The steady flow of a third grade fluid past a horizontal porous plate with partial slip is investigated. The arising non-linear problem is solved numerically using a finite element method. The results of no-slip and slip conditions are presented graphically and the effects of fluid parameters, suction velocity and slip parameter have been discussed. Comparison of the present analysis is made wi...

In this paper, we modify the thermodynamically compatible third-grade fluid model by introducing a shear-rateand volume-fraction-dependent viscosity into the equation. With this new model, it is possible to predict not only the normal stress differences, but also the variable viscosity observed in many suspensions.We study the Couette–Poiseuille flow of such a fluid between two horizontal flat ...

This paper provides a theoretical study of steady flow of an incompressible third grade fluid in helical screw rheometer. The model developed in cylindrical coordinates pertains to second order nonlinear coupled differential equations that are solved using homotopy perturbation method. Expressions for velocity components in θ and z−direction are obtained. The volume flow rates are calculated fo...

In this paper, the mixed convection steady boundary layer stagnation point flow and heat transfer of a third grade fluid over an exponentially stretching sheet is investigated. Both the analytical and numerical solutions are carried out. The analytical solutions are obtained through the homotopy analysis method (HAM) while the numerical solutions are computed by using the Keller box method (K-b...