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1

Sarrakh, Redouane, Suresh Renukappa, Subashini Suresh, and Saeed Al Nabt. "Smart Solutions in the Oil and Gas Industry: A Review." Journal of Clean Energy Technologies 7, no. 5 (2019): 72–76. http://dx.doi.org/10.18178/jocet.2019.7.5.512.

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2

Aregbe, Azeez G. "Natural Gas Flaring—Alternative Solutions." World Journal of Engineering and Technology 05, no. 01 (2017): 139–53. http://dx.doi.org/10.4236/wjet.2017.51012.

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3

Li, Jiequan, and Gerald Warnecke. "On measure solutions to the Zero-pressure gas model and their uniqueness." Mathematica Bohemica 127, no. 2 (2002): 265–73. http://dx.doi.org/10.21136/mb.2002.134173.

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4

Zhang, Xiao Tao, Ji Yuan Yang, and Jin Xuan Xie. "A Study on Elliptical Gas Flow in Double Porosity Gas Reservoirs." Applied Mechanics and Materials 275-277 (January 2013): 576–83. http://dx.doi.org/10.4028/www.scientific.net/amm.275-277.576.

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Elliptical flow exists in the near vertical fracture area, or in anisotropic reservoirs, and the classical radial flow models cannot provide complete analysis for elliptical flow. This paper presents a mathematic model for gas elliptical flow in double porosity gas reservoirs. The differential equation of gas flow is written in Mathieu equation, so that the solution can be expressed also by Mathieu functions. The numerical calculation of relevant Mathieu functions , and its derivative is done to obtain the dimensionless pseudo pressure drop in Laplace space. Property sensitivities of double po
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5

MEDEIROS, L. G. "COSMOLOGICAL ANALYTIC SOLUTIONS WITH REDUCED RELATIVISTIC GAS." Modern Physics Letters A 27, no. 33 (2012): 1250194. http://dx.doi.org/10.1142/s0217732312501945.

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In this paper one examines analytical solutions for flat and non-flat universes composed by four components namely hot matter (ultra-relativistic), warm matter (WM) (relativistic), cold matter (CM) (non-relativistic) and cosmological constant. The WM is treated as a reduced relativistic gas (RRG) and the other three components are treated in the usual way. The solutions achieved contains one, two or three components of which one component is of WM type. A solution involving all the four components was not found.
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6

Ericson, Sean, Jeffrey Logan, Daniel Kaffine, and Tim Coburn. "Challenges and Solutions to Managing the Electricity‐Gas Interface." Natural Gas & Electricity 36, no. 4 (2019): 1–16. http://dx.doi.org/10.1002/gas.22143.

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7

Maksakova, Darya. "Gas transportation system development in Mongolia under gas prices uncertainty." E3S Web of Conferences 289 (2021): 04006. http://dx.doi.org/10.1051/e3sconf/202128904006.

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The paper analyses the stability of a solution to a problem of gas transportation system development in terms of gas import prices. The object of the study is a future gas transportation system in Mongolia. The employed tools are based on an original optimization problem, which is aimed to support decision-making process when choosing capacity, location, and time for investments in gas infrastructure. Different scenarios of gas import prices are considered for Mongolia. A stable solution is defined as the solution that is included in the optimal plans for every scenario. A multi-criteria appro
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8

Smead, Richard G. "Few Workable Solutions for High Winter Spot Prices in Northeast." Natural Gas & Electricity 35, no. 5 (2018): 28–32. http://dx.doi.org/10.1002/gas.22095.

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9

Magie, Andrew. "Solutions to Increasing Energy Security of High‐Voltage Transformer Substations." Natural Gas & Electricity 36, no. 11 (2020): 12–22. http://dx.doi.org/10.1002/gas.22174.

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10

Łaciak, Mariusz, and Tomasz Włodek. "Innovative solutions in natural gas engineering." AGH Drilling, Oil, Gas 34, no. 1 (2017): 259. http://dx.doi.org/10.7494/drill.2017.34.1.259.

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11

Karasevskiĭ, A. I. "Complexes in rare-gas solid solutions." Low Temperature Physics 31, no. 12 (2005): 1003–6. http://dx.doi.org/10.1063/1.2144449.

