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Journal articles on the topic 'Debye-Huckel'

Author: Grafiati

Published: 4 June 2021

Last updated: 19 February 2022

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1

Blender, R., and W. Dieterich. "Debye-Huckel theory on random fractals." Journal of Physics A: Mathematical and General 19, no. 13 (September 11, 1986): L785—L790. http://dx.doi.org/10.1088/0305-4470/19/13/006.

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2

Zuckermann, M. J., A. Georgallas, and D. A. Pink. "The effect of electrostatic interactions and water polarization on the properties of charged lipid membranes: a theoretical approach." Canadian Journal of Physics 63, no. 9 (September 1, 1985): 1228–34. http://dx.doi.org/10.1139/p85-201.

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We describe the physical properties of a planar interface between an electrolyte and a charged lipid membrane. The model differs from the usual Gouy–Chapman–Debye–Huckel theory for electrolytes in that the dipolar nature of the water molecules is explicitly included. The polarization, dielectric constant, and electric potential of the electrolyte are calculated as functions of distance from the interface. The change in gel – liquid-crystal transition temperature is obtained as a function of pH and salt concentration from the free energy of the system. The results are compared to previous calculations using the Gouy–Chapman–Debye–Huckel theory and to experimental data for dimyristoyl-methylphosphoric acid.

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3

Quarati, P., and A. M. Scarfone. "Modified Debye‐Huckel Electron Shielding and Penetration Factor." Astrophysical Journal 666, no. 2 (September 10, 2007): 1303–10. http://dx.doi.org/10.1086/520058.

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4

Dobrynin, Andrey V., Michael Rubinstein, and Jean-François Joanny. "Polyampholyte solutions between charged surfaces: Debye–Huckel theory." Journal of Chemical Physics 109, no. 20 (November 22, 1998): 9172–76. http://dx.doi.org/10.1063/1.477470.

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5

Lee, Song Hi, and Joseph B. Hubbard. "Electrolytes constrained on fractal structures: Debye–Huckel theory." Journal of Chemical Physics 98, no. 2 (January 15, 1993): 1504–8. http://dx.doi.org/10.1063/1.464314.

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6

Borchardt, G., K. Kowalski, J. Nowotny, M. Rekas, and W. Weppner. "Electrical properties of undoped CoO — a Debye-Huckel approach." Journal of Materials Science 31, no. 19 (October 1996): 5185–90. http://dx.doi.org/10.1007/bf00355923.

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7

Sailaja, A., B. Srinivas, and I. Sreedhar. "Electroviscous Effect of Power Law Fluids in a Slit Microchannel With Asymmetric Wall Zeta Potentials." Journal of Mechanics 35, no. 4 (August 2, 2018): 537–47. http://dx.doi.org/10.1017/jmech.2018.25.

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ABSTRACTThis work analyzes the pressure driven flow of a power law fluid in a slit microchannel of asymmetric walls with electroviscous effects. The steady state Cauchy momentum and the Poisson-Boltzmann equation are solved for the velocity and the potential distribution inside the microchannel. The Debye-Huckel approximation as applicable for low zeta potentials is not made in the present work. The unknown streaming potential is solved by casting the governing equations as an optimization problem using COMSOL Multiphysics. This proposed method is very robust and can be used for a wide variety of cases. It is found that the asymmetry of the zeta potential at the two walls plays an important role on the streaming potential developed. There is a unique zeta potential ratio at which the streaming potential exhibits a maxima for both Debye-Huckel parameter and the power law index. Shear thinning fluids exhibit a stronger dependency of the streaming potential on asymmetry of the zeta potential than shear thickening fluids. For Newtonian fluids narrow slit microchannels develop larger streaming potentials compared to wider microchannels for a given asymmetry.

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8

Wagner, K., E. Keyes, T. W. Kephart, and G. Edwards. "Analytical Debye-Huckel model for electrostatic potentials around dissolved DNA." Biophysical Journal 73, no. 1 (July 1997): 21–30. http://dx.doi.org/10.1016/s0006-3495(97)78043-3.

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9

Nowotny, Janusz, and Mieczyslaw Rekas. "Defect Structure of Cobalt Monoxide: II, The Debye-Huckel Model." Journal of the American Ceramic Society 72, no. 7 (July 1989): 1207–14. http://dx.doi.org/10.1111/j.1151-2916.1989.tb09709.x.

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10

Gutierrez, F. A., H. Jouin, and E. Cormier. "A comparative study of the ion-sphere and debye-huckel potentials." Journal of Quantitative Spectroscopy and Radiative Transfer 51, no. 5 (May 1994): 665–69. http://dx.doi.org/10.1016/0022-4073(94)90122-8.

