The free surface flow of an Oldroyd-B viscoelastic fluid is considered, following [1]. When removing a term in the extra-stress constitutive relation, the description of an elastic incompressible solid is obtained, in Eulerian coordinates, with the velocity field as unknown, rather than the usual deformation field. Two simulations are proposed, a bouncing ball and an oscillating beam.

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...

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...