In this paper, the unsteady MHD Couette flow through a porous medium of viscous incompressible fluid bounded by two parallel plates under influence thermal radiation and chemical reaction is investigated. A uniform suction injection are applied perpendicular to while motion subjected time dependent pressure gradient. The transformed conservation equations solved analytically subject physically ...

The present paper analyzes the MHD effects on the steady free convective boundary layer flow of a viscous incompressible fluid over a linearly moving porous vertical semi-infinite plate with suction and viscous dissipation. The governing boundary layer equations are reduced to a two-point boundary value problem using similarity transformations. The resultant problem is solved numerically using ...

In this paper we consider nite element methods for a degenerate elliptic-parabolic partial diierential system which describes the ow of two incompressible, immiscible uids in porous media. Local mesh reenement techniques for solving this degenerate system are discussed. 1. TWO-PHASE FLOW EQUATIONS In this paper we consider nite element methods for the ow of two incompressible, immiscible uids i...

This work is devoted to the numerical simulation of an incompressible fluid through a porous interface, modeled as a macroscopic resistive interface term in the Stokes equations. We improve the results reported in [M2AN 42(6):961–990, 2008], by showing that the standard Pressure Stabilized PetrovGalerkin (PSPG) finite element method is stable, and optimally convergent, without the need for cont...

water alternating gas (wag) technique is used in the petroleum industry to inject carbon dioxide (co2) into underground formations either for sequestration or enhanced oil recovery (eor) processes. co2 injection causes reactions with formation brine or aquifer and produces carbonic acid, the acid dissolves calcite and changes flow behavior significantly. modeling and investigating effects of co...

The problem of magnetohydrodynamics (MHD) flow of a conducting, incompressible fluid due to non-coaxial rotations of a porous disk, executing oscillations in its own plane, and a fluid at infinity is considered in the presence of a uniform transverse magnetic field. The porous character of disk and the non-linearity of the fluid increase the order of the differential equation. The solutions for...

We consider the immiscible two phase mixture of water and hydrogen in a porous medium. The water phase is incompressible and the hydrogen phase is compressible. The hydrogen dissolves in the water. The flow is described by the system of non-linear evolution equations for the water saturation and the hydrogen pressure. Under nondegeneracy and slow oscillation assumptions on the diagonal coeffici...

We study the flow of an incompressible viscous fluid through a long tube with compliant walls. The flow is governed by a given time dependent pressure head difference. The Navier-Stokes equations for an incompressible viscous fluid are used to model the flow, and the Navier equations for a curved, linearly elastic membrane to model the wall. Employing the asymptotic techniques typically used in...

in this paper, the combined effect of suspended (fine dust) particles and rotation on the onset of thermosolutal convection in an elastico-viscous fluid in a porous medium is studied. for the porous medium, the brinkman model is employed and rivlin-ericksen model is used to characterize viscoelastic fluid. by applying normal mode analysis method, the dispersion relation has been derived and sol...

Stationary Problem I We consider a mapping, A : X 7→ Y , given explicitly by A(u) = Lu+ a(u, u, · ) + F (u, · ), where L : X 7→ X is an isomorphism. The structure of L is induced by a continuous, coercive bilinear form B(· , · ) on X ⊗X: 〈Lu, v〉 = B(u, v), B(u, u) ≥ c‖u‖. Charge Transport in anIncompressible Fluid Medium – p. 31/63 Abstract Stationary Problem I We consider a mapping, A : X 7→ Y...