The vertical throughflow effect is investigated on the onset of porous convection by considering a cubic density-temperature relationship and using Forchheimer-Darcy model. stability eigenvalue problem explained numerically Galerkin technique. Contrary to linear relationship, direction alters convection. dependent Péclet number found stabilize fluid motion against upflow be either stabilizing o...

The investigation of fluid flow in fractured rocks is a key issue underground engineering. Three sandstone specimens with different roughnesses were generated by Brazilian splitting, and the geometric morphology aperture distribution obtained three-dimensional scanning technology. Fractal dimension was introduced to characterize roughness fractures. Seepage experiments rough fractures conducted...

In the presented analysis, a heterogeneous diffusion is introduced to magnetohydrodynamics (MHD) Darcy–Forchheimer flow, leading an extended model. The introduction of generalized was proposed by Cohen and Murray study energy gradients in spatial structures. addition, Peletier Troy, on one side, Rottschäfer Doelman, other have general (of fourth-order derivative) oscillatory patterns close crit...

Dusty gas flow through isotropic porous media is considered. The equations governing dusty gas flow through free space are intrinsically averaged in order to derive a comprehensive model that describes flow of a dusty gas through porous media. The developed model is capable of describing flow of mixtures with non-uniform number density through variable porosity media, while taking into account ...

natural convective heat transfer of nano-fluid in porous media is present in many advanced engineering applications. in this work, this problem has been computationally simulated, using lbm. the configuration used includes a cold exterior region and hot interior cylinders with one-, two-, or three-cylinder arrangements. however, the effective area for heat transfer has been kept the same for al...

The present study deals with the Darcy–Brinkman–Forchheimer model for bioconvection-stratified nanofluid flow through a porous elastic surface. mathematical modeling MHD motile gyrotactic microorganisms is formulated under influence of an inclined magnetic field, Brownian motion, thermophoresis, viscous dissipation, Joule heating, and stratifi-cation. In addition, momentum equation using model....

A deep learning technique called Physics Informed Neural Networks (PINNs) is adapted to study steady groundwater flow in unconfined aquifers. This utilizes information from underlying physics represented the form of partial differential equations (PDEs) alongside data obtained physical observations. In this work, we consider Dupuit–Boussinesq equation, which based on Dupuit–Forchheimer approxim...

Permeability and inertial factor are the most relevant variables in Forchheimer equation. They important to estimate pressure drop when a fluid flow is passing through porous media. However, insect-proof screens field, existing models date still providing poor predictive accuracy, part due they based on 2D porosity of screens. This work provides novel for permeability factor, which developed fr...