TY - JOUR ID - 971 TI - Stagnation flow and heat transfer on a moving cylinder with transpiration and high Reynolds numbers consideration JO - Iranian Journal of Science and Technology Transactions of Mechanical Engineering JA - IJSTM LA - en SN - 2228-6187 Y1 - 2013 PY - 2013 VL - 28 IS - 4 SP - 453 EP - 466 KW - Stagnation flow KW - moving cylider KW - heat transfer KW - transpiration KW - high Reynolds numbers DO - 10.22099/ijstm.2013.971 N2 - High-Reynolds-number unsteady viscous flow and heat transfer in the vicinity of an axisymmetric stagnation point of an infinite moving cylinder with time-dependent axial velocity and with uniform transpiration, , is investigated. The impinging free stream is steady and with a strain rate . An exact solution of the Navier-Stokes equations and energy equation is derived in this problem. The general self-similar solution is obtained when the axial velocity of the cylinder and its wall temperature or its wall heat flux vary as certain functions. These solutions are presented for special cases when the time-dependent axial velocity of the cylinder and its wall temperature or heat flux are certain functions of time. All the solutions above are presented for Reynolds numbers, , ranging from 0.1 to 1000 and different values of dimensionless transpiration rate, , where  is cylinder radius and  is kinematic viscosity of the fluid. Shear stresses corresponding to all the cases increase with the Reynolds number and decrease with the increase of suction rate. Using an inner-outer expansion, uniformly valid solutions of the equations in the case of high Reynolds numbers are obtained.         UR - https://ijstm.shirazu.ac.ir/article_971.html L1 - ER -