Structure of Pulsatile Hiemenz Flow and Temporal Variation of Wall Shear Stress near the Stagnation Point. I
Abstract
A linearized NavierStokes equation governing the twodimensional viscous incompressible flow impinging on an infinite flat plate is suggested to investigate the timedependent flow structure and the wall shear stress near the stagnation point. It can be shown that this equation yields a simple analytical solution for the steady Hiemenz flow, which is very close to the exact solution first derived numerically by Hiemenz. Therefore, it is expected that for unsteady Hiemenz flows this equation describes the flow structure as well. Perturbed solutions for a pulsatile Hiemenz flow directed normally and obliquely to the plane wall are calculated in analytical forms when the amplitude of pulsation is small, and show some essential features of the pulsatile flow near the stagnation point.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 June 1977
 DOI:
 10.1143/JPSJ.42.2041
 Bibcode:
 1977JPSJ...42.2041M
 Keywords:

 Flow Distribution;
 Perturbation Theory;
 Shear Stress;
 Stagnation Flow;
 Two Dimensional Flow;
 Unsteady Flow;
 Flat Plates;
 Flow Theory;
 Incompressible Flow;
 Linearization;
 NavierStokes Equation;
 Stagnation Point;
 Steady Flow;
 Viscous Flow;
 Wall Flow;
 Fluid Mechanics and Heat Transfer