A shear flow problem for compressible viscous micropolar fluid: Derivation of the model and numerical solution

被引：8
|
作者：
Drazic, Ivan [1 ]
Crnjaric-Zic, Nelida [1 ]
Simcic, Loredana [1 ]
机构：
[1] Univ Rijeka, Fac Engn, Sect Appl Math & Phys, Vukovarska 58, Rijeka 51000, Croatia
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2019年 / 162卷
关键词：
Compressible micropolar fluid; Shear flow; Numerical solution; NAVIER-STOKES EQUATIONS; 3-D FLOW; EXPONENTIAL STABILITY; CYLINDRICAL SYMMETRY; GLOBAL SOLUTION; BEHAVIOR; EXISTENCE; SCHEME;
D O I：
10.1016/j.matcom.2019.01.013
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we consider the nonstationary shear flow between two parallel solid and thermoinsulated horizontal plates with the upper one moving irrotationally. The fluid is compressible, micropolar, viscous and heat-conducting, as well as in the thermodynamical sense perfect and polytropic. We assume that, given a Cartesian coordinate system x, y and z, solutions of corresponding problem are x -dependent only. Mathematical model is derived in the Lagrangian description. By using the Faedo-Galerkin method, as well as homogenization of boundary conditions, we derive an approximate system, which we use to obtain a numerical solution to the given problem. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.Y. All rights reserved.
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页码：249 / 267
页数：19
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