For several decades, attempts had been made by authors to develop models suitable for predicting the effects of Forchheimer flow on pressure transient in porous media. However, due complexity problem, they employed numerical and/or semi-analytical approach, which greatly affected accuracy and range applicability their results. Therefore, order increase applicability, a purely analytical approac...

I am interested in nonlinear partial differential equations and numerical methods. My work explores equations arising from many different areas of applied sciences such as engineering, fluid mechanics, and biology: especially the generalized Forchheimer equations and hyperbolic equations. In particular, our results on the stability and long time dynamics of solutions can be used to understand n...

In this paper, we consider the flow of fresh and saltwater in a saturated porous medium in order to describe the seawater intrusion. Starting from a formulation with constant densities respectively of fresh and saltwater, whose velocities are proportional to the gradient of pressure (Darcy’s law), we consider the formal asymptotic limit as the aspect ratio between the thickness and the horizont...

Darcy’s law has long been used to describe the flow in porous media. Despite progress that took place oil production industry research, it became clear there is a loss of pressure, especially area near wellbore region, where not applicable. For this reason, Forchheimer presented his equation 1910, he added new term dealing with pressure due inertial forces by introducing term, β coefficient, in...

Abstract—This work deals with the problem of MHD mixed convection in a completely porous and differentially heated vertical channel. The model of Darcy-Brinkman-Forchheimer with the Boussinesq approximation is adopted and the governing equations are solved by the finite volume method. The effects of magnetic field and buoyancy force intensities are given by the Hartmann and Richardson numbers r...

The main goal of the current research is to investigate numerical computation Ag/Al2O3 nanofluid over a Riga plate with injection/suction. energy equation formulated using Cattaneo–Christov heat flux, non-linear thermal radiation, and sink/source. leading equations are non-dimensionalized by employing suitable transformations, results achieved MATLAB bvp4c technique. fluctuations fluid flow tra...

The Forchheimer equation is widely used in studying non-Darcy flow. Non-Darcy flow coefficient β the generally thought to be positive, and there are few studies on negative values. In this work, we performed seepage tests sandstone samples with single, T-shaped, Y-shaped fractures under different confining pressures, water angles analyze nonlinear behaviors features of Forchheimer’s coefficient...

In this paper, the empirical equations that estimate hydraulic parameters for non-linear flow through coarse porous media are evaluated using a series of independent data collected in the laboratory. In this regard, three different relatively uniform soils ranging in size from 8.5 to 27.6 mm have been selected and three random samples drawn from each material. The physical characteristics such ...

Abstract This study explores the unsteady hybrid nanofluid (NF) flow consisting of cobalt ferrite (CoFe 2 O 4 ) and copper (Cu) nano particulates with natural convection due to an expanding surface implanted in a porous medium. The Cu CoFe nanoparticles (NPs) are added base fluid water synthesize NF. effects second-order velocity slip condition, chemical reaction, heat absorption/generation, te...

High-resolution X-ray computed tomography is employed to obtain the exact 3D geometrical configuration of porous anisotropic ceria applied in solar-driven thermochemical cycles for splitting H2O and CO2. The tomography data are, in turn, used in direct pore-level numerical simulations for determining the morphological and effective heat/mass transport properties of porous ceria, namely: porosit...