Abstract— Explicit Finite-Difference method was used to obtain the solution of the system of the non-linear ordinary differential equations which transform from the non-linear partial differential equations. These equations describe the steady magneto-hydrodynamic flow of an oldroyd 6-constant non-Newtonian nano-fluid through a non-Darcy porous medium with heat and mass transfer. The numerical ...

In this paper, we use Stokes, Brinkman and Darcy equations to approximate the porous continuum media of ligament tissues respectively, simulate the flow field with FLUENT software, and study the shear stress on the cell surface due to the interstitial fluid flow. Since the Brinkman equation approaches Stokes equation well in high hydraulic permeability (k p) condition (k p ≥1.0×10(-8) m(2) in o...

Contact erosion is potentially initiated at the interface between two soil layers by a groundwater flow within the coarser material. Once eroded by the flow, particles from the finer soil are transported through the pores of the coarser layer. Fluvial dykes are often exposed to this phenomenon. Small-scale experiments, combining Refractive Index Matching medium, Planar Laser Induced Fluorescenc...

Effects of the bounding solid walls are examined numerically for slow flow over regular, square arrays of circular cylinders between two parallel plates. A local magnitude of the rate of entropy generation is used effectively to determine the flow region affected by the presence of the solid boundary. Computed axial pressure gradients are compared to the corresponding solution based on the Darc...

Abstract We present numerical simulations of post-Darcy flow in thin porous medium: one consisting staggered arrangements circular cylinders and random distribution bounded between walls. The span a range Reynolds numbers, 40 to 4000, where the pressure drop varies nonlinearly with average velocity, covering nonlinear laminar fully turbulent regime. results are compared those obtained by replac...

The resonant penetrative convection in a Brinkman–Forchheimer fluid interfacing with Darcy is considered. It our main purpose to study the continuous dependence of solution on changes heat source and Forchheimer coefficient.