Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica
https://doi.org/10.37661/1816-0301-2024-21-4-46-57
Abstract
Objectives. The objective of the work is computer modeling of diffusion in ideal gas mixtures taking into account the dependence of the diffusion coefficient on the entropy of mixing according to the model proposed by one of the authors of the article, in Wolfram Mathematica.
Methods. Built-in function NDSolveValue in Wolfram Mathematica and the default solver were used for the numerical solution of the one-dimensional task; for the numerical solution of the two-dimensional task the same function was used, for which the Numerical Method of Lines was specified as the solver.
Results. The results of computer modeling of diffusion in a mixture of ideal gases are obtained taking into account the dependence of the diffusion coefficient on the entropy of mixing for two tasks in a one-dimensional formulation and one task in a two-dimensional formulation.
Conclusion. The conducted research and the obtained solutions in computer modeling of diffusion in a mixture of ideal gases taking into account the dependence of the diffusion coefficient on the entropy of mixing indicate that for solving tasks in the field of computer modeling of gas mixing in modern software tools could be used a mathematical model that is an alternative to popular modern models based on the description of the hydrodynamic properties of gases and the enthalpy of mixing, as well as other entropy models.
About the Authors
P. K. Shalkevich
International Sakharov Environmental Institute of Belarusian State University
Belarus
Belarus
Pavel K. Shalkevich, Ph. D. (Eng.), Assoc. Prof., Assoc. Prof. of the Department of Information Technologies in Ecology and Medicine
st. Botanicheskaya, 15, Minsk, 220037
N. A. Shilov
Belarusian State University of Informatics and Radioelectronics
Belarus
Belarus
Nikolay A. Shilov, Associate of the Department of Economic Informatics
st. P. Brovki, 6, Minsk, 220013
N. N. Grinchik
A. V. Luikov heat and mass transfer institute of the National academy of sciences of Belarus
Belarus
Belarus
Nikolay N. Grinchik, D. Sc. (Phys.-Math.), Assoc. Prof., Leading Researcher of the Laboratory of Thermophysical Measurements
st. P. Brovki, 15, Minsk, 220072
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Review
For citations:
Shalkevich P.K., Shilov N.A., Grinchik N.N. Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica. Informatics. 2024;21(4):46-57. (In Russ.) https://doi.org/10.37661/1816-0301-2024-21-4-46-57
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