Numerical simulation of two-dimensional gas flows through granular phase change materials
type: Item
instance of: scholarly article
title: Numerical simulation of two-dimensional gas flows through granular phase change materials
zbMATH Open document ID: 1468.80002
DOI: 10.1134/S096554252103012X
published in: Computational Mathematics and Mathematical Physics
publication date: 2021-05-10T00:00:00Z
review text: The perspective way of energy storage is using compressed-air energy storage plants with thermal energy storage systems based on phase change materials (PSM). In granular or capsular PCMs, particles can melt or solidify without loss of integrity. The present paper numerically models a two-dimensional flow of ideal gas through such materials; this flow is accompanied by phase transition inside PCM particles. The mathematical description of the process is based on the model of interacting interpenetrating continua and contains the equations of energy for the gas and the PCM, the equation of continuity for the gas, a generalization of Darcy's law and Sutherland correlation for the gas viscosity. As the phase transition is smooth, it is impossible to describe it by a classical Stefan problem. Instead, a parameter \(f\) is introduced in the equations, which stands for the liquid phase fraction in the PCM (\(f=0\) corresponds to the solid phase and \(f=1\) to liquid, respectively). So, a nonlinear mixed hyperbolic-parabolic system of equations is obtained, which cannot be solved analytically. The authors propose a numerical method combining explicit and implicit finite-difference schemes to solve it. The method's convergence cannot be proved analytically, but it is illustrated on some examples. The authors show that the total rate of convergence is close to 1 but it may be higher at the interior points of the domain under study. Calculations made for domains of several different shapes show that heating near domain walls occurs more slowly than in its central part.
reviewed by: Aleksey Syromyasov
Mathematics Subject Classification ID: 80A19
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 80M20
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7346778
zbMATH Keywords: phase change material
zbMATH Keywords: porous media
zbMATH Keywords: smooth phase transition
zbMATH Keywords: finite-difference method
zbMATH Keywords: mixed system of equations
zbMATH Keywords: ideal gas flow
author: Nickolay A. Lutsenko
author: Sergey S. Fetsov
MaRDI profile type: Publication
cites work: Q3964945
cites work: Numerical Model of Time-Dependent Gas Flows Through Bed of Granular Phase Change Material
cites work: Numerical model of two-dimensional heterogeneous combustion in porous media under natural convection or forced filtration
cites work: Q3686255
full work available at URL: s096554252103012x
OpenAlex ID: W3157749843
description: scientific article; zbMATH DE number 7346778