s24134061.

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This study introduces an innovative approach to the layered model, emphasizing the physical–chemical characterization of miscible liquid systems through ultrasonic techniques, with a specific focus on the water–ethanol system used in pharmaceutical formulations. Traditional characterization methods, while effective, face challenges due to the complex nature of solutions, such as the need for large pressure variations and strict temperature control. The proposed approach integrates partial molar volumes and partial propagation velocity functions into the layered model, enabling a nuanced understanding of miscibility and interactions. Ultrasonic techniques are used to calculate the isentropic compressibility coefficient for each component of the mixture as well as the total value using an additive mixing rule. Unlike conventional methods, this technique uses tabulated and experimental data to estimate the propagation velocity in the mixture, leading to a more precise computation of the isentropic compressibility coefficient. The results indicate a significant improvement in predicting the behavior of the water–ethanol system compared to the classical layered model. The methodology demonstrates the potential to provide new physicochemical insights that can be applied to other miscible systems beyond water–ethanol. This research has implications for improving the efficiency and accuracy of liquid medication formulations in the pharmaceutical industry.

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Rita, Mehra, and Pancholi Meenakshi. "Acoustic studies of systems of aliphatic and aromatic hydrocarbons with 1-butanol at 298, 308 and 318 K and application of theoretical approaches." Journal of Indian Chemical Society Vol. 82, Sep 2005 (2005): 791–94. https://doi.org/10.5281/zenodo.5827409.

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Department of Pure & Applied Chemistry, M. D. S . University, Ajmer-305 009, India Manuscript received 3 November 2004, revised 19 April 2005, accepted 21 June 2005 The solvation behaviour of benzene and hexane with 1-butanol have been studied from sound speed (u), density (ρ) and viscosity (ղ) at three temperatures 298, 308 and 318 K. These data are used to calculate isentropic compressibility (Ks), intermolecular free length (Lf) and acoustic impedance (Z). The excess parameters for the systems viz. deviation in viscosity (Δղ), deviation in isentropic compressibility (ΔKs), excess intermolecular free length (LEf), excess acoustic impedance (ZE), which are used in interpreting the extent and type of interactions in both the systems. The excess properties were fitted to the Redlich-Kister equation for the computation of smoothening coefficients. Weak interactions of dipole-induced dipole type are possible in the system. The validity of various theoretical approaches of liquids has been tested for the system under investigation, by comparing theoretical sound speeds with those experimentally determined over the entire composition range and at the temperatures taken for study. Free Length Theory is the best suited for such systems.

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Lomesh, Shashi Kant, Vikas Nathan, Madhu Bala, and Inesh Kumar. "Interactions of Drug Doxycycline Hyclate with Galactitol in Aqueous Solutions at Different Temperatures by Volumetric and Acoustic Methods." Zeitschrift für Physikalische Chemie 234, no. 11-12 (2020): 1853–74. http://dx.doi.org/10.1515/zpch-2019-1386.

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AbstractThe experimental values of density, ρ and speed of sound, u of doxycycline hyclate drug (0.002–0.014) mol kg−1 in water and (0.1, 0.2 and 0.4) mol kg−1 of aqueous galactitol solutions at temperatures T = (303.15, 308.15 and 313.15) K and at atmospheric pressure have been reported in the present communication. From the experimental values, various derived parameters such as apparent molar volume (ΦV), apparent molar isentropic compression (ΦK), limiting apparent molar volume ($\phi_{\text{v}}^{\text{o}}$), limiting apparent molar isentropic compression ($\phi_{\text{K}}^{\text{o}}$), limiting apparent molar volume of transfer (Δ$\phi_{\text{V}}^{\text{O}}$), limiting apparent molar isentropic compression of transfer (Δ$\phi_{\text{K}}^{\text{O}}$), limiting apparent molar expansibility ($\phi_{\text{E}}^{\text{o}}$), thermal expansion coefficient (α) and acoustic parameters like isentropic compressibility $({{\kappa}_{\text{S}}})$, intermolecular free length (Lf), and specific acoustic impedance (Z) were calculated. The structure-making behaviour of DH in aqueous galactitol solution was determined on the basis of Hepler’s Equation i.e. on the basis of sign of ${\left({\frac{{{{\text{d}}^{2}}\phi_{\text{V}}^{\text{O}}}}{{{\text{d}}{{\text{T}}^{2}}}}}\right)_{\text{P}}}$. The various derived parameters were utilised to interpret the molecular interactions i.e. solute–solute and solute–solvent existing in the studied system.

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Slocumb, Hannah S., and Gerald R. Van Hecke. "Density, Viscosity, Refractive Index, Speed of Sound, Molar Volume, Isobaric Thermal Compressibility, Excess Gibbs Activation for Fluid Flow, and Isentropic Compressibility of Binary Mixtures of Methanol with Anisole and with Toluene at 298.15 K and 0.1 MPa." Liquids 4, no. 2 (2024): 402–14. http://dx.doi.org/10.3390/liquids4020021.