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12

Kurchatov, I. M., A. A. Tishin, M. D. Karaseva, and V. N. Gurkin. "Hybrid solutions of compressed gas drying." Journal of Physics: Conference Series 1099 (September 2018): 012033. http://dx.doi.org/10.1088/1742-6596/1099/1/012033.

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13

Brown, James, Chiew Yen Law, Katherine Fielden, Ceri-Sian Dee, and Neil Pollock. "Small-scale technology solutions to eliminate flaring." APPEA Journal 56, no. 2 (2016): 612. http://dx.doi.org/10.1071/aj15118.

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Five percent of the world’s gas supply is wasted by being flared or vented into the atmosphere, leading to a huge loss of potential revenue, not to mention a significant impact on the environment. This is equivalent to 150 billion cubic metres of natural gas per year and the release of 400 million metric tons of CO2 equivalent. The industry does this for a variety of valid reasons, including well testing, emergencies, commissioning, maintenance, or simply because an economic solution for capturing and using the gas has not been discovered. Capture of flared gas, therefore, presents an economic
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14

Gugat, Martin, and David Wintergerst. "Transient Flow in Gas Networks: Traveling waves." International Journal of Applied Mathematics and Computer Science 28, no. 2 (2018): 341–48. http://dx.doi.org/10.2478/amcs-2018-0025.

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Abstract In the context of gas transportation, analytical solutions are helpful for the understanding of the underlying dynamics governed by a system of partial differential equations. We derive traveling wave solutions for the one-dimensional isothermal Euler equations, where an affine linear compressibility factor is used to describe the correlation between density and pressure. We show that, for this compressibility factor model, traveling wave solutions blow up in finite time. We then extend our analysis to networks under appropriate coupling conditions and derive compatibility conditions
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15

OTA, Masahiro, Yingxia QI, Kazuhiko MURAKAMI, and Mohhamad FERDOWS. "F103 EFFECTS OF ADDITIVE SOLUTIONS ON GAS HYDRATE FORMATION(Energy Storage and Load Leveling)." Proceedings of the International Conference on Power Engineering (ICOPE) 2009.1 (2009): _1–305_—_1–310_. http://dx.doi.org/10.1299/jsmeicope.2009.1._1-305_.

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16

Fijuljanin, Jasmina. "Two genetic algorithms for the bandwidth multicoloring problem." Yugoslav Journal of Operations Research 22, no. 2 (2012): 225–46. http://dx.doi.org/10.2298/yjor100927020f.

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In this paper the Bandwidth Multicoloring Problem (BMCP) and the Bandwidth Coloring Problem (BCP) are considered. The problems are solved by two genetic algorithms (GAs) which use the integer encoding and standard genetic operators adapted to the problems. In both proposed implementations, all individuals are feasible by default, so search is directed into the promising regions. The first proposed method named GA1 is a constructive metaheuristic that construct solution, while the second named GA2 is an improving metaheuristic used to improve an existing solution. Genetic algorithms are tested
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17

Zhao, Yubin, Yoshinori Yamaguchi, Chenchen Liu, Shinichi Sekine, and Xiaoming Dou. "Quantitative Detection of Ethanol/Acetone in Complex Solutions Using Raman Spectroscopy Based on Headspace Gas Analysis." Applied Spectroscopy 72, no. 2 (2017): 280–87. http://dx.doi.org/10.1177/0003702817738010.

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This paper demonstrated the quantitative detection of ethanol and acetone mixtures in complex solutions with Raman spectroscopy based on headspace gas analysis. By analyzing the volatile components in the headspace, their concentrations in liquid solutions were determined. We constructed our own Raman spectroscopy system to detect the headspace gas quantitatively over a solution in a sealed vial. The Raman spectra of the headspace gases over standard solutions were standardized for finding the concentrations of ethanol, acetone, and ethanol–acetone in mixture solutions. The results showed that
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18

Campos, L. M. B. C. "On the gravitational field of a radiating, isothermal perfect gas cloud." International Journal of Modern Physics B 30, no. 12 (2016): 1650038. http://dx.doi.org/10.1142/s0217979216500387.

