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Flows induced by a plate moving normal to stagnation-point flow

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Abstract

The flow generated by an infinite flat plate advancing toward or receding from a normal stagnation-point flow is obtained as an exact reduction of the Navier–Stokes equations for the case when the plate moves at constant velocity V. Both Hiemenz (planar) and Homann (axisymmetric) stagnation flows are considered. In each case, the problem is governed by a Reynolds number R proportional to V. Small and large R behaviors of the shear stress parameters are found for both advancing and receding plates. Numerical solutions determined over an intermediate range of R accurately match onto the small and large R asymptotic behaviors. As a side note, we report an interesting exact solution for plates advancing toward or receding from an exact rotational stagnation-point flow discovered by Agrawal (1957).

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Author notes

  1. M. A. Sprague

    Present address: National Renewable Energy Laboratory, Golden, CO, 80401, USA

Authors and Affiliations

  1. Department of Mechanical Engineering, University of Colorado, Boulder, CO, 80309-0427, USA

    P. D. Weidman

  2. School of Natural Sciences, University of California, Merced, CA, 95344, USA

    M. A. Sprague

Authors
  1. P. D. Weidman
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  2. M. A. Sprague
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Correspondence to P. D. Weidman.

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Weidman, P.D., Sprague, M.A. Flows induced by a plate moving normal to stagnation-point flow. Acta Mech 219, 219–229 (2011). https://doi.org/10.1007/s00707-011-0458-2

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  • DOI: https://doi.org/10.1007/s00707-011-0458-2

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