Unsteady MHD Mixed Convection Flow of Chemically Reacting Micropolar Fluid between Porous Parallel Plates with Soret and Dufour Effects by Odelu Ojjela, N. Naresh Kumar

“…The objective of the present study is to investigate the first-order chemical reaction and Soret and Dufour effects on an incompressible MHD combined free and forced convection heat and mass transfer of a micropolar fluid through a porous medium between two parallel plates. Assume that there are a periodic injection and suction at the lower and upper plates. …”
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Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media by Piyush R. Mistry, Vikas H. Pradhan, Khyati R. Desai

“…Fingering phenomenon is a physical phenomenon which occurs when a fluid contained in a porous medium is displaced by another of lesser viscosity which frequently occurred in problems of petroleum technology. …”
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Numerical Validation of Analytical Estimates for Propagation of Thermal Waves Generated by Gas-Solid Combustion by Weslley da Silva Pereira, Grigori Chapiro

“…Using numerical simulation we show that they can be adapted and then applied to describe more general two-dimensional models for in situ combustion in a nonhomogeneous porous medium.…”
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Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects by Blessing O. Emerenini, Stefanie Sonner, Hermann J. Eberl

“…The governing equation for the sessile biomass comprises two non-linear diffusion effects, a degeneracy as in the porous medium equation and fast diffusion. This equation is coupled with three semi-linear diffusion-reaction equations for the concentrations of growth limiting nutrients, autoinducers, and dispersed cells. …”
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Numerical analysis of sodium diffusion in aluminum electrolysis cathode carbon blocks based on a microstructure multi-factor corrected model. by Chenglong Gong, Tianqi Xu, Huarong Qi, Yan Li

“…However, the microscopic structure is often underexplored. As a porous medium, the diffusion performance of cathode carbon blocks is closely tied to their internal pore structure. …”
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Permeability Properties of Jointed Rock with Periodic Partially Filled Fractures by Fei Ye, Jun-Chao Duan, Wen-Xi Fu, Xing-Yu Yuan

“…In this model, the clear fluid in fractures is governed by the Navier-Stokes equation, and the fluid both in the porous medium and rock matrix are subjected to the Brinkman-Extended Darcy equation. …”
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Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress by Nehad Ali Shah, A. Al-Zubaidi, S. Saleem

“…The effects of pulsatile pressure gradient in the presence of a transverse magnetic field on unsteady blood flow through an inclined tapered cylindrical tube of porous medium are discussed in this article. The fractional calculus technique is used to provide a mathematical model of blood flow with fractional derivatives. …”
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Modeling and Simulation of a Chemical Vapor Deposition by J. Geiser, M. Arab

“…To model the gaseous transport in the apparatus we employ mobile gas phase streams, immobile and mobile phases in a chamber that is filled with porous medium (plasma layers). Numerical methods are discussed to solve such multi-scale and multi phase models and to obtain qualitative results for the delicate multiphysical processes in the chamber. …”
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Heat Transfer in Boundary Layer Magneto-Micropolar Fluids with Temperature-Dependent Material Properties over a Stretching Sheet by Ephesus O. Fatunmbi, Samuel S. Okoya

“…The process of heat transfer in boundary layer magneto-micropolar fluid with temperature-dependent material properties past a flat stretching sheet in a porous medium is investigated in this study. Two distinct cases of boundary heating conditions are analyzed for the heat transfer in this work, viz., prescribed surface temperature (PST) and prescribed heat flux (PHF). …”
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Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: (m+1)th-Step Block Method by Oluwaseun Adeyeye, Zurni Omar

“…In addition, the suitability of the m+1th-step block method was displayed in the solution for magnetohydrodynamic squeezing flow in porous medium.…”
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A Laboratory‐Validated, Graph‐Based Flow and Transport Model for Naturally Fractured Media by Collin R. Sutton, Christopher Zahasky

“…Large graphs over‐describe a fracture plane and act similarly to a porous medium while small graphs oversimplify the solute transport behavior. …”
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Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model by Uma Bharti, Pramod Kumar Vaishnav, S.M. Abo-Dahab, Jamel Bouslimi, K.H. Mahmoud

“…To explore the influence of horizontally polarized shear waves on mountains, we considered the fluid-saturated porous medium (superficial layer) over an orthotropic semi-infinite medium with rigid (Model-I) and soft (Model-II) mountain surfaces for wave propagation. …”
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Thermal simulation of hybrid nanomaterial-assisted freezing in porous media by Ali Al Khabyah

“…Moreover, the inclusion of a porous medium significantly boosts thermal conduction, cutting freezing time by an impressive 67.48 %. …”
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Effects of Gravity and Inlet/Outlet Location on a Two-Phase Cocurrent Imbibition in Porous Media by M. F. El-Amin, Shuyu Sun

“…We introduce 2D numerical investigations of the problem of gravity and inlet/outlet location effects of water-oil two-phase cocurrent imbibition in a porous medium. Three different cases of side-, top-, and bottom-inlet location are considered. …”
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Numerical Analysis of Flow Field in Generator End-Winding Region by Wei Tong

“…This work succeeded in modeling a complex generator end-winding region with great efforts to simplify the model by treating the armature bar region as a porous medium. The flow and pressure fields at the end-winding region were investigated numerically using an axial symmetric computational fluid dynamics (CFD) model. …”
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Analytic Approximate Solutions for MHD Boundary-Layer Viscoelastic Fluid Flow over Continuously Moving Stretching Surface by Homotopy Analysis Method with Two Auxiliary Parameters by M. M. Rashidi, E. Momoniat, B. Rostami

“…In this study, a steady, incompressible, and laminar-free convective flow of a two-dimensional electrically conducting viscoelastic fluid over a moving stretching surface through a porous medium is considered. The boundary-layer equations are derived by considering Boussinesq and boundary-layer approximations. …”
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Analytical Solutions of Fractional Walter’s B Fluid with Applications by Qasem Al-Mdallal, Kashif Ali Abro, Ilyas Khan

“…Fractional Walter’s Liquid Model-B has been used in this work to study the combined analysis of heat and mass transfer together with magnetohydrodynamic (MHD) flow over a vertically oscillating plate embedded in a porous medium. A newly defined approach of Caputo-Fabrizio fractional derivative (CFFD) has been used in the mathematical formulation of the problem. …”
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Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method by Mubashir Qayyum, Imbsat Oscar

“…Due to importance of squeezing flow, in this paper, an unsteady squeezing flow of a viscous magnetohydrodynamic (MHD) fluid which is passing through porous medium has been modeled and analyzed with and without slip effects at the boundaries. …”
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Finite Element Analysis of Normal Pressure Hydrocephalus: Influence of CSF Content and Anisotropy in Permeability by K. Shahim, J.-M. Drezet, J.-F. Molinari, R. Sinkus, S. Momjian

“…The brain parenchyma is modelled as a porous medium fully saturated with cerebrospinal fluid (CSF) using Biot's theory of consolidation (1941). …”
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Effect of Activation Energy on Magnetized Couple Stress Fluid over an Inclined Stretching Permeable Cylinder by Suman Sharma, Shalini Jain

“…The objective of this research is to investigate the influence of activation energy on a magnetized couple stress fluid over an inclined stretching permeable cylinder in a non-Darcy porous medium. The effects of cross-diffusion and stratified mixed convection are also considered in fluid model. …”
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