Mathematical modeling of viscous gas flow in a doubly connected volume with perforated walls

A. M. Lipanov, A. N. Semakin

Institute of Applied Mechanics, Ural Division, Russian Academy of Sciences, Izhevsk, 426067, Russia

Abstract: A numerical method is proposed for computing viscous gas flow in an initial doubly connected domain which is a volume having perforated walls and enclosing a sphere. The types of subdomains (finite volumes) into which the initial domain can be divided are considered. For each type of finite volume, there is a curvilinear coordinate system. Results of flow computation for $\mathrm{Re}=100$ and $500$, and $\mathrm{M}=0.6$ are given.

Keywords: doubly connected domain, finite volume, viscous gas, system of equations of hydromechanics, curvilinear coordinate system.

UDC: 533.6.011.3

Received: 13.02.2008
Accepted: 18.11.2009

 English version: Journal of Applied Mechanics and Technical Physics, 2010, 51:4, 489–496

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