Time-dependent stagnation-point flow over rotating disk impinging oncoming flow  

作　　者：S.MUNAWAR A.MEHMOOD A.ALI 

机构地区：[1]Department of Mathematics,Quaid-I-Azam University,Islamabad 44000,Pakistan [2]Department of Mathematics,School of Science and Technology,University of Management and Technology,Lahore 54000,Pakistan [3]Department of Mathematics,International Islamic University,Islamabad 44000,Pakistan

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第1期85-96,共12页应用数学和力学（英文版）

摘　　要：The unsteady stagnation point flow of an incompressible viscous fluid over a rotating disk is investigated numerically in the present study. The disk impinges the oncoming flow with a time-dependent axial velocity. The three-dimensionM axisymmetric boundary-layer flow is described by the Navier-Stokes equations. The governing equations are solved numerically, and two distinct similarity solution branches are obtained. Both solution branches exhibit different flow patterns. The upper branch solution exists for all values of the impinging parameter β and the rotating parameter Ω. However, the lower branch solution breaks down at some moderate values of β The involvement of the rotation at disk allows the similarity solution to be transpired for all the decreasing values of β. The results of the velocity profile, the skin friction, and the stream lines are demonstrated through graphs and tables for both solution branches. The results show that the impinging velocity depreciates the forward flow and accelerates the flow in the tangential direction.The unsteady stagnation point flow of an incompressible viscous fluid over a rotating disk is investigated numerically in the present study. The disk impinges the oncoming flow with a time-dependent axial velocity. The three-dimensionM axisymmetric boundary-layer flow is described by the Navier-Stokes equations. The governing equations are solved numerically, and two distinct similarity solution branches are obtained. Both solution branches exhibit different flow patterns. The upper branch solution exists for all values of the impinging parameter β and the rotating parameter Ω. However, the lower branch solution breaks down at some moderate values of β The involvement of the rotation at disk allows the similarity solution to be transpired for all the decreasing values of β. The results of the velocity profile, the skin friction, and the stream lines are demonstrated through graphs and tables for both solution branches. The results show that the impinging velocity depreciates the forward flow and accelerates the flow in the tangential direction.

关 键 词：similarity solution stagnation point flow rotating disk numerical solution 

分 类 号：O357.1[理学—流体力学]