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11

Gharib, Farrokh, Karim Zare, and Kavosh Majlesi. "Ionic Strength Dependence of Formation Constants, Protonation and Complexation of Phenylalanine with Dioxovanadium(V) at different temperatures." Journal of Chemical Research 2000, no. 4 (April 2000): 186–87. http://dx.doi.org/10.3184/030823400103166896.

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The protonation constants of phenylalanine and the stability constants of the complexes between dioxovanadium(V) ion and phenylalanine have been determined spectrophotometrically, in the temperature range 15–35°C and ionic strength ranging from 0.1 to 1.5 mol dm−3 sodium perchlorate as a background salt, in the pH range 1.5–10.5, with high ligand to metal ratios. The values of enthalpy and entropy changes based on these formation constants were calculated. The dependence of protonation and the stability constants on ionic strength are described by a Debye-Huckel type equation.

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12

Holba, Vladislav. "Activity Coefficients of Tris(ethylenediamine)cobalt(III) Hexacyanoferrate(III) in Water and Mixed Water-Alcohol Solvents." Collection of Czechoslovak Chemical Communications 58, no. 8 (1993): 1791–97. http://dx.doi.org/10.1135/cccc19931791.

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The solubility of tris(ethylenediamine)cobalt(III) hexacyanoferrate(III) were measured in aqueous solution of NaClO4, NaCl, KCl, KBr, K2SO4, Mg2SO4, (CH3)4NBr, (C2H5)4NBr, (1-C3H7)4NBr, and (1-C4H9)4NBr, as well as in the solution of NaClO4 in mixtures of water with methanol and tert-butyl alcohol. The experimental mean activity coefficients are compared with theoretical ones evaluated with the aid of extended Debye-Huckel relation. From the solubilities in water and in water-alcoholic solvents the thermodynamic transfer functions of the saturating salt were calculated.

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13

KLUNK, M. A., S. DASGUPTA, S. B. SCHRÖPFER, B. V. G. NUNES, and P. R. WANDER. "COMPARATIVE STUDY OF GEOCHEMICAL SPECIATION MODELING USING GEODELING SOFTWARE." Periódico Tchê Química 16, no. 31 (January 20, 2019): 816–22. http://dx.doi.org/10.52571/ptq.v16.n31.2019.826_periodico31_pgs_816_822.pdf.

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Geochemical modeling is used to understand water-rock interactions that occur in the sedimentary basin. Activities of aqueous species are usually calculated using the Davies equation, Debye-Hückel equation, B-Dot or Newton-Raphson. We perform a comparative study of geochemical speciation using three different software: PHREEQCTM, Geochemist's WorkbenchTM (GWB) and GEODELING (own code). Details of each software are carefully analyzed, taking into account the distribution, mobility, and availability of chemical species in geological environments. We can observe very similar results in speciation when working with low-temperature systems. GWBTM, GEODELING employ an integrated system to define when to use Davies, Debye-Huckel or B-Dot equation, according to the value of the solution ionic strength. The utilization of GEODELING allows comparing the results with software GWBTM and PHREEQCTM with a high degree of acceptance for low temperatures. Soon to high temperatures, we need to be cautious in their use.

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14

di Caprio and Stafiej. "A FIELD THEORETICAL APPROACH TO THE DEBYE-HUCKEL ELECTROLYTE DIFFERENTIAL CAPACITANCE IN A SLAB." Condensed Matter Physics 4, no. 4 (2001): 715. http://dx.doi.org/10.5488/cmp.4.4.715.

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15

de los Rios, Miguel A., and Kevin W. Plaxco. "Apparent Debye−Huckel Electrostatic Effects in the Folding of a Simple, Single Domain Protein†." Biochemistry 44, no. 4 (February 2005): 1243–50. http://dx.doi.org/10.1021/bi048444l.

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16

Varshni, Y. P. "Wave functions for the hydrogen atom in a dense plasma." Canadian Journal of Physics 81, no. 11 (November 1, 2003): 1243–48. http://dx.doi.org/10.1139/p03-098.

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A hydrogen atom in a high-density plasma is simulated by a model in which the hydrogen atom is confined in an impenetrable spherical box, with the atom at the centre. For the protonelectron interaction the DebyeHuckel potential is used. Variational wave functions are proposed for the 1s and 2p states. Energies calculated from these for different values of the radius of box (r0) are shown to be in good agreement with the exact values. The variational wave functions are further employed to calculate the absorption oscillator strength for the 1s [Formula: see text] 2p transition and the dipole polarizability for different values of r0. PACS Nos.: 03.65.Ge, 32.70.Os, 31.70.Dk, 52.20.j

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17

Tardu, Sedat. "Interfacial Electrokinetic Effect on the Microchannel Flow Linear Stability." Journal of Fluids Engineering 126, no. 1 (January 1, 2004): 10–13. http://dx.doi.org/10.1115/1.1637927.

