The quadratic and power laws are two typical formulations that can be used to extend the Darcy law to non-Darcy flows through porous media. Both laws are reformulated in the dimensionless form in this study. They are then evaluated by fitting to experimental data with specified variations in seepage velocity, which were specifically collected for a simplified ordered porous model. The results s...

Natural convection in a square enclosure having two wavy vertical walls is studied. An enclosure is filled with fluid-saturated porous media. A cavity is heated spatially on bottom wall while remaining walls are maintained at lower temperature. The objective of this study is to examine the flow field, temperature distribution and heat transfer inside the cavity when values of Darcy number, Rayl...

This investigation deals with the numerical simulation of entropy generation at mixed convection flow in a lid-driven saturated porous cavity submitted to a magnetic field. The magnetic field is applied in the direction that is normal to the cavity cross section. The governing equations, written in the Darcy–Brinkman–Forchheimer formulation, are solved using a numerical code based on the Contro...

Abstract The structural stability for the Forchheimer fluid interfacing with a Darcy in bounded region $\mathbb{R}^{3}$ R 3 was studied. We assumed that nonlinear governed by equations $\Omega _{1}$ Ω 1 , while _{...

Intrusion into fluid-grain mixtures can lead to very large stresses and surprising solid-like behavior. One important mechanism, captured by Darcy-Reynolds theory, involves a feedback effect between the expansion of granular material (Reynolds dilation) flow fluid through pores grains (Darcy flow). We build on prior work demonstrate effectiveness theory in capturing forces over wide range physi...

The two-field thermal conditions of local nonequilibrium (LTNE) were used to investigate linear stability convection in a liquid-saturated, porous layer via the extended Brinkman–Darcy model for different non-uniform basic gradients. critical values numerically computed by Galerkin method rigid isothermal boundaries. impact LTNE and forms temperature gradients on onset was examined. porosity mo...

stress waves contain useful information about the properties of porous materials; they can be recovered through different non-destructive testing methods such as crosswell, vertical seismic profile, borehole logging as well as sonic tests. in all these methods, it is crucial to assess the effects of frequency on wave attributes including velocity and intrinsic attenuation. the dependency of per...

The irregular morphology of single rock fracture significantly influences subsurface fluid flow and gives rise to a complex and unsteady flow state that typically cannot be appropriately described using simple laws. Yet the fluid flow in rough fractures of underground rock is poorly understood. Here we present a numerical method and experimental measurements to probe the effect of fracture roug...

The large amount of nanoscale pores in shale results in the inability to apply Darcy's law. Moreover, the gas adsorption of shale increases the complexity of pore size characterization and thus decreases the accuracy of flow regime estimation. In this study, an apparent permeability model, which describes the adsorptive gas flow behavior in shale by considering the effects of gas adsorption, st...