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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Lipanov, A.M., Karskanov, S.A. Stabilization and evolution of parameters of a symmetric laminar flow in a plane channel with sudden expansion. J Appl Mech Tech Phys 48, 27–33 (2007). https://doi.org/10.1007/s10808-007-0005-z
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DOI: https://doi.org/10.1007/s10808-007-0005-z