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...

Abstract This paper deals with the linear theory of thermoelastic Cosserat bodies. At beginning, we formulate mixed initial-boundary value problem in this context and obtain new theorems reciprocity thermodynamics these media. Then prove that relations imply uniqueness solution problem. Based on same reciprocal relations, establish a minimum variational principle, which generalizes those from c...

In this paper, the interaction between holes and electrons in semiconductor media is analyzed based on existing mathematical–physical model. The elasto-thermodiffusion (ETD) theory, according to photothermal (PT) transport processes, has been used study model under impact of non-Gaussian laser pulse. A one-dimensional (1D) electronic/thermoelastic deformation described, detail, by governing fie...