Acta Mechanica

, Volume 219, Issue 3–4, pp 219–229 | Cite as

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



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).


Reynolds Number Mixed Convection Dual Solution Shear Stress Distribution Singular Perturbation Problem 
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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of ColoradoBoulderUSA
  2. 2.School of Natural SciencesUniversity of CaliforniaMercedUSA
  3. 3.National Renewable Energy LaboratoryGoldenUSA

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