This article addresses the boundary layer flow and heat transfer in third grade fluid over an unsteady permeable stretching sheet. The transverse magnetic and electric fields in the momentum equations are considered. Thermal boundary layer equation includes both viscous and Ohmic dissipations. The related nonlinear partial differential system is reduced first into ordinary differential system a...

This work is an analytical study of unsteady thin film third grade fluid. The governing non linear partial differential equation has been solved analytically by Adomian Decomposition Method (ADM). The effect of model parameters on velocity profile have been plotted and discussed numerically as well as graphically.

The effects of variable viscosity on the flow and heat transfer in a thin film flow for a third grade fluid has been discussed. The thin film is considered on the outer side of an infinitely long vertical cylinder. The governing nonlinear differential equations of momentum and energy are solved analytically by using homotopy analysis method. The expression for the viscous dissipation and entrop...

*Correspondence: [email protected] School of Mathematical Science, Anhui University, Hefei, 230601, P.R. China Abstract This paper is concerned with the improved L2 decay for solutions of a class of the third-grade non-Newtonian fluid flows in R3. By developing the classic Fourier splitting methods, we prove the non-uniform decay of solutions when u0 ∈ L2(R3) and improve algebraic decay rates o...

The aim of this communication is to investigate thin film flow of an incompressible third grade fluid on an inclined plane with partial slip. The governing equations of this flow are nonlinear and solved for the velocity field using analytical method, name the optimal homotopy asymptotic method (OHAM). Results obtained by OHAM are compared with exact solution and a close agreement was found. Fi...