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The electrostatic double layer (EDL) effect on the linear hydrodynamic stability of microchannel flows is investigated. It is shown that the EDL destabilizes the Poiseuille flow considerably. The critical Reynolds number decreases by a factor five when the non-dimensional Debye-Huckel parameter κ is around ten. Thus, the transition may be quite rapid for microchannels of a couple of microns heights in particular when the liquid contains a very small number of ions. The EDL effect disappears quickly for κ⩾150 corresponding typically to channels of heights 400 μm or larger. These results may explain why significantly low critical Reynolds numbers have been encountered in some experiments dealing with microchannel flows.

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18

Leyendekkers, JV. "Application of a Chemical Thermodynamic Model to the Gibbs Free Energy of Aqueous Electrolyte Solutions. New Equations for the Activity and Osmotic Coefficients." Australian Journal of Chemistry 44, no. 9 (1991): 1195. http://dx.doi.org/10.1071/ch9911195.

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The chemical thermodynamic (CT) model, based on the extended Tait equation, has been applied to the Gibbs free energy of aqueous solutions of sodium chloride and potassium chloride at 25°C. Equations for the activity and osmotic coefficients were derived. These are made up of the Debye-Huckel limiting slope term, a van der Waals co-volume effect term covering short-range repulsion, a term covering the water compression by the solute and a short-range attractive term. The distance of closest approach derived from the model is the same as that expected for the van der Waals effect. The individual components of the partial molal free energy, that is, the effects of solute concentration on the water and solute respectively, have been calculated.

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19

Horsák, Ivan, and Ivo Sláma. "A lattice model of electrolytes for the whole concentration range." Collection of Czechoslovak Chemical Communications 52, no. 7 (1987): 1672–79. http://dx.doi.org/10.1135/cccc19871672.

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Based on the quasi-lattice concept, a simple model is proposed for calculating the quantities of mixing of strong electrolyte solutions over the whole concentration range from pure solvent to pure salt. This model is analogous to the regular solution model for non-electrolyte systems. Relationships for the activity coefficients of the solvent and salt have been derived, and the behaviour of the model in the limit of infinite dilution is discussed by comparison with the Debye-Huckel theory. The adequacy of equations derived from the proposed model has been tested by fitting published experimental data for the activities of water in the systems (Li, K)NO3-H2O and (Ag, Tl)NO3-H2O, which have been measured over the whole concentration range.

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20

Majilesi,, Kavosh, Karim Zare,, and Faranak Fekri Lari,. "Comparison of the Debye-Huckel and Specific Ion Interaction Theories for the W(VI) + EDTA Complex." Reviews in Inorganic Chemistry 29, no. 3 (September 2009): 203–14. http://dx.doi.org/10.1515/revic.2009.29.3.203.

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21

KLUNK, Marcos Antônio, Andrey Alexandrovich PONOMAREV, Sudipta DASGUPTA, and Mohuli DAS. "ARSENIC SPECIATION IN GROUNDWATER USING THE SOFTWARES PHREEQC, GWB AND GEODELING." SOUTHERN BRAZILIAN JOURNAL OF CHEMISTRY 26, no. 26 (December 20, 2017): 30–35. http://dx.doi.org/10.48141/sbjchem.v25.n25.2017.35_2017.pdf.

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Geochemical modelling speciation is used to understand the interactions that occur in the groundwater. Thermodynamic data, kinetic parameters, numerical methods are factors that affect any geochemical modelling system. The conceptual formulation of geochemical modeling calculates the distribution of chemically reactive species for an aqueous solution. The mathematical formulation of the model results in a system of nonlinear algebraic equations that are solved using numerical methods. Most programs allow the user to estimate the speciation model. Activities of aqueous species are usually calculated using the Davies equation, Debye-Hückel equation, or the extended Debye-Hückel equation. We perform a comparative study of geochemical speciation using three different software: PHREEQCTM, Geochemist's WorkbenchTM (GWB) and GEODELING. Details of each software take into account the distribution, mobility, and availability of chemical species in groundwater. We can observe very similar results in speciation when working with low-temperature systems (20 to 80 °C). GWBTM, PHREEQCTM, and GEODELING employ an integrated system to define when to use Davies, Debye-Huckel or B-dot equation, according to the value of the solution ionic strength. The geochemical speciation aimed to compare the results of simulators able to predict the chemical species present in groundwater. The utilization of GEODELING allows comparing the results with software GWBTM and PHREEQCTM with a high degree of acceptance for low temperatures. The numerical methods used by GWBTM, PHREEQCTM, and GEODELING software are able to seek its own best set of numerical solutions to achieve the equilibrium. Users must be cautious when choosing geochemical modeling software, as an essential factor for choosing a simulator is to know the temperature range that will be used.

