Stagnation-Point Flow and Heat Transfer of a Viscous, Compressible Fluid on a Cylinder

Abstract

DOI: 10.2514/1.T3833 Thesteady-state,viscous,compressible flowandheattransferinthevicinityofanaxisymmetricstagnationpointof an infinite stationary cylinder with constant wall temperature are investigated. The impinging freestream is steady and with a constant strain rate �.Exact solutions of the Navier–Stokes equations andenergy equation are derived in this problem. A reduction of these equations is obtained by use of appropriate transformations introduced for the firsttime.Thegeneralself-similarsolutionisobtainedwhenthewalltemperatureofthecylinderisconstant.Allofthe aforementioned solutions are presented for Reynolds numbers Re � � ka 2 =2� ranging from 0.01 to 1000, selected