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The paper considers a static isotropic self-gravitating perfect gas in the presence of thermal radiation. The gravitational field is specified in terms of the radiation and gas pressures. Assuming that the thermodynamic internal energy is small compared with relativistic rest energy, it is shown that the gas pressure satisfies the Lane–Emden equation; the assumption of dominant intrinsic relativistic rest energy is satisfied by the hottest stars. Six-solutions of the Lane–Enden equation are obtained together with the corresponding gravitational fields. The basis for comparison is the singular
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19

Cripps, Andrew. "Comparing solutions to soil gas flow problems with experiment and another solution." Building and Environment 34, no. 6 (1999): 735–40. http://dx.doi.org/10.1016/s0360-1323(98)00055-9.

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20

Medvedeva, O. N., A. S. Polyakov, and A. V. Kochetkov. "Technical Solutions to Reduce Natural-Gas Pressure at Gas-Distribution Stations." Chemical and Petroleum Engineering 53, no. 7-8 (2017): 469–73. http://dx.doi.org/10.1007/s10556-017-0365-z.

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21

Wang, Jinhuan, Yicheng Pang, and Yu Zhang. "Limits of Solutions to the Isentropic Euler Equations for van der Waals Gas." International Journal of Nonlinear Sciences and Numerical Simulation 20, no. 3-4 (2019): 461–73. http://dx.doi.org/10.1515/ijnsns-2018-0263.

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AbstractIn this paper, we consider limit behaviors of Riemann solutions to the isentropic Euler equations for a non-ideal gas (i.e. van der Waals gas) as the pressure vanishes. Firstly, the Riemann problem of the isentropic Euler equations for van der Waals gas is solved. Then it is proved that, as the pressure vanishes, any Riemann solution containing two shock waves to the isentropic Euler equation for van der Waals gas converges to the delta shock solution to the transport equations and any Riemann solution containing two rarefaction waves tends to the vacuum state solution to the transport
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22

Cheng, Hongjun, and Hanchun Yang. "On a Nonsymmetric Keyfitz-Kranzer System of Conservation Laws with Generalized and Modified Chaplygin Gas Pressure Law." Advances in Mathematical Physics 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/187217.

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This paper is devoted to the study of a nonsymmetric Keyfitz-Kranzer system of conservation laws with the generalized and modified Chaplygin gas pressure law, which may admit delta shock waves, a topic of interest. Firstly, we solve the Riemann problems with piecewise constant data having a single discontinuity. For the generalized Chaplygin gas pressure law, the solution consists of three different structures:R+J,S+J, andδ. Existence and uniqueness of delta shock solution are established under the generalized Rankine-Hugoniot relation and entropy condition. For the modified Chaplygin gas pres
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23

Li, Shaobai, Siyuan Huang, and Jungeng Fan. "Effect of Surfactants on Gas Holdup in Shear-Thinning Fluids." International Journal of Chemical Engineering 2017 (2017): 1–7. http://dx.doi.org/10.1155/2017/9062649.

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In this study, the gas holdup of bubble swarms in shear-thinning fluids was experimentally studied at superficial gas velocities ranging from 0.001 to 0.02 m·s−1. Carboxylmethyl cellulose (CMC) solutions of 0.2 wt%, 0.6 wt%, and 1.0 wt% with sodium dodecyl sulfate (SDS) as the surfactant were used as the power-law (liquid phase), and nitrogen was used as the gas phase. Effects of SDS concentration, rheological behavior, and physical properties of the liquid phase and superficial gas velocity on gas holdup were investigated. Results indicated that gas holdup increases with increasing superficia
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24

Milicev, Snezana, and Nevena Stevanovic. "Navier-Stokes-Fourier analytic solutions for non-isothermal Couette slip gas flow." Thermal Science 20, no. 6 (2016): 1825–33. http://dx.doi.org/10.2298/tsci160423221m.

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The explicit and reliable analytical solutions for steady plane compressible non-isothermal Couette gas flow are presented. These solutions for velocity and temperature are developed by macroscopic approach from Navier-Stokes-Fourier system of continuum equations and the velocity slip and the temperature jump first order boundary conditions. Variability of the viscosity and thermal conductivity with temperature is involved in the model. The known result for the gas flow with constant and equal temperatures of the walls (isothermal walls) is verified and a new solution for the case of different
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25

Drozdov, Alexander N., Yana A. Gorbyleva, Evgenia I. Gorelkina, and Nikolay A. Drozdov. "Increasing efficiency of work of a liquid-gas ejector." RUDN Journal of Engineering Researches 20, no. 3 (2019): 254–60. http://dx.doi.org/10.22363/2312-8143-2019-20-3-254-260.