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22

Rezaie Dereshgi, A., and F. Mohammad-Rafiee. "Investigation of electrostatic potential of a helical biomolecule in the Debye-Huckel regime by considering the dielectric inhomogeneity." Iranian Journal of Physics Research 18, no. 3 (December 1, 2018): 467–75. http://dx.doi.org/10.29252/ijpr.18.3.467.

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23

Foroutan, Masumeh, and Mona Zarrabi. "Activities of water, polymer and salt in liquid–liquid equilibria of polyvinylpyrrolidone and (NH4)2HPO4/(NH4)H2PO4 buffer using the Flory–Huggins model with Debye–Huckel and Pitzer–Debye–Huckel equations and the Osmotic virial model: Effects of pH and temperature." Fluid Phase Equilibria 266, no. 1-2 (April 2008): 164–71. http://dx.doi.org/10.1016/j.fluid.2008.01.025.

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24

Ganji, Davood D., Mofid Gorji-Bandpy, and Mehdi Mostofi. "Study of Electroosmotic Flow in a Nanotube with Power Law Fluid." Applied Mechanics and Materials 110-116 (October 2011): 3633–38. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.3633.

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In this paper, electroosmotic phenomena in power law fluids are investigated. This assumption is applicable in many cases such as blood. Flow channels assumed to be in nanoscale. Navier-Stokes, Poisson-Boltzmann and electrochemical equilibrium equations govern these phenomena. It is notable that, these governing equations should be modified according to fluid complexity. Electroosmotic phenomena occur in the presence of electric double layer (EDL). Potential in the edge of the inner layer (stern layer) is called zeta potential. In this paper, according to follow the applicability of the subject, zeta potential is assumed to be so small, that makes the Poisson-Boltzmann equation linear and be able to solve analytically. Method employed for analytical solution is based on developed Bessel differential equation. This paper aims to investigate the fluid properties, zeta potential and Debye-Huckel parameter effect on the viscosity, electroosmotic mobility and velocity field in the nanotube. These expected achievements help us to study the properties of blood and some other non-Newtonian fluids more precisely.

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25

Munawar, Sufian, and Najma Saleem. "Entropy generation in thermally radiated hybrid nanofluid through an electroosmotic pump with ohmic heating: Case of synthetic cilia regulated stream." Science Progress 104, no. 3 (July 2021): 003685042110259. http://dx.doi.org/10.1177/00368504211025921.

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Synthetic cilia-regulated transports through micro and nanofluidic devices guarantee an efficient delivery of drugs and other biological substances. Entropy analysis of cilia stimulated transport of thermally radiated hybrid nanofluid through an electroosmotic pump is conducted in this study. Joint effects of applied Lorentz force and Ohmic heating on the intended stream are also studied. Metachronal arrangements of cilia field coating channel inner side, are liable to generate current in the fluid. After using the lubrication and the Debye-Huckel estimations, numerical solutions of the envisioned problem are obtained. For pressure rise per metachronal wavelength, the pressure gradient is numerically integrated. The analysis reveals that high electric potential results in reducing the heat transfer effects in the flow system. The enhancement of flow is noticed near the channel surface for higher electroosmotic parameters. The irreversibility in the channel decreases when the Helmholtz-Smoluchowski velocity is applied in the opposite direction of the flow and thus produces the fluid friction irreversibility.

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26

Du, Kai, Weiyu Liu, Yukun Ren, Tianyi Jiang, Jingni Song, Qian Wu, and Ye Tao. "A High-Throughput Electrokinetic Micromixer via AC Field-Effect Nonlinear Electroosmosis Control in 3D Electrode Configurations." Micromachines 9, no. 9 (August 26, 2018): 432. http://dx.doi.org/10.3390/mi9090432.

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In this study, we make use of the AC field-effect flow control on induced-charge electroosmosis (ICEO), to develop an electrokinetic micromixer with 3D electrode layouts, greatly enhancing the device performance compared to its 2D counterpart of coplanar metal strips. A biased AC voltage wave applied to the central gate terminal, i.e., AC field-effect control, endows flow field-effect-transistor of ICEO the capability to produce arbitrary symmetry breaking in the transverse electrokinetic vortex flow pattern, which makes it fascinating for microfluidic mixing. Using the Debye-Huckel approximation, a mathematical model is established to test the feasibility of the new device design in stirring nanoparticle samples carried by co-flowing laminar streams. The effect of various experimental parameters on constructing a viable micromixer is investigated, and an integrated microdevice with a series of gate electrode bars disposed along the centerline of the channel bottom surface is proposed for realizing high-flux mixing. Our physical demonstration on field-effect nonlinear electroosmosis control in 3D electrode configurations provides useful guidelines for electroconvective manipulation of nanoscale objects in modern microfluidic systems.

