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.

引用

页码：249 / 267

页数：19

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