The steady-state viscous, compressible flow and heat transfer in the vicinity of an axisymmetric stagnation-point of a cylinder moving axially with a constant velocity are investigated. The impinging free stream is steady and with a constant strain - rate . An exact solution of the Navier-Stokes equations and energy equation is derived in this problem. A reduction of these equations is obtained by use of appropriate transformations. The general self-similar solution is obtained when the wall temperature of the cylinder or its wall heat flux is constant. All the solutions above are presented for the case of low Mach number and for Reynolds numbers, , ranging from 0.1 to 1000, selected values of compressibility factor, and different values of Prandtl numbers where is the cylinder radius and is kinematic viscosity of the fluid. Shear-stress is presented as well. Axial movement of the cylinder does not have any effect on radial component of the velocity and also heat transfer but its increase increases the axial component of fluid velocity field and shear- stress.

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