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Starting flow in a rotating parallel plate channel

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Abstract

The starting flow due to a suddenly applied pressure gradient in a parallel plate channel which is rotating as a system is studied. Exact analytic series solutions to the unsteady Navier-Stokes equations are found by both the Laplace transform method and the separation of parameters method, the latter is shown to be superior. Rotation not only induces a secondary transverse flow but also alters the character of the transient flow rate and velocity profiles. Back flow and inertial oscillations occur, especially at higher rotation rates.

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  1. Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA

    Chang Yi Wang

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  1. Chang Yi Wang
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Correspondence to Chang Yi Wang.

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Wang, C.Y. Starting flow in a rotating parallel plate channel. Acta Mech Sin 28, 1271–1276 (2012). https://doi.org/10.1007/s10409-012-0096-5

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  • DOI: https://doi.org/10.1007/s10409-012-0096-5

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