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Physics of unsteady Couette flow in an anisotropic porous medium
Unsteady Couette flow between two parallel plates filled with anisotropic porous material is investigated. The flow is driven by the combined...
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Natural Convection Non-Newtonian EMHD Dissipative Flow Through a Microchannel Containing a Non-Darcy Porous Medium: Homotopy Perturbation Method Study
Non-Newtonian thermal processing in microchannel systems, is emerging as a major area of interest in modern thermal engineering. Motivated by these...
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Non-Newtonian Slippery Nanofluid Flow Due to a Stretching Sheet Through a Porous Medium with Heat Generation and Thermal Slip
The domains of engineering, electrical, and medicine all have a significant demand for nanofluids. Applications for nanofluid flow include electronic...
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Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified groups
In this paper, we prove a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear porous medium...
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Fluid injection through a line source into a wet porous medium
We consider a fluid solution that is injected through a horizontal line sink into an already saturated porous medium. The injected fluid is denser...
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Theoretical Study of Thermal and Mass Stratification Effects on MHD Nanofluid Past an Exponentially Accelerated Vertical Plate in a Porous Medium in Presence of Heat Source, Thermal Radiation and Chemical Reaction
This research work investigates the impacts of thermal and mass stratification on unsteady magnetohydrodynamic nanofluid moving through a vertical...
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Instability in Poiseuille flow in a porous medium with slip boundary conditions and uniform vertical throughflow effects
In this study, the effect of uniform vertical throughflow/crossflow on the instability of Poiseuille flow in a porous medium was investigated using...
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Competitive porous double diffusion with Korteweg stress
A model is developed to describe thermal convection in a mixture of fluids in a porous medium, where the layer is heated from below while...
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Characterization of Porous Media and Materials
One of the earliest and most fruitful applications of percolation theory has been to the problems involving porous materials and media. This is not...
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Improved regularity for the porous medium equation along zero level sets
In the present work we establish sharp regularity estimates for the solutions of the porous medium equation, along their zero level-sets. We work...
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Analytical assessments to model a flame propagation with a porous medium equation
The intention along this study is to provide an analytical approach to model a flame propagation formulated with a non-linear diffusion. The proposed...
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MHD Cattaneo–Christov Heat and Mass Fluxes with Nanofluid Flow in a Porous Medium between Dual Stretchable Rotating Disks
AbstractInvestigation of nanofluid flow, mass and heat transfer, and impact of thermal relaxation time parameter against temperature in porous...
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Waves of Different Geometries in a Porous Medium Saturated by a Three-Phase Fluid
AbstractWaves of different geometries (plane, cylindrical and spherical) in a porous medium saturated by a three-phase fluid: water, oil and gas is...
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Optimal Lumped Control of Moisture Transfer in Porous Media
The authors propose an algorithm for finding the optimal source capacity for the two-dimensional quasi-linear Richards equation in a rectangular...
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Flow in temporally and spatially varying porous media: a model for transport of interstitial fluid in the brain
Flow in a porous medium can be driven by the deformations of the boundaries of the porous domain. Such boundary deformations locally change the...
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Flow and Transport Properties of Porous Materials
As Chaps. 4 – 6 should have made it clear, one of the most...
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Magnetohydrodynamic Mixed Convection Flow in a Vertical Channel Filled with Porous Media
We report a linear instability mechanism of MHD mixed convection flow in a porous medium channel under a transverse magnetic field. The stability...