Abstract. We present a fully implicit, monolithic finite element solution scheme to efficiently solve the governing set of differential algebraic equations of incompressible poroelastodynamics. Thereby, we proceed from a two-dimensional, biphasic, saturated porous medium model with intrinsically coupled and incompressible solid and fluid constituents. Our approach, motivated by well-accepted CF...

In this paper, we study the stationary incompressible power law fluid flow in a thin porous medium. The media under consideration is bounded perforated 3D domain confined between two parallel plates, where distance plates very small. perforation consists an array solid cylinders, which connect perpendicular direction, distributed periodically with diameters of small size compared to period. For...

The paper is the study of the incompressible, two directional, steady elastico-viscous nonNewtonian fluid with porous walls. An analytic solution to the problem is obtained, using the homotopy perturbation method.

steady state natural convection of al2o3-water nanofluid inside a square cavity filled with a porous medium is investigated numerically. the temperatures of the two side walls of the cavity are maintained at th and tc, where tc has been considered as the reference condition. the top and the bottom horizontal walls have been considered to be insulated i.e., non-conducting and impermeable to mass...

In this work we consider weak solutions of the incompressible 2-D porous media equation. By using the approach of De Lellis-Székelyhidi we prove nonuniqueness for solutions in L∞ in space and time.

Understanding the flow of incompressible fluids through porous media plays a crucial role in many technological applications such as enhanced oil recovery and geological carbon-dioxide sequestration. Several natural and synthetic porous materials exhibit multiple pore-networks, and the classical Darcy equations are not adequate to describe the flow of fluids in these porous materials. Mathemati...

in this paper, the differential transform method and padé approximation (dtm-padé) is applied to obtain the approximate analytical solutions of the mhd flow and heat transfer of a nanofluid over a nonlinearly stretching permeable sheet in porous. the similarity solution is used to reduce the governing system of partial differential equations to a set of nonlinear ordinary differential equations...

A Computational model to solve the coupled transport equations with chemical reaction and phase change for a liquid droplet between two approaching porous or non-porous surfaces, is developed. The model is general therefore it can be applied to toxic chemicals (contact hazard), drug delivery through porous organs and membranes, combustion processes within porous material, and liquid movements i...

The unsteady flow and heat transfer in an incompressible laminar, electrically conducting and non-Newtonian fluid over a non-isothermal stretching sheet with the variation in the viscosity and thermal conductivity in a porous medium by the influence of an external transverse magnetic field have been obtained and studied numerically. By using similarity analysis the governing differential equati...