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The proposed solution relates to fluidics and can be used, for example, in the extraction of oil and gas, the collection and preparation of oil, gas and water, the extraction of methane from methane beds, oil refining. The technical result is to increase the efficiency of a liquid-gas ejector by ensuring its work in the field of rational concentrations and salt composition, in which the intensification of energy exchange between the working fluid and the ejected gas is achieved. The essence of the proposed solution: the method of operation of a liquid-gas ejector involves injecting a working f
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26

Kwak, Ho‐Young, and Jung‐Hee Na. "Hydrodynamic solutions for a sonoluminescing gas bubble." Journal of the Acoustical Society of America 100, no. 4 (1996): 2679. http://dx.doi.org/10.1121/1.416957.

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27

Radecka, Marta, Katarzyna Zakrzewska, and Mieczysław Rękas. "SnO2–TiO2 solid solutions for gas sensors." Sensors and Actuators B: Chemical 47, no. 1-3 (1998): 194–204. http://dx.doi.org/10.1016/s0925-4005(98)00023-9.

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28

Arora, Rajan. "ASYMPTOTICAL SOLUTIONS FOR A VIBRATIONALLY RELAXING GAS." Mathematical Modelling and Analysis 14, no. 4 (2009): 423–34. http://dx.doi.org/10.3846/1392-6292.2009.14.423-434.

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Using the weakly non‐linear geometrical acoustics theory, we obtain the small amplitude high frequency asymptotic solution to the basic equations governing one dimensional unsteady planar, spherically and cylindrically symmetric flow in a vibrationally relaxing gas with Van der Waals equation of state. The transport equations for the amplitudes of resonantly interacting waves are derived. The evolutionary behavior of non‐resonant wave modes culminating into shock waves is also studied.
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29

Kwak, Ho-Young, and Jung Hee Na. "Hydrodynamic Solutions for a Sonoluminescing Gas Bubble." Physical Review Letters 77, no. 21 (1996): 4454–57. http://dx.doi.org/10.1103/physrevlett.77.4454.

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30

Elmardi, Maye, Amare Abebe, and Abiy Tekola. "Chaplygin-gas solutions of f(R) gravity." International Journal of Geometric Methods in Modern Physics 13, no. 10 (2016): 1650120. http://dx.doi.org/10.1142/s0219887816501206.

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We explore exact [Formula: see text] gravity solutions that mimic Chaplygin-gas inspired [Formula: see text]CDM cosmology. Starting with the original, generalized and modified Chaplygin-gas (MCG) equations of state (EoS), we reconstruct the forms of [Formula: see text] Lagrangians. The resulting solutions are generally quadratic in the Ricci scalar, but have appropriate [Formula: see text]CDM solutions in limiting cases. These solutions, given appropriate initial conditions, can be potential candidates for scalar field-driven early universe expansion (inflation) and dark energy-driven late-tim
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31

Marion, Giles M., David C. Catling, and Jeffrey S. Kargel. "Modeling gas hydrate equilibria in electrolyte solutions." Calphad 30, no. 3 (2006): 248–59. http://dx.doi.org/10.1016/j.calphad.2006.04.002.

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32

Alekseev, A. D., A. T. Airuni, I. V. Zverev, V. V. Sinolitskii, and Yu F. Vasyuchkov. "Decomposition of gas and coal solid solutions." Journal of Mining Science 30, no. 3 (1994): 281–85. http://dx.doi.org/10.1007/bf02047235.

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33

Maharaj, S. D. "Anisotropic solutions for a self-gravitating gas." Il Nuovo Cimento B 103, no. 4 (1989): 413–20. http://dx.doi.org/10.1007/bf02874312.

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34

Driver, J., O. F. Graff, R. Eie, T. Lund, and S. Woodhouse. "NOVEL OFFSHORE LNG SOLUTIONS." APPEA Journal 47, no. 1 (2007): 271. http://dx.doi.org/10.1071/aj06018.

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The demand to process associated and stranded gas is growing and there is increasing commercial interest in offshore LNG production. Limitations in available land and carrier access, safety and environmental considerations and difficult onshore permitting have created an interest in locating LNG terminals offshore. These factors are providing incentives to develop solutions and the technologies required to transfer the liquefaction and re-gasification segments of the LNG chain to offshore locations. Some of the hurdles that need to be overcome are associated with equipment size, weight and lay
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35

Stern, Jonathan, Drummond Fielding, Claude-André Faucher-Giguère, and Eliot Quataert. "Cooling flow solutions for the circumgalactic medium." Monthly Notices of the Royal Astronomical Society 488, no. 2 (2019): 2549–72. http://dx.doi.org/10.1093/mnras/stz1859.

