Three-Dimensional Stagnation Flow and Heat Transfer on a Flat Plate with Transpiration

Abstract

DOI: 10.2514/1.41529 The existing solutions of Navier–Stokes and energy equations in the literature regarding the three-dimensional problemofstagnation-point flow,eitherona flatplateoronacylinderwithorwithouttranspiration,areonlyforthe case of axisymmetric formulation. In this study, the nonaxisymmetric three-dimensional steady viscous stagnationpoint flow and heat transfer in the vicinity of a flat plate are investigated when suction and blowing are also consideredinthemodel.Anexternal fluid,alongzdirection,withstrainrateaimpingesonthis flatplateandproduces a two-dimensional flow with different components of velocity on the plate. This external flow, as an example, can be generatedintheformofmultiplejetstreamsinarowinwhichthejetsareinequaldistancesfromeachotheralongthe x axis. A similarity solution of the Navier–Stokes equations and energy equation is presented in this problem. A reduction of these equations is obtained by use of appropriate similarity transformations. Velocity profiles and surface stress tensors and temperature profiles along with pressure profiles are presented for different values of velocity ratios and Prandtl number for sample cases of transpiration.