Generalized Second Grade Fluid Performing Sinusoidal Motion in an Infinite Cylinder

This paper shows the calculation of velocity field and shear stress corresponding to Generalized second grade fluid performing sinusoidal motion. Shear stress is found by using  G_a,b,c(.,.) = G_a,b+β,c(.,.) [4]. Velocity field obtained by applying Laplace and Hankel transforms. The solution have been written in series form by using generalised function G.,.,.(.,t) and Bessel functions.

Keywords: Generalized Second Grade Fluid, Shear Stress, Velocity Field