Abstract
The unsteady two-dimensional stagnation point flow of second-grade fluid impinging on an infinite plate is examined and solutions are obtained. It is assumed that the infinite plate at ��= 0 is making harmonic oscillations in its own plane. Solutions for small and large frequencies of the oscillations are obtained for various values of the Weissenberg number. The effect of the Weissenberg number is to decrease the velocity near the wall as it increases.
Highlights
Ω viscoelastic parameters of the fluid frequency constant constant non-dimensional varable fluid viscosity kinematic viscosity Shear stress component non-dimensional variable streamfunction frequency
Hiemenz [1] derived an exact solution of the steady flow of a Newtonian fluid impinging orthogonally on an infinite flat plate
Stuart [2], Tamada [3] and Dorrepaal [4] independently investigated the solutions of a stagnation point flow when the fluid impinges obliquely on the plate
Summary
Ω viscoelastic parameters of the fluid frequency constant constant non-dimensional varable fluid viscosity kinematic viscosity Shear stress component non-dimensional variable streamfunction frequency. Stuart [2], Tamada [3] and Dorrepaal [4] independently investigated the solutions of a stagnation point flow when the fluid impinges obliquely on the plate.
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