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Finite Element Method for One-Dimensional Darcy–Brinkman–Forchheimer Fluid Flow Model
In this chapter, we consider an efficient finite element discretization of a fully nonlinear, one-dimensional Darcy–Brinkman–Forchheimer fluid model....
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Darcy–Brinkman Flow
ModellingBrinkman fluid flow through porousPorous media is important in ground water movement, insulation, oil and gas recovery, catalytic...
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Wake Prediction in 3D Porous–Fluid Flows: A Numerical Study Using a Brinkman Penalization LBM Approach
The simulation of the wake past porous obstacles is numerically challenging because since it requires both an accurate model of the porous medium and...
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Stabilization estimates for the Brinkman–Forchheimer–Kelvin–Voigt equation backward in time
The final value value problem for the Brinkman–Forchheimer–Kelvin–Voigt equations is analysed for quadratic and cubic types of Forchheimer...
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Transient electrophoresis of a conducting cylindrical colloidal particle suspended in a Brinkman medium
The time-dependent electrophoresis of an infinitely cylindrical particle in an electrolyte solution, saturated in a charged porous medium after the...
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Analytical study of effective Navier-slip and Stokes–Brinkman coupling for a dual-scale flow in a narrow channel over/inside unidirectional fibrous porous media
We present analytic solutions for transverse flows of a Newtonian fluid within a narrow gap channel over/inside unidirectional fibrous porous media,...
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Compressible flow simulation with moving geometries using the Brinkman penalization in high-order Discontinuous Galerkin
In this work we investigate the Brinkman volume penalization technique in the context of a high-order Discontinous Galerkin method to...
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Critical Hydraulic Gradient of Pi** Erosion Under Free Flow and Seepage Flow Coupling Model
This paper proposes a coupling model for evaluating the occurrence of pi** erosion under free flow and seepage flow. The model employs the...
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Effect of anisotropy on the onset of convection in rotating bi-disperse Brinkman porous media
Thermal convection in a horizontally isotropic bi-disperse porous medium (BDPM) uniformly heated from below is analysed. The combined effects of...
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Effect of Magnetic Field on Couette Flow in a Fluid-Saturated Porous-Filled Duct Under the Local Thermal Non-equilibrium with Viscous Dissipation
In our present analysis, we explore the impact of the magnetic field on the Couette flowCouette flow occurring within a duct that contains a porous...
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Heat transfer effects on electro-magnetohydrodynamic Carreau fluid flow between two micro-parallel plates with Darcy–Brinkman–Forchheimer medium
This article deals with heat transfer analysis on the Electro-magnetohydrodynamic Carreau fluid flow through a pair of rectangular plates. A...
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Darcy, Forchheimer, Brinkman and Richards: classical hydromechanical equations and their significance in the light of the TPM
In hydromechanical applications, Darcy, Brinkman, Forchheimer and Richards equations play a central role when porous media flow under saturated and...
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Global dynamic modes of peristaltic-ciliary flow of a Phan–Thien–Tanner hybrid nanofluid model
In this paper, the tools of dynamical systems theory are applied to examine the streamline patterns and their local and global bifurcations for...
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Cree** flow of a couple stress fluid past a semipermeable spherical particle consisting of a solid core: magnetic field effect
The main goal of this research is to explore the influence of an external magnetic field and distinct permeability of the porous media on the flow of...
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Unsteady flow of a ternary hybrid nanofluid over an inclined flat plate when Ohmic heating and quadratic thermal radiation are significant: couple stress model with shape factor analysis
The investigation of the flow of pair stress fluid over an inclined flat plate has garnered considerable interest in recent times owing to its...
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Mathematical study on two-fluid model for flow of K–L fluid in a stenosed artery with porous wall
The present communication presents a theoretical study of blood flow through a stenotic artery with a porous wall comprising Brinkman and Darcy...
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A detailed introduction to density-based topology optimisation of fluid flow problems with implementation in MATLAB
This article presents a detailed introduction to density-based topology optimisation of fluid flow problems. The goal is to allow new students and...
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Velocity Slip and Temperature Jump in Homogeneous and Heterogeneous Porous Medium
In this article, we investigated the rarefied gaseous flow through a micro-tube channel filled with homogeneous and heterogeneous porous media. An...
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Numerical investigation on heat transfer of a nano-fluid saturated vertical composite porous channel packed between two fluid layers
This numerical study investigates the effect of internal heat on heat transfer in a nanofluid saturated vertical channel with a porous matrix layer...
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The Influence of Magnetic Effect in a Channel Partially Filled with Porous Material: A Numerical Investigation
This article examines how a magnetic field affects the flow through a porous channel that is only partly filled. The porous substance is inserted in...