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27

Prieto, Manuel, Andrew Putnis, and Lurdes Fernandez-Diaz. "Factors controlling the kinetics of crystallization: supersaturation evolution in a porous medium. Application to barite crystallization." Geological Magazine 127, no. 6 (November 1990): 485–95. http://dx.doi.org/10.1017/s0016756800015417.

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AbstractThe nucleation of barite has been studied in a system involving the doublediffusion of Ba2+and SO42-in an Na-rich aqueoussolution, through a porous medium. The evolution of the concentration profiles in the medium, which is a column of porous silica gel, has been determined as a function of time by direct chemical analysis of the diffusion-controlled mass transfer. By measuring the pH evolution, a Debye–Huckel treatment of ionic complexing has enabled the supersaturation evolution to be determined. The location of barite precipitation in the column is controlled both by the need to exceed a threshold supersaturation, as well as achieve an ‘equality range’ in which [Ba2+]/[SO42−] is close to unity. The value of the threshold supersaturation is a kinetic parameter and depends on the rate at which supersaturation increases. The experimental system described here has wide application to the study of crystallization phenomena in rocks. Experiments on the effect of additives designed to inhibit nucleation of barite in North Sea oil wells are used to quantify the resultant increase in supersaturation threshold.

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28

Harrison, S. M., and D. M. Bers. "Correction of proton and Ca association constants of EGTA for temperature and ionic strength." American Journal of Physiology-Cell Physiology 256, no. 6 (June 1, 1989): C1250—C1256. http://dx.doi.org/10.1152/ajpcell.1989.256.6.c1250.

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The association constants of ethylene glycol-bis(beta-aminoethyl ether)-N,N,N',N'-tetraacetic acid (EGTA) for protons and Ca can be used to calculate the apparent association constant of EGTA for Ca (K'CaEGTA). This value is often used in calculating the free [Ca2+] of complex solutions such as those used to determine the Ca sensitivity of skinned muscle fibers. As association constants are usually measured at 0.1 M ionic strength and between 20 and 25 degrees C, these constants must first be adjusted for conditions different from those at which they were measured, before calculation of K'CaEGTA. The proton and Ca association constants (and their delta H values) from A. E. Martell and R. M. Smith (Critical Stability Constants, New York: Plenum, vol. 1, 1974) adjusted for ionic strength and temperature using a semiempirical Debye-Huckel formalism and Van't Hoff isochore, respectively, closely describe the influence of both ionic strength and temperature on K'CaEGTA. Errors in the adjustment or calculation of association constants can dramatically affect the calculated value of K'CaEGTA and hence the calculated free [Ca2+] of complex solutions, such as those used to mimic the intracellular environment.

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29

Majlesi, Kavosh, Karim Zare, Saghar Rezaienejad, and Fatemeh Nemati. "Comparison of the application of Debye-Huckel and specific ion interaction theories for the complexation of tungsten(VI) with ethylenediaminediacetic acid." Russian Journal of Inorganic Chemistry 54, no. 5 (May 2009): 803–7. http://dx.doi.org/10.1134/s0036023609050209.

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30

Liu, Weiyu, Qisheng Wu, Yukun Ren, Peng Cui, Bobin Yao, Yanbo Li, Meng Hui, Tianyi Jiang, and Lin Bai. "On the Bipolar DC Flow Field-Effect-Transistor for Multifunctional Sample Handing in Microfluidics: A Theoretical Analysis under the Debye–Huckel Limit." Micromachines 9, no. 2 (February 16, 2018): 82. http://dx.doi.org/10.3390/mi9020082.

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31

Majlesi,, Kavosh. "Complexation of Dioxovanadium(V) with Phenylalanine And Isoleucine at Different Ionic Strengths and Temperatures Using Debye-Huckel and Specific Ion Interaction Thoeries." Reviews in Inorganic Chemistry 29, no. 1 (March 2009): 1–20. http://dx.doi.org/10.1515/revic.2009.29.1.1.

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32

Hirayama, Hirohumi. "Distributions of electrostatic potentials and forces in a DNA molecule by a concentric cylindrical model. II. Effects of the Debye-Huckel parameter." Artificial Life and Robotics 6, no. 1-2 (March 2002): 11–22. http://dx.doi.org/10.1007/bf02481205.

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33

Chandra, Amalendu, Ranjit Biswas, and Biman Bagchi. "Molecular Origin of the Debye−Huckel−Onsager Limiting Law of Ion Conductance and Its Extension to High Concentrations: Mode Coupling Theory Approach to Electrolyte Friction." Journal of the American Chemical Society 121, no. 16 (April 1999): 4082–83. http://dx.doi.org/10.1021/ja983581p.

