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Transition of boundary layer flow past a stretching sheet due to a step change in applied constant mass flux

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Abstract

The problem of transition of boundary layer flow from the initial unsteady flow to the final steady flow past a permeable stretching sheet is considered in this paper. Two cases are considered: (1) Case-I deals with the transition of the unsteady flow due to a sudden application of constant suction/injection at the surface of the stretching sheet, from the initially prevailing steady flow; (2) Case-II deals with unsteady flow transition due to a sudden removal of constant suction/injection at the surface of the stretching sheet, from the initially prevailing steady flow. Numerical results are obtained using the implicit finite difference method of Crank-Nicholson type. The velocity and local skin friction for different values of injection/suction parameter are graphically presented and discussed. It is found that for the same magnitude of applied mass flux in Case-I and mass flux removal in Case-II, the time to reach steady-state flow is different.

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Kumaran, V., Vanav Kumar, A. & Pop, I. Transition of boundary layer flow past a stretching sheet due to a step change in applied constant mass flux. Acta Mech 216, 139–145 (2011). https://doi.org/10.1007/s00707-010-0340-7

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