Similarity solutions of axisymmetric stagnation-point flow and heat transfer of a viscous, Boussinesq-related density fluid on a moving flat plate

The problem of unsteady three-dimensional axisymmetric stagnation-pointow and heat transfer of a viscous compressible uid on a at plate is solved when theplate can move with any arbitrary time-dependently variable or constant velocity. anexternal low mach number potential ow impinges, along z-direction, on the at platewith strain rate a to produce three-dimensional axisymmetric stagnation-point ow wherethe plate moves toward or away from impinging ow, concurrently. an exact solutionof the governing navier-stokes and energy equations is obtained by the use of suitablyintroducedsimilarity transformations. the temperature of the plate wall is kept constantwhich is dierent with that of the main stream. a boussinesq approximation is used totake into account the density variations of the uid. the results are presented for a widerange of parameters characterizing the problem including volumetric expansion coecient(), wall temperature, prandtl number and plate velocity at both steady and unsteadycases. according to the results obtained, it is revealed that when the plate moves awayfrom the impinging ow, thermal and velocity boundary layer thicknesses get higher valuescompared to the plate moving upward. besides, it is captured that the value of and prnumber do not have any signicant eect on shear stress and, also, heat transfer for a platemoving away from the incoming potential ow.