This paper deals with the theoretical investigation of the thermal instability of a thin layer of electrically conducting micropolar rotating fluid, heated from below in the presence of uniform vertical magnetic field in porous medium. A dispersion relation is obtained for a flat fluid layer, contained between two free boundaries using a linear stability analysis theory, and normal mode analysi...

Decay of the Kinetic and the Thermal Energy of Compressible Micropolar Fluids. We consider a heat conducting compressible micropolar fluid at rest and filling a closed stationary rigid container. We show that tim energy of arbitrary disturbances of the fluid eventually decays. Abnahme der kinetischcn und der thermischen Energie kompressibler mikropolarcr Fliissigkeiten. Betrachtet wird eine ruh...

A comprehensive study of thermal radiation on a steady two-dimensional laminar flow of a viscous incompressible electrically conducting micropolar fluid past a stretching surface embedded in a non-Darcian porous medium is analyzed numerically. The governing equations of momentum, angular momentum, and energy equations are solved numerically using RungeKutta fourth order method with shooting tec...

This paper deals with the unsteady free convection and mass transfer flow of micropolar fluid embedded in a porous media. The governing equations involve the fluid and micropolar velocities respectively, temperature and concentration fields. The effects of material parameters on the velocities, temperature and concentration are discussed. Perturbation method is used to obtain the solutions to t...

The problem of the unsteady peristaltic mechanism with heat and mass transfer of an incompressible micropolar non-Newtonian fluid in a two-dimensional channel. The flow includes the viscoelastic wall properties and micropolar fluid parameters using the equations of the fluid as well as of the deformable boundaries. A perturbation solution is obtained, which satisfies the momentum, angular momen...

An analysis is presented for the problem of the fully developed natural convection under the influence of micropolar fluid flow of heat and mass transfer in a vertical channel. Asymmetric temperature and convection boundary conditions are applied to the walls of the channel. Solutions of the coupled nonlinear governing equations are obtained for different values of the buoyancy ratio and variou...

The effect of temperature-dependent viscosity on heat transfer over a continuous moving surface with variable internal heat generation in micropolar fluids is studied. The fluid viscosity is assumed to vary as inverse linear function of temperature. The governing equations are transformed into dimensionless forms using the stream function and suitable variables then solved numerically using the...

A study of the steady flow of blood through a horizontally symmetric artery with mild stenosis is presented by considering blood as a micropolar fluid. The viscosity of blood is considered as radial coordinate dependent. The non-linear pressure equations governing the flow are solved numerically using finite difference technique. The effects of micropolar fluid parameters and hematocrit on axia...

ω(t, x) ∈ Rand b(t, x) ∈ R, and p(t, x) ∈ R denote, respectively, the microrotational velocity, the magnetic field, and the hydrostatic pressure. μ, χ, κ, γ, and ] are positive numbers associated with properties of the material: μ is the kinematic viscosity, χ is the vortex viscosity, κ and γ are spin viscosities, and 1/] is the magnetic Reynold. u 0 , ω 0 , and b 0 are initial data for the vel...

The paper presents an analytical solution for dispersion of a solute in the peristaltic motion of a micropolar fluid in the presence of both homogeneous and heterogeneous chemical reactions. The average effective dispersion coefficient has been found using Taylor’s limiting condition under long wavelength approximation. The effects of various relevant parameters on the average coefficient of di...