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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2010 Volume 51, Issue 1, Pages 7–15 (Mi pmtf1557)

Parametric study of unsteady laminar flows

A. M. Lipanov, S. A. Karskanov

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

Abstract: Results of a parametric study of unsteady laminar flows are analyzed. Three-dimensional unsteady equations of hydromechanics for a compressible medium are solved. The range of the characteristic Reynolds number $\operatorname{Re}= 400-900$ is considered. It is demonstrated that the laminar flow in a plane channel ceases to be steady at $\operatorname{Re}=415$. As the Reynolds number increases, the unsteady processes become more intense, disturbances penetrate inward the channel, and separation zones lose their stability. In the vicinity of the channel exit, however, the flow tends to stabilize, though it remains unsteady. No transition to a turbulent flow occurs in the examined range of Reynolds numbers.

Keywords: equations of hydromechanics, Reynolds number, Mach number, Prandtl number, domain of integration, separation zone.

UDC: 533.6:519.63

Received: 13.09.2007
Accepted: 25.02.2009


 English version:
Journal of Applied Mechanics and Technical Physics, 2010, 51:1, 4–10

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© Steklov Math. Inst. of RAS, 2026