Generalized blasius problem for a viscoelastic fluid with viscous dissipation and suction

Abstract

The research on viscoelastic fluid problems is important due to the strong applications in petroleum drilling, manufacturing of food and paper and other similar activities. In this thesis, the Blasius boundary layer equation has been generalized for viscoelastic fluid with the effects of viscous dissipation and suction or injection. The equation of motion in viscoelastic fluid is one order higher than the Navier-Stokes or boundary layer equations. Therefore, we need an extra boundary condition by augmenting the boundary condition at infinity. The governing equations are first transformed into a non-dimensional form, and then, into a set of non similar boundary layer equations, which are solved numerically using Keller-box scheme. Numerical results presented graphically include the velocity profiles, temperature profiles, skin friction parameters and heat transfer parameters for various values of the suction or injection parameter, fw, Prandtl number, Pr, Eckert number, Ec and the ratio moving parameter, A. It is found that, the increase of parameter K leads to the increase of temperature distribution in all cases. The results also show that, the effect of increasing the values of parameter A for suction cases is increase the temperature profile but opposite situation is found for injection cases. It is worth mentioning that the results in viscoelastic fluids when parameter K = 0 (Newtonian fluids), are in excellent agreement with these obtained in viscous fluids.