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Transmission probability of gas molecules through porous layers at Knudsen diffusion
Gas flow through layers of porous materials plays a crucial role in technical applications, geology, petrochemistry, and space sciences (e.g., fuel...
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On the thermal flow through a porous annular region
This paper reports the analytical results on the non-isothermal stationary fluid flow inside thin vertical annular region formed by two co-axial...
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Adequate viscosity-induced porous boundary layer flow and heat transfer over a permeable wedge
The present study examines the impact of effective viscosity and suction/injection on the two-dimensional boundary layer flow and heat transfer...
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Melting effect and Cattaneo-Christov heat flux in fourth-grade material flow through a Darcy-Forchheimer porous medium
The melting phenomenon in two-dimensional (2D) flow of fourth-grade material over a stretching surface is explored. The flow is created via a...
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Analysis of Dual Solutions in MHD Fluid Flow with Heat and Mass Transfer Past an Exponentially Shrinking/Stretching Surface in a Porous Medium
The present study examines the nature of dual solutions in hydromagnetic boundary layer flow a conducting fluid past an exponentially...
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Multiphase Fluid Flow in Porous Media
Two- and three-phase flows in porous media and materials constitute a set of important phenomena that occur in a wide variety contexts, from enhanced... -
Impact of Couple Stresses on Slow Rotation of a Slip Sphere: Brinkman’s Medium
The impact of couple stresses on the rotation of solid sphere in Brinkman’s model with slip influence is analytically solved. The tangential slip and...
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Characterization of synthetic porous media images by using fractal and multifractal analysis
Fractal and multifractal analysis of porous images allow the description of porous media through a scale-invariant understanding. There have been...
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Influences of First Order Slip and Heat Source/Sink on the Entropy Generation of MHD Micropolar Fluid Flow Through a Porous Medium
The present analysis is focused on the study of steady MHD micropolar fluid flow through a porous medium. Additional heat source, as well as sink, is...
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LTNE Effects in the Darcy-Bénard Instability in a Rotating Anisotropic Porous Layer Saturated with a Fluid of Variable Viscosity
The stability characteristics of an infinitely extended horizontal anisotropic porous layer saturated with a fluid of temperature-dependent viscosity... -
Lower-Dimensional Nonlinear Brinkman’s Law for Non-Newtonian Flows in a Thin Porous Medium
In this paper, we study the stationary incompressible power law fluid flow in a thin porous medium. The media under consideration is a bounded...
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A study of moisture content in unsaturated porous medium by using homotopy perturbation method (HPM) and variational iteration method (VIM)
Vertical infiltration of water plays an important role in the recharged of contaminated water and enhanced moisture content in the unsaturated porous...
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Numerical Scruitinization of Unsteady 3D Flow of Jeffrey Nanofluid with MHD in a Porous Medium
The main idea of this article is to examine the exact solutions of the unsteady 3D flow of Jeffrey nanofluid with Magnetohydrodynamic in a porous...
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Mathematical Modeling of the Processes of Convective Diffusion and Sorption in a Three-Layer Porous Body. I. Mass Transfer of Impurity Particles with a Porous Solution
We propose a mathematical model of convective diffusion of impurity particles accompanied by sorption processes in a body formed by three contacting...
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The Analytical Formulation GILTT Applied in a Model of Contaminant Transport in Porous Media
The present work intends to carry out a study of the one-dimensional mathematical model of the transport of contaminants in a sanitary landfill. For... -
Mixing and Dispersion in Flow Through Porous Media
In Chap. 7, we described and discussed flow and transport processes in porous media that involve only one fluid and one fluid phase. In the present... -
Controlling Chaos in 3D Porous Media in the Presence of Orientation Effect
AbstractThe influence of orientation on the control of chaotic behaviors of the system in a porous medium is studied in this article based on the...