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Density, viscosity, refractive index, and ultrasonic velocity were measured for the pure materials anisole, methanol, and toluene, and for the binary mixtures: methanol—anisole and methanol—toluene. Excess molar volume VE, isobaric thermal compressibility α, excess Gibbs activation energy for fluid flow ΔGE*, and excess isentropic compressibility κSE were calculated from the measured quantities. For both binary mixtures VE and κSE were <0 while Δn > 0 and ΔGE* > 0 over the entire mole fraction composition range. Anisole mixtures exhibited more negative values for VE and κSE while more positive values were displayed for Δn and ΔGE* compared to toluene mixtures. For Δη, negative values were observed at low alcohol concentrations but positive values at high alcohol concentrations for both systems.

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Aminabhavi, Tejraj M., and Shrinivas K. Raikar. "Thermodynamic Interactions in Binary Mixtures of 2-Methoxyethanol with Alkyl and Aryl Esters at 298.15, 303.15 and 308.15 K." Collection of Czechoslovak Chemical Communications 58, no. 8 (1993): 1761–76. http://dx.doi.org/10.1135/cccc19931761.

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Densities, viscosities, refractive indices, and sound velocities of 2-methoxyethanol + ester mixtures have been measured at 298.15, 303.15 and 308.15 K. These data have been used to calculate excess volume, excess isentropic compressibility, excess refraction, excess viscosity and excess Gibbs energy of activation of flow. These quantities have been fitted to quadratic equations to estimate the parameters and standard errors. The results have been interpreted in term of the intermolecular interactions between the mixing components.

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Anand, Hardeep, Narender Singh, Suresh Kumar, and Manju Rani. "Compressibility Studies of Solvation Behaviour of Lithium and Sodium Ions in Nitromethane + Dimethylsulfoxide Binary Mixtures at 298.15 K." Asian Journal of Chemistry 33, no. 10 (2021): 2417–22. http://dx.doi.org/10.14233/ajchem.2021.23388.

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The isentropic compressibilities (Ks) and apparent molal isentropic compressibilities (Ks,φ) of lithium perchlorate (LiClO4), sodium perchlorate (NaClO4), sodium tetraphenylborate (NaBPh4), tetrabutylammonium tetraphenylborate (Bu4NBPh4) and tetrabutylammonium perchlorate (Bu4NClO4), have been calculated from measured ultrasonic velocity (u) and density (ρ) of these salts in the concentration range 0.001 to 0.60 mol Kg-1 in the mixed binary solutions of nitromethane (NM) and dimethyl sulfoxide (DMSO) containing 0, 20, 40, 60, 80 and 100 mol% of DMSO in NM at 298.15 K. Limiting values of apparent molal isentropic compressibilities (K°s,φ) for various salts were evaluated and split into the contributions (K°s,φ)± of the individual ions. Exceptionally large and negative (K°s,φ)± values were obtained whose variation with solvent composition shows strong solvation of both Li+ and Na+ in NM + DMSO mixtures at all compositions of the mixed binary solutions. Solvation of Li+ and Na+ increases as mol% of DMSO in NM increases. Solvation exhibited by Li+, however, is much stronger than Na+ in all compositions of the mixtures. Solvation exhibited by ClO4 – in NM + DMSO mixtures is weak which perchlorate ion shows by having some interactions with DMSO in the DMSO-rich compositions of the mixtures. The large and positive values for Bu4N+ and Ph4B– are indicative of some special type of interactions, mainly solvophobic with the solvent molecules.

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Anil Kumar, K., and Ch Srinivasu. "Excess Parameter Studies on Tetrahydropyran with 1-Hexanol at T = 298.15 to 318.15 K Using Anton Paar." International Letters of Chemistry, Physics and Astronomy 36 (July 2014): 114–24. http://dx.doi.org/10.18052/www.scipress.com/ilcpa.36.114.

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Sound velocity, densities of binary mixture of Tetrahydropyran (THP) with 1-hexanol has been measured over the entire range of composition at T = 298.15 to 318.15 K. The excess parameters viz., excess sound velocity, deviations in isentropic compressibility, excess molar volume, excess free length and excess acoustic impedance are deduced from experimental values and discussed intermolecular interactions present in the mixture. At the end all the parameters have been fitted to Redlich-Kister equation and their coefficients are obtained.

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Anil Kumar, K., and Ch Srinivasu. "Excess Parameter Studies on Tetrahydropyran with 1-Hexanol at T = 298.15 to 318.15 K Using Anton Paar." International Letters of Chemistry, Physics and Astronomy 36 (July 15, 2014): 114–24. http://dx.doi.org/10.56431/p-9n6xf1.

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Wagh, Pralhad S., Ajit N. Bhumkar, and Manapragada V. Rathnam. "Excess Volume, Viscosity, and Isentropic Compressibility of Methyl Acrylate + Alkane Binary Mixtures." Journal of Chemical & Engineering Data 65, no. 5 (2020): 2343–50. http://dx.doi.org/10.1021/acs.jced.9b00924.

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Mehta, S. K., and Kawaljit. "Isentropic compressibility and transport properties of CTAB-alkanol-hydrocarbon-water microemulsion systems." Colloids and Surfaces A: Physicochemical and Engineering Aspects 136, no. 1-2 (1998): 35–41. http://dx.doi.org/10.1016/s0927-7757(97)00321-x.

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