Three-dimensional compressible viscous micropolar fluid with cylinder symmetry – derivation of the model and a numerical solution (CROSBI ID 219028)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Dražić, Ivan ; Mujaković, Nermina ; Črnjarić-Žic, Nelida
engleski
Three-dimensional compressible viscous micropolar fluid with cylinder symmetry – derivation of the model and a numerical solution
In this paper we consider the nonstationary 3D flow of a compressible viscous and heat- conducting micropolar fluid, which is in the thermodynamical sense perfect and polytropic. The fluid domain is the subset of R^3 bounded with two coaxial cylinders that present solid thermoinsulated walls. We assume that the initial mass density, temperature, as well as the velocity and microrotation vectors are radially dependent only. The corresponding solution is also spatially radially dependent. We derive the mathematical model in the Lagrangian description and by using the Faedo- Galerkin method we introduce a system of approximate equations and construct its solutions. We also analyze two numerical examples.
micropolar fluid flow ; initial-boundary value problem ; cylindrical symmetry ; Faedo-Galerkin method ; numerical approximations.
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Podaci o izdanju
140
2017.
107-124
objavljeno
0378-4754
10.1016/j.matcom.2017.03.006