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34

Avaji, Sina, Mohammad Javad Amani, and Mojtaba Ghaedi. "Modeling the equilibrium of two and three-phase systems including water, alcohol, and hydrocarbons with CPA EOS and its improvement for electrolytic systems by Debye-Huckel equation." Journal of Natural Gas Science and Engineering 90 (June 2021): 103905. http://dx.doi.org/10.1016/j.jngse.2021.103905.

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35

Mezzasalma, Stefano A. "Debye-Huckel constant and average particle size of a colloidal dispersion of solid aggregates. Evaluation of κ〈r〉 to characterize repulsive DLVO-based interactions. Application to the Si3N4/H2O (1) system." Chemical Physics Letters 274, no. 1-3 (August 1997): 213–16. http://dx.doi.org/10.1016/s0009-2614(97)00677-5.

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36

Foroutan, Masumeh, and Marmar Haghighi Khomami. "Activities of polymer, salt and water in liquid–liquid equilibria of polyvinylpyrrolidone and K2HPO4/KH2PO4 buffer using the Flory–Huggins model with Debye–Huckel equation and the osmotic virial model: Effects of pH and temperature." Fluid Phase Equilibria 265, no. 1-2 (March 2008): 17–24. http://dx.doi.org/10.1016/j.fluid.2007.12.004.

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37

Sadeghi, Arman, Moslem Fattahi, and Mohammad Hassan Saidi. "An Approximate Analytical Solution for Electro-Osmotic Flow of Power-Law Fluids in a Planar Microchannel." Journal of Heat Transfer 133, no. 9 (July 7, 2011). http://dx.doi.org/10.1115/1.4003968.

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The present investigation considers the fully developed electro-osmotic flow of power-law fluids in a planar microchannel subject to constant wall heat fluxes. Using an approximate velocity distribution, closed form expressions are obtained for the transverse distribution of temperature and Nusselt number. The approximate solution is found to be quite accurate, especially for the values of higher than ten for the dimensionless Debye-Huckel parameter where the exact values of Nusselt number are predicted. The results demonstrate that a higher value of the dimensionless Debye-Huckel parameter is accompanied by a higher Nusselt number for wall cooling, whereas the opposite is true for wall heating case. Although to increase the dimensionless Joule heating term is to decrease Nusselt number for both pseudoplastic and dilatant fluids, nevertheless its effect on Nusselt number is more pronounced for dilatants. Furthermore, to increase the flow behavior index is to decrease the Nusselt number for wall cooling, whereas the contrary is right for the wall heating case. Depending on the value of flow parameters, a singularity is observed in the Nusselt number values of the wall heating case.

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38

"Peristaltically Induced Electroosmotic Flow of Jeffrey Fluid with Zeta Potential and Navier-Slip at the Wall." VOLUME-8 ISSUE-10, AUGUST 2019, REGULAR ISSUE 8, no. 10 (August 10, 2019): 1324–29. http://dx.doi.org/10.35940/ijitee.i8254.0881019.

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This paper concern with the electro-osmotically modulated peristaltic of Jeffrey fluid with zeta potential and Navier-slip boundary condition at the channel wall. The Poisson-Boltzmann equation for electrical potential distribution is assumed to accommodate the electrical double layer. Poisson-Boltzmann equations are simplified by using Debye-Huckel linearization approximation. The closed form analytical solutions are calculated by using low Reynolds number and long wavelength assumptions. Influence of various parameters like electro-osmotic, Jeffrey fluid parameter, Slip parameter and Zeta potential on the flow are discussed through the nature of graphs

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39

Simlandi, Sudip, and Avisankha Dutta. "An analytical study on electroosmotic flow within a microchannel disregarding the Debye–Huckel approximation." Materials Today: Proceedings, September 2021. http://dx.doi.org/10.1016/j.matpr.2021.08.314.

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40

Shaheen, S., O. Anwar Bég, F. Gul, and K. Maqbool. "Electro-Osmotic Propulsion of Jeffrey Fluid in a Ciliated Channel Under the Effect of Nonlinear Radiation and Heat Source/Sink." Journal of Biomechanical Engineering 143, no. 5 (March 4, 2021). http://dx.doi.org/10.1115/1.4049810.

