In this paper, the problem of heat and mass transfer on the flow of non-Newtonian micropolar fluid with uniform suction/blowing, heat generation, radiation, thermophoresis and chemical reaction is presented and discussed. The Homotopy Analysis Method (HAM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. The effects...

The steady flow of a micropolar fluid, due to a stretching cylinder, is considered. The equations of motion are reduced to a system of ordinary differential equations, which in turn are solved numerically using SOR iterative procedure and Simpson's (1/3) rule, for three different combinations of the three dimensionless parameters involved. Results are calculated, for the range 0.1 to 100 of the...

The present paper is aimed at studying the effect of gravity on the general model of the equations of the generalized thermomicrostretch for a homogeneous isotropic elastic half-space solid whose surface is subjected to a Mode-I crack problem. The problem is in the context of the Green and Naghdi theory (GN). The normal mode analysis is used to obtain the exact expressions for the displacement ...

h this paper, we use a generalized Fourier series to approximate the solution of a boundary value problem describing the torsion of an elliptic micropolar beam. We provide an example demonstrating the effect of material microstructure. @ 2004 Elsevier Ltd. All rights reserved. Keywords-Linear micropolar elasticity, Generalized Fourier series, Torsion, Material microstructure.

We numerically investigate the pulsatile flow and heat transfer of a micropolar fluid through a Darcy-Forchhmeir porous channel in the presence of wall transpiration. We use the central difference approximations for the spatial derivatives, whereas the time integration has been performed by employing the three steps explicit Runge-Kutta method to obtain the numerical solution. It i...

Abstract. Motivated by lubrication problems, we consider a micropolar fluid flow in a 2D domain with a rough and free boundary. We assume that the thickness and the roughness are both of order 0 < ε << 1. We prove the existence and uniqueness of a solution of this problem for any value of ε and we establish some a priori estimates. Then we use the two-scale convergence technique to derive the l...