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ABSTRACT In several models of galaxy formation feedback occurs in cycles or mainly at high redshift. At times and in regions where feedback heating is ineffective, hot gas in the galaxy halo is expected to form a cooling flow, where the gas advects inward on a cooling timescale. Cooling flow solutions can thus be used as a benchmark for observations and simulations to constrain the timing and extent of feedback heating. Using analytic calculations and idealized 3D hydrodynamic simulations, we show that for a given halo mass and cooling function, steady-state cooling flows form a single-paramet
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36

Sousa, Emilio P., Abelardo B. Barreto, and Alvaro M. Peres. "Finite-Wellbore-Radius Solution for Gas Wells by Green's Functions." SPE Journal 20, no. 04 (2015): 842–55. http://dx.doi.org/10.2118/169323-pa.

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Summary Even when written in terms of a pseudopressure function, the diffusivity equation for flow of gases through porous media is, rigorously speaking, nonlinear because the viscosity/compressibility product is pseudopressure-dependent. However, several techniques and analysis procedures neglect such nonlinearity. A new methodology for constructing solutions for gas reservoirs through the Green's-function (GF) technique was recently proposed in the literature. Such methodology handles the viscosity/compressibility product variation rigorously, and it was successfully applied to solve several
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37

Shang, Xiaoji, J. G. Wang, and Zhizhen Zhang. "Iterative Analytical Solutions for Nonlinear Two-Phase Flow with Gas Solubility in Shale Gas Reservoirs." Geofluids 2019 (May 8, 2019): 1–15. http://dx.doi.org/10.1155/2019/4943582.

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The governing equations of a two-phase flow have a strong nonlinear term due to the interactions between gas and water such as capillary pressure, water saturation, and gas solubility. This nonlinearity is usually ignored or approximated in order to obtain analytical solutions. The impact of such ignorance on the accuracy of solutions has not been clear so far. This study seeks analytical solutions without ignoring this nonlinear term. Firstly, a nonlinear mathematical model is developed for the two-phase flow of gas and water during shale gas production. This model also considers the effects
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38

Elbaz, Shai B., Hila Jacob, and Amir D. Gat. "Transient gas flow in elastic microchannels." Journal of Fluid Mechanics 846 (May 8, 2018): 460–81. http://dx.doi.org/10.1017/jfm.2018.287.

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We study pressure-driven propagation of gas into a two-dimensional microchannel bounded by linearly elastic substrates. Relevant fields of application include lab-on-a-chip devices, soft robotics and respiratory flows. Applying the lubrication approximation, the flow field is governed by the interaction between elasticity and viscosity, as well as weak rarefaction and low-Mach-number compressibility effects, characteristic of gaseous microflows. A governing equation describing the evolution of channel height is derived for the problem. Several physical limits allow simplification of the govern
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39

Zhuang, Xupin, Kaifei Jia, Bowen Cheng, Ketian Guan, Weimin Kang, and Yuanlin Ren. "Preparation of Polyacrylonitrile Nanofibers by Solution Blowing Process." Journal of Engineered Fibers and Fabrics 8, no. 1 (2013): 155892501300800. http://dx.doi.org/10.1177/155892501300800111.

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Solution blowing is an innovative process for spinning nanofibers from polymer solutions using high-velocity gas flow as fiber-forming driving force. Polyacrylonitrile (PAN) nanofibers were prepared using PAN solutions in N, N-Dimethylformamide and the morphologies of the fibers were examined using a scanning electron microscope. The process parameters including solution concentration, gas pressure supplied to the gas cavity, and solution-feeding rate were varied to investigate their effects on the morphologies of the fibers. PAN fibers were successfully prepared in the form of a nonwoven web.
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40

Mironov, D. V., V. M. Mironov, V. F. Mazanko, D. S. Gertsriken, and P. V. Peretyatku. "Interaction of metals and alloys with gas media under spark discharges." Resource-Efficient Technologies, no. 3 (August 28, 2018): 19–36. http://dx.doi.org/10.18799/24056537/2018/3/199.

