Stabilization and evolution of parameters of a symmetric laminar flow in a plane channel with sudden expansion |
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Authors: | A M Lipanov S A Karskanov |
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Institution: | (1) Institute of Applied Mechanics, Ural Division, Russian Academy of Sciences, Izhevsk, 426067 |
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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 Re = 50 become stabilized at a dimensionless time t > 20, whereas the steady state is reached under the same conditions at t
≈ 100. 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.
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Translated from PrikladnayaMekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 1, pp. 35–42, January–February, 2007. |
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Keywords: | equations of hydromechanics Reynolds number Mach number separation region |
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