This article is cited in 2 papers

Stabilization and evolution of parameters of a symmetric laminar flow in a plane channel with sudden expansion

A. M. Lipanov, S. A. Karskanov

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

Abstract: A problem is formulated for computing the fields of parameters of a stationary laminar symmetric flow. A two-dimensional flow in a channel with a sudden change in the cross-sectional area is computed. The evolution of a three-dimensional perturbation inserted into the channel at the initial stage of computations is analyzed. It is demonstrated that the parameters of a two-dimensional flow in the channel at a Reynolds number $\mathrm{Re}=50$ become stabilized at a dimensionless time $t>20$, whereas the steady state is reached under the same conditions at $t\approx100$. At a distance of approximately $10h$ ($h$ is the channel width at the entrance), the flow becomes one-dimensional, but the streamwise component of the velocity vector remains a function of the streamwise coordinate owing to flow compressibility.

Keywords: equations of hydromechanics, Reynolds number, Mach number, separation region.

UDC: 519.6

Received: 19.04.2006
Accepted: 18.07.2006

 English version: Journal of Applied Mechanics and Technical Physics, 2007, 48:1, 27–33

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