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The paper studies the penetration of nitrogen, oxygen, hydrogen, carbon, argon and krypton into copper, nickel, molybdenum, titanium, aluminum, iron and different steels under the action of spark discharges in various media based on radioactive indicators using step-by-step radiometric analysis, macro-, micro-, electron-microscopy and activation autoradiography, Mössbauer and Auger spectroscopy, secondary ion-ionic emission, X-ray diffraction and X-ray microanalysis. The study describes distribution features of penetrating atoms and their concentration profiles. Phase composition of near-surfa
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Habib, A., and Khaled Habib. "Modelling and Quantification of Gas Flux through an Artificial Epidermis." Journal of Biomimetics, Biomaterials and Tissue Engineering 1 (July 2008): 49–56. http://dx.doi.org/10.4028/www.scientific.net/jbbte.1.49.

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A general model of transport of gases in an artificial epidermal layer (membrane) was established. The model was developed based on Dusty Gas Model (DGM), solution diffusion and surface diffusion. As a result, solutions of the model for different transport conditions were derived. In this investigation, parameters of oxygen and carbon dioxide gases through an artificial “epidermal” membrane of varying porosity were used to calculate semi-empirical solutions of the general model. In other words, the solutions of the general model were analytically obtained for different transport conditions, us
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42

Costa Gomes, M. F., and A. A. H. Pádua. "Gas–liquid interactions in solution." Pure and Applied Chemistry 77, no. 3 (2005): 653–65. http://dx.doi.org/10.1351/pac200577030653.

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Two approaches are followed to understand how molecular interactions influence the macroscopic properties of solutions: (1) experiment, through the determination of gas solubility, and (2) computer simulation, used to evaluate microscopic properties (structural and energetic). Examples of application of these approaches are considered in order to explain the properties of solutions containing fluorinated fluids or ionic liquids. The molecular structures and interactions are described by force fields built from ab initio quantum chemical calculations. These models allow the determination of fre
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43

Zhang, Yunfeng, Meina Sun, and Xiuli Lin. "Solutions with concentration and cavitation to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas." Open Mathematics 17, no. 1 (2019): 220–41. http://dx.doi.org/10.1515/math-2019-0017.

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Abstract The solutions to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas are constructed for all kinds of situations by using the method of phase plane analysis. The asymptotic limits of solutions to the Riemann problem for the relativistic extended Chaplygin Euler system are investigated in detail when the pressure given by the equation of state of extended Chaplygin gas becomes that of the pressureless gas. During the process of vanishing pressure, the phenomenon of concentration can be identified and analyzed when the two-shock Riemann soluti
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44

Asmara, Yuli, Tedi Kurniawan, and Kushendarsyah Saptaji. "Corrosion Rate of Carbon Steel A106 Gr B in Amine-CO2 Contained Solutions." Indonesian Journal of Computing, Engineering and Design (IJoCED) 3, no. 1 (2021): 1–8. http://dx.doi.org/10.35806/ijoced.v3i1.120.

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Carbon dioxide (CO2) is one of the corrosive element which exists in oil and gas industries. To prevent CO2 corrosion on carbon steel pipelines, amine-base solvent and caustic solutions are commonly applied. Accordingly, effectiveness of amine base solvent and caustic solutions to reduce risk of corrosion becomes key parameters in determining service lifetime of pipelines made of carbon steel. In this research, the corrosion rate of carbon steel A106 Gr B in amine solutions combined with saturated CO2 gas and caustic solution was studied. The experiments were carried out in static conditions a
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45

Kim, Jong Choon, Do Jun Shim, Kang Ok Yoon, et al. "Development of Corroded Gas Pipeline Assessment Program Based on Limit Load Solution." Key Engineering Materials 297-300 (November 2005): 47–52. http://dx.doi.org/10.4028/www.scientific.net/kem.297-300.47.

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Pipelines have the highest capacity and are the safest and the least environmentally disruptive means for transmitting gas or oil. Recently, failures due to corrosion defects have become a major concern in maintaining pipeline integrity. A number of solutions have been developed for the assessment of remaining strength of corroded pipelines. In this paper, a Fitness-For-Purpose (FFP)type limit load solution for corroded city gas pipelines is proposed. For this purpose, a series of burst tests with various types of machined defects were performed. Finite element simulations were carried out to
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46

Girotti, M., T. Grava, R. Jenkins, and K. D. T. R. McLaughlin. "Rigorous Asymptotics of a KdV Soliton Gas." Communications in Mathematical Physics 384, no. 2 (2021): 733–84. http://dx.doi.org/10.1007/s00220-021-03942-1.

