Journal of Applied Fluid MechanicsJAFMMechanical Engineeringhttp://jafmonline.net1admin173535721735364510.18869/acadpub.jafmenjalali13941011gregorian20161191online1fulltexten10.18869/acadpub.jafm.68.224.24340Investigation of Three-Dimensional Axisymmetric Unsteady Stagnation-Point Flow and Heat Transfer Impinging on an Accelerated Flat PlategeneralResearchGeneral formulation and solution of Navier-Stokes and energy equations are sought in the study of threedimensional axisymmetric unsteady stagnation-point flow and heat transfer impinging on a flat plate when the
plate is moving with variable velocity and acceleration towards the main stream or away from it. As an
application, among others, this accelerated plate can be assumed as a solidification front which is being
formed with variable velocity. An external fluid, along z - direction, with strain rate a impinges on this flat
plate and produces an unsteady three-dimensional axisymmetric flow in which the plate moves along z direction with variable velocity and acceleration in general. A reduction of Navier-Stokes and energy
equations is obtained by use of appropriate similarity transformations, for the first time. The obtained
ordinary differential equations are solved by using finite-difference numerical techniques. Velocity and
pressure profiles along with temperature profiles are presented for different examples of the plate velocity
functions and selected Prandtl numbers. According to the results obtained, the velocity and thermal boundary
layers feel the effect of variations of the plate velocity more than the plate acceleration. It means that the
minimum boundary layer thickness happens at the maximum value of the plate velocity and acceleration
effect plays a secondary role.Stagnation-point flow and heat transfer; Unsteady flow; Viscous fluid; Accelerated plate; Similarity solution; Three-dimensional axisymmetric.451461http://jafmonline.net/JournalArchive/download?file_ID=39000&issue_ID=224A.Shokrgozar shokrgozar.ali@gmail.com`NoDepartment of mechanical engineering, Payame Noor University, Iran`

`A. B.Rahimirahimiab@yahoo.com``NoFaculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran`

`H.Mozayenimozayyeni_hr@yahoo.com``NoFaculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran`