Some Exact Solutions of Second Grade Fluid over the Plane moving with Constant Acceleration

Exact solutions for the flow of a generalized second grade due to a Longitudinal quadratic time-dependent shear stress

EXACT SOLUTIONS FOR FLOW OF A SISKO FLUID IN PIPE

By means of He's homotopy perturbation method (HPM) an approximate solution of velocity eld is derived for the ow in straight pipes of non-Newtonian uid obeying the Sisko model. The nonlinear equations governing the ow in pipe are for- mulated and analyzed, using homotopy perturbation method due to He. Furthermore, the obtained solutions for velocity eld is graphically sketched...

Some exact solutions of an elastico-viscous fluid

Elastrco-vrscous fluids, m particular the model characterrzed by Walters [l] (hqmd B’), exhibit a close resemblance to real fluids hke olls and certam hrgh polymer solutrons One of the important aspects of any fluid 1s the behavror of its unsteady boundary layers A large number of papers concernmg the time-dependent flows of elastrco-viscous hqmd B' have appeared m the literature, for example, ...

A Note on the Solutions of Some Nonlinear Equations Arising in Third-Grade Fluid Flows: An Exact Approach

In this communication, we utilize some basic symmetry reductions to transform the governing nonlinear partial differential equations arising in the study of third-grade fluid flows into ordinary differential equations. We obtain some simple closed-form steady-state solutions of these reduced equations. Our solutions are valid for the whole domain [0,∞) and also satisfy the physical boundary con...

Exact Solutions of Flows of an Oldroyd 8-Constant Fluid with Nonlinear Slip Conditions

This communication is concerned with the nonlinear flows of an Oldroyd 8-constant fluid when the no-slip condition is not valid. Due to slip effects in terms of shear stress, the arising slip conditions are nonlinear. The resulting mathematical problems involves nonlinear differential equations and nonlinear boundary conditions. To the best of my knowledge, no such analysis for the flows of an ...