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Mathematical Model for Dynamic Adsorption with Immiscible Multiphase Flows in Three-dimensional Porous Media
AbstractIn this paper, we present the mathematical model describing the dynamic adsorption processes in three-dimensional porous media. The novelty...
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Percolation in Evolving Media
In the previous chapters, we described the applications of percolation theory to flow and transport in porous media. The phenomena that we described...
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Prediction of Temperature-Dependent Processes in Multicomponent Fluid Flow Through Porous Media
The research deals with the development of efficient tools for the simulation of thermal processes in porous media when flows of multiphase...
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Coupled Prediction of Flows in Domains Containing a Porous Medium and a Free Stream
AbstractThis study considers a model for coupled predictions of flows in domains containing a fluid-saturated porous medium and a free stream. The...
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Stability Analyses of Brinkman–Bénard Convection in Hybrid-Nanoliquid Saturated-Porous Medium Using Local Thermal Non-equilibrium Model
This paper carries out linear and weakly non-linear stability analyses of natural convection in a Newtonian hybrid-nanoliquid saturated porous...
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Dynamical responses of inclined heated channel of MHD dusty fluids through porous media
In this study, we analyze the unsteady laminar flow of two different layers of an incompressible, conducting Maxwell dusty fluids between two...
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Construction of an Analytical Solution of the Problem on the Formation of Gas Hydrate in a Porous Mine
In this paper, we propose the mathematical formulation of the problem on injection of a cold gas into a porous medium accompanied by the formation of...
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Probability density function (PDF) models for particle transport in porous media
Mathematical models based on probability density functions (PDF) have been extensively used in hydrology and subsurface flow problems, to describe...
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Mathematical and Computational Analysis of MHD Viscoelastic Fluid Flow and Heat Transfer Over Stretching Surface Embedded in a Saturated Porous Medium
The study of MHD flow and heat transfer over a stretching sheet in presence of saturated porous media with the effect of space and temperature...
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Effect of periodic heat transfer on the transient thermal behavior of a convective-radiative fully wet porous moving trapezoidal fin
A moving trapezoidal profiled convective-radiative porous longitudinal fin wetted in a single-phase fluid is considered in the current article. The...
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Entropy and Non-Fourier Flux on Hydro-magnetic Flow Among Nonlinearly Radiated Porous Micro Walls Filled with Blood-Based Different Shaped Ternary Nanoparticles
This research delves into the intricate dynamics of a pulsating hydromagnetic flow of a micropolar ternary hybrid nanofluid between two vertical...
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Influence of Numerical Diffusion on the Growth Rate of Viscous Fingers in the Numerical Implementation of the Peaceman Model by the Finite Volume Method
A numerical model of oil displacement by a mixture of water and polymer based on the Peaceman model is considered. Numerical experiments were carried...
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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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Two-Phase Three-Component Flow in Porous Media: Mathematical Modeling of Dispersion-Free Pressure Behavior
Multiphase multicomponent flow in porous media is modeled by a system of n c parabolic equations, where n c is the number of components. Problem...
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Chebyshev Spectral Collocation Method for Magneto Micro-Polar Convective Flow Through Vertical Porous Pipe Using Local Thermal Non-equilibrium Approach
The influence of thermal non-equilibrium condition on the mixed convective flow of a magneto-micro-polar fluid in a vertical pipe filled with porous...
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Numerical simulation of non-isothermal flow in oil reservoirs using a coprocessor and the OpenMP
The numerical simulation of the flow in oil reservoirs has become, over decades, a standard tool applied by the oil and gas industry to forecast the...
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Dynamics of Perturbations under Diffusion in a Porous Medium
AbstractWe consider the dynamics of finite perturbations of a plane phase transition surface in the problem of evaporation of a fluid inside a...
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An Effective Model for the Simulation of Transpiration Cooling
Transpiration cooling is numerically investigated, where a cooling gas is injected through a carbon composite material into a hot gas channel. To...
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A Multidimensional Computational Model of Filtration Gas Combustion
We propose a two-temperature multidimensional computational model of filtration gas combustion. The model bases on the approximation of a system of...
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An Analytical Investigation of MHD Natural Convective Flow of a Polar Fluid in Two Vertical Concentric Cylinders with Hall Current and Heat Source
The current research has broad implications, especially in the fields of microfluidics and nanotechnology, where a better understanding of fluid...