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AbstractMathematical modeling of mechanical system in microfluidics is an emerging area of interest in microscale engineering. Since microfluidic devices use the hair-like structure of artificial cilia for pumping, mixing, and sensing in different fields, electro-osmotic cilia-driven flow helps to generate the fluid velocity for the Newtonian and viscoelastic fluid. Due to the deployment of artificial ciliated walls, the present research reports the combined effect of an electro-osmotic flow and convective heat transfer on Jeffrey viscoelastic electrolytic fluid flow in a two-dimensional ciliated vertical channel. Heat generation/absorption and nonlinear radiation effects are included in the present mathematical model. After applying Debye–Huckel approximation and small Reynolds number approximation to momentum and energy equation, the system of nonlinear partial differential equation is reduced into nonhomogenous boundary value problem. The problem determines the velocity, pressure, and temperature profiles by the application of semi-analytical technique known as homotopy perturbation method (HPM) with the help of software Mathematica. The graphical results of the study suggest that HPM is a reliable methodology for thermo physical electro-osmotic rheological transport in microchannels.

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"Phase Behaviors of Solid Polymer Electrolytes/Salt System in Lithium Secondary Battery by Group-Contribution Method: Applicability of the Extended Debye-Huckel Theory." ECS Meeting Abstracts, 2005. http://dx.doi.org/10.1149/ma2005-01/33/1289.

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Ratner, Mark A., Stephen D. Druger, and A. Nitzan. "Polymeric Electrolytes and Polyelectrolytes: Salt Concentration and Domain Effects on Conductivity." MRS Proceedings 135 (1988). http://dx.doi.org/10.1557/proc-135-13.

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AbstractSolvent-free polymer electrolytes and polyelectrolytes are usually studied at quite high ionic concentrations, (into the range above 1M). Under these conditions, correlation effects arising from ion-polymer and ion-ion interactions are expected to be important in the mechanism of conductivity. We sketch some specific ionic effects, separating those actittg on the mobility from those effecting carrier concentration. Mobility effects include reduction of the fluidity due to the effective cross-linking by cations, screening of applied fields due to high ionic concentrations, frictional drag due to counterion motion, and in some polymer hosts, lowered local availability of cation solvation sites due to reduction of the number of coordinating basic oxygens. Reduction of the carrier density from its stoichipmetric value can be discussed in terms of a generalized ion-pairing model. Though the concentrations usually studied are so high that Debye-Huckel theory is invalid and the stoichiometric average cation-anion separation is smaller than the Bjerrum length (a situation in which ordinary electrolyte theory considers all ions paired), nevertheless consideration in terms of contact ion pairs, solvent separated ion pairs and mean stoichiometric separation can be used to compute the effective concentration of carriers. Estimates based on an electrostatic continuum, cavity model for the binding energy of a pair describe the reduction of effective carrier number observed in poly (propylene oxide) materials.

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Askari, Omid. "Thermodynamic Properties of Pure and Mixed Thermal Plasmas Over a Wide Range of Temperature and Pressure." Journal of Energy Resources Technology 140, no. 3 (September 28, 2017). http://dx.doi.org/10.1115/1.4037688.

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Chemical composition and thermodynamics properties of different thermal plasmas are calculated in a wide range of temperatures (300–100,000 K) and pressures (10−6–100 atm). The calculation is performed in dissociation and ionization temperature ranges using statistical thermodynamic modeling. The thermodynamic properties considered in this study are enthalpy, entropy, Gibbs free energy, specific heat at constant pressure, specific heat ratio, speed of sound, mean molar mass, and degree of ionization. The calculations have been done for seven pure plasmas such as hydrogen, helium, carbon, nitrogen, oxygen, neon, and argon. In this study, the Debye–Huckel cutoff criterion in conjunction with the Griem’s self-consistent model is applied for terminating the electronic partition function series and to calculate the reduction of the ionization potential. The Rydberg and Ritz extrapolation laws have been used for energy levels which are not observed in tabulated data. Two different methods called complete chemical equilibrium and progressive methods are presented to find the composition of available species. The calculated pure plasma properties are then presented as functions of temperature and pressure, in terms of a new set of thermodynamically self-consistent correlations for efficient use in computational fluid dynamic (CFD) simulations. The results have been shown excellent agreement with literature. The results from pure plasmas as a reliable reference source in conjunction with an alternative method are then used to calculate the thermodynamic properties of any arbitrary plasma mixtures (mixed plasmas) having elemental atoms of H, He, C, N, O, Ne, and Ar in their chemical structure.

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Omidvar Langroudi, L., and H. Pahlavanzadeh. "Statistical Investigation of Air Dehumidification Performance by Aqueous Lithium Bromide Desiccant in a Packed Column: A Thermodynamic Approach." Journal of Thermal Science and Engineering Applications 7, no. 4 (August 4, 2015). http://dx.doi.org/10.1115/1.4031082.