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AbstractWe analytically study the long time and large space asymptotics of a new broad class of solutions of the KdV equation introduced by Dyachenko, Zakharov, and Zakharov. These solutions are characterized by a Riemann–Hilbert problem which we show arises as the limit $$N\rightarrow + \infty $$ N → + ∞ of a gas of N-solitons. We show that this gas of solitons in the limit $$N\rightarrow \infty $$ N → ∞ is slowly approaching a cnoidal wave solution for $$x \rightarrow - \infty $$ x → - ∞ up to terms of order $$\mathcal {O} (1/x)$$ O ( 1 / x ) , while approaching zero exponentially fast for $
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47

Stamenkovic, Ivica, Olivera Stamenkovic, Ivana Bankovic-Ilic, Miodrag Lazic, Vlada Veljkovic, and Dejan Skala. "The gas holdup in a multiphase reciprocating plate column filled with carboxymethylcellulose solutions." Journal of the Serbian Chemical Society 70, no. 12 (2005): 1533–44. http://dx.doi.org/10.2298/jsc0512533s.

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Gas holdup was investigated in a gas-liquid and gas-liquid-solid reciprocating plate column (RPC) under various operation conditions. Aqueous carboxymethyl cellulose (sodium salt, CMC) solutions were used as the liquid phase, the solid phase was spheres placed into interplate spaces, and the gas phase was air. The gas holdup in the RPC was influenced by: the vibration intensity, i.e., the power consumption, the superficial gas velocity, the solids content and the rheological properties of the liquid phase. The gas holdup increased with increasing vibration intensity and superficial gas velocit
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48

Sousa, Emilio P., Abelardo B. Barreto, and Alvaro M. Peres. "Analytical Treatment of Pressure-Transient Solutions for Gas Wells With Wellbore Storage and Skin Effects by the Green's Functions Method." SPE Journal 21, no. 05 (2016): 1858–69. http://dx.doi.org/10.2118/173470-pa.

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Summary Even when written in terms of a pseudopressure function, the diffusivity equation for flow of gases through porous media is, rigorously speaking, nonlinear because the viscosity-compressibility product is pseudopressure-dependent. However, several techniques and analysis procedures neglect such nonlinearity. A new methodology for constructing solutions for gas reservoirs through the Green's functions (GF) technique was recently proposed in the literature. Such methodology handles the viscosity-compressibility product variation rigorously, and it was applied to solve several gas-well te
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49

Guo, Lihui, and Gan Yin. "Limit of Riemann Solutions to the Nonsymmetric System of Keyfitz-Kranzer Type." Scientific World Journal 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/287256.

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The limit of Riemann solutions to the nonsymmetric system of Keyfitz-Kranzer type with a scaled pressure is considered for both polytropic gas and generalized Chaplygin gas. In the former case, the delta shock wave can be obtained as the limit of shock wave and contact discontinuity whenu->u+and the parameterϵtends to zero. The point is, the delta shock wave is not the one of transport equations, which is obviously different from cases of some other systems such as Euler equations or relativistic Euler equations. For the generalized Chaplygin gas, unlike the polytropic or isothermal gas, th
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50

Grigoriev, Yu N., A. G. Gorobchuk, and I. V. Ershov. "CONVERGENCE OF LOCALLY SELFSIMILAR SOLUTIONS TO EXACT NUMERICAL SOLUTIONS OF BOUNDARY LAYER EQUATIONS FOR A PLATE." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 71 (2021): 49–62. http://dx.doi.org/10.17223/19988621/71/5.

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This paper considers a possibility of using locally self-similar solutions for a stationary boundary layer in linear stability problems. The solutions, obtained at various boundary conditions for a vibrationally excited gas, are compared with finite-difference calculations of the corresponding flows. An initial system of equations for a plane boundary layer of the vibrationally excited gas is derived from complete equations of two-temperature relaxation aerodynamics. Relaxation of vibrational modes of gas molecules is described in the framework of the Landau – Teller equation. Transfer coeffic
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