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Num. Meth. Prog., 2009, Volume 10, Issue 3, Pages 348–362 (Mi vmp387)  

Вычислительные методы и приложения

Analytical and numerical study of gas flow in a casing with a rotating disk

E. V. Vorozhtsov

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: The known approximate analytic solution to the problem of gas flow induced by the disc rotation inside a closed casing ia analyzed. It is shown that this solution is inapplicable because of a negative thickness of the boundary layer near the shaft. Several new analytic solutions are obtained for the flow parameters inside the boundary layer of the casing motionless base. To further reduce the discrepancy between the analytic solution and the direct difference solution to the three-dimensional Navier-Stokes equations, it is proposed to account for the viscous friction force moment on the lateral wall of the casing. The consideration of this moment considerably improves the accuracy of the approximate analytic solution.

Keywords: disk rotation in casing; viscous incompressible fluid; analytic solution; cylindrical coordinates; finite-difference method.

Full text: PDF file (795 kB)
UDC: 533.4/6

Citation: E. V. Vorozhtsov, “Analytical and numerical study of gas flow in a casing with a rotating disk”, Num. Meth. Prog., 10:3 (2009), 348–362

Citation in format AMSBIB
\Bibitem{Vor09}
\by E.~V.~Vorozhtsov
\paper Analytical and numerical study of gas flow in a casing with a rotating disk
\jour Num. Meth. Prog.
\yr 2009
\vol 10
\issue 3
\pages 348--362
\mathnet{http://mi.mathnet.ru/vmp387}


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