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Lithium bromide solution is used as a desiccant in air dehumidification systems. Liquid desiccant is a solution that facilitates the removal of humidity directly from the air. In this work, effectiveness of a LiBr based air dehumidifier was studied by correlating the vapor–liquid equilibrium data with a proposed thermodynamic model. For this, the nonelectrolyte Wilson nonrandom factor (N-Wilson-NRF) model and the Pitzer–Debye–Huckel formula were used to represent the contribution of the short and the long range ion–ion interactions. In particular, the proposed model assumed that the electrolyte solution is treated as a mixture of undissociated ion pairs and solvent molecules. The proposed equation of this study is valid for the temperature range of 20–35 °C and concentration range of 0.40–0.60 kg/kg. This relation was employed to estimate the equivalent humidity ratio, and then, the humidity ratio from the previous step was used to calculate the effectiveness of a LiBr based dehumidifier. The response surface methodology (RSM) was applied for the design and analysis of the dehumidification experiments. A quadratic model was implemented to predict the dehumidification effectiveness. This model studies the implications of four primary variables on the effectiveness of a dehumidification process. The optimal values to achieve the maximum effectiveness were found to be 32.5 °C for the air temperature, 0.0210 kg/kg for the air humidity ratio, 2.17 for the mass flow rate ratio, and finally, 0.50 kg/kg for the desiccant concentration. These values gave the dehumidification effectiveness of 0.544. The result of the model was in good agreement with the experimental value 0.542, thus verifying the accuracy of the proposed model.

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Riad, Adham, Behnam Khorshidi, and Mohtada Sadrzadeh. "Analysis of streaming potential flow and electroviscous effect in a shear-driven charged slit microchannel." Scientific Reports 10, no. 1 (October 27, 2020). http://dx.doi.org/10.1038/s41598-020-75531-6.

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Abstract Investigating the flow behavior in microfluidic systems has become of interest due to the need for precise control of the mass and momentum transport in microfluidic devices. In multilayered-flows, precise control of the flow behavior requires a more thorough understanding as it depends on multiple parameters. The following paper proposes a microfluidic system consisting of an aqueous solution between a moving plate and a stationary wall, where the moving plate mimics a charged oil–water interface. Analytical expressions are derived by solving the nonlinear Poisson–Boltzmann equation along with the simplified Navier–Stokes equation to describe the electrokinetic effects on the shear-driven flow of the aqueous electrolyte solution. The Debye–Huckel approximation is not employed in the derivation extending its compatibility to high interfacial zeta potential. Additionally, a numerical model is developed to predict the streaming potential flow created due to the shear-driven motion of the charged upper wall along with its associated electric double layer effect. The model utilizes the extended Nernst–Planck equations instead of the linearized Poisson–Boltzmann equation to accurately predict the axial variation in ion concentration along the microchannel. Results show that the interfacial zeta potential of the moving interface greatly impacts the velocity profile of the flow and can reverse its overall direction. The numerical results are validated by the analytical expressions, where both models predicted that flow could reverse its overall direction when the interfacial zeta potential of the oil–water is above a certain threshold value. Finally, this paper describes the electroviscous effect as well as the transient development of electrokinetic effects within the microchannel.

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Advocat, T., J. L. Crovisier, A. Clement, F. Gerard, and E. Vernaz. "Modeling of Solution Renewal with the Kindis Code: Example of R7T7 Glass Dissolution at 90°C." MRS Proceedings 353 (1994). http://dx.doi.org/10.1557/proc-353-31.

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AbstractThe deep underground environment that would correspond to a geological repository is a system open to fluid flow. It is therefore necessary to investigate the effects of solution renewal on the long-term behavior of glass in contact with water. These effects can now be simulated using the new version of the geochemical Kindis model (thermodynamic and kinetic model).We tested the model at 90°C with an SAIV ratio of 400 m−1 at twelve renewal rates of pure water ranging from 200 to 0 vol% per day. With renewal rates between 200 and 0.065 vol% per day, steady-state conditions were obtained in the reaction system: i.e. the glass corrosion rate remained constant as did the concentrations of the dissolved species in solution (although at different values depending on the renewal rate). The ionic strength never exceeded 1 (the validity limit for the Debye-Huckel law) and long term predictions of the dissolved glass mass, the solution composition and the potential secondary mineral sequence are possible. For simulated renewal rates of less than 0.065 vol% per day (27 vol% per year), the ionic strength rose above 1 (as in a closed system) before steady-state conditions were reached, making it critical to calculate long-term rates; A constant and empirical long-term rate, derived from laboratory measurement, have to be extrapolated. These calculations were based on a first order equation to describe the glass dissolution kinetics. The results obtained with the KINDIS code show discrepancies with some major experimental kinetic data (the long term rate must decrease with the « glass-water » reaction progress, under silica saturation conditions). This clearly indicates that a more refine kinetic relation is needed for the glass matrix.

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