In this paper, we propose an efficient numerical method for solving initial boundary value problem a coupled system of equations consisting nonlinear parabolic partial integro-differential equation and elliptic with term. This has important applied significance in petroleum engineering finds application modeling two-phase nonequilibrium fluid flows porous medium generalized law. The constructio...

An accurate and efficient simulator is developed for compressible flow porous media with wells. An Eulerian-Lagrangian localized adjoint method (ELLAM) is used to solve the transport partial differential equation for concentration, while a mixed finite element method (MFEM) is used to solve the pressure equation for the pressure and mass flow rate. The ELLAM-MFEM simulator symmetrizes the trans...

Abstract The analytical study of MHD oscillatory, unsteady, natural convective viscous incompressible dissipative flow through vertical channel filled with porous medium in the presence heat source effect and thermal radiation have been discussed. time-dependent equations scheme such as equation fluid motion transfer are derived solved by a suitable method. MATLAB software is used to plot figur...

This study investigates the temperature viscosity and Hall effects of a Casson fluid flow through porous medium viscous incompressible bounded by two parallel plates under influence thermal radiation chemical reaction. A uniform suction injection are applied perpendicular to while motion is subjected variable pressure gradient. The transformed conservation equations solved analytically subject ...

To simulate flows around solid obstacles of complex geometries, various immersed boundary methods had been developed. Their main advantage is the efficient implementation for stationary or moving solid boundaries of arbitrary complexity on fixed non-body conformal Cartesian grids. The Brinkman penalization method was proposed for incompressible viscous flows by penalizing the momentum equations...

Two phase flow in porous media is well known for its high importance in many of the industrial and engineering applications like petroleum reservoir, sedimentation process, water management in polymer electrolyte fuel cells, environmental remediation etc. By the two phase flow we mean the simultaneous flow of two fluids ( for instance oil and water) and a porous medium is a substance that conta...

<p style='text-indent:20px;'>We consider three-dimensional (3D) Boussinesq convection system of an incompressible fluid in a closed sample porous medium. Specifically, we introduce and analyze 3D Brinkman-Forchheimer-Bénard problem describing the behavior medium between two plates heated from bottom cooled top. We show existence uniqueness global in-time solutions, absorbing balls <inl...

The present study aim to study the effects of variable thermal conductivity and heat generation on flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field, thermal radiation, porous medium, mass transfer and variable free stream near a stagnation point on a non-conducting stretching sheet. The equations of continuity, momentum, energy ...