[PDF] Viscous Flow Through Porous Media eBook

Author : I. Pop
Publisher : Elsevier
Page : 469 pages
File Size : 42,60 MB
Release : 2002-06-20
Category : Technology & Engineering
ISBN : 0080543170

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Transport phenomena in porous media continues to be a field which attracts intensive research activity. This is primarily due to the fact that it plays an important and practical role in a large variety of diverse scientific applications. Transport Phenomena in Porous Media II covers a wide range of the engineering and technological applications, including both stable and unstable flows, heat and mass transfer, porosity, and turbulence. Transport Phenomena in Porous Media II is the second volume in a series emphasising the fundamentals and applications of research in porous media. It contains 16 interrelated chapters of controversial, and in some cases conflicting, research, over a wide range of topics. The first volume of this series, published in 1998, met with a very favourable reception. Transport Phenomena in Porous Media II maintains the original concept including a wide and diverse range of topics, whilst providing an up-to-date summary of recent research in the field by its leading practitioners.

Author : Philippe Charlez
Publisher : CRC Press
Page : 320 pages
File Size : 35,64 MB
Release : 1995-01-01
Category : Technology & Engineering
ISBN : 9789054106289

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This work presents the lecture notes of the 1994 Mechanics of Porous Media Summer School. Chapters cover theoretical basics, methods for measuring poroelastic coefficients, numerical implementation and applications.

Author : Alain P Bourgeat
Publisher : World Scientific
Page : 534 pages
File Size : 40,41 MB
Release : 1995-11-30
Category :
ISBN : 9814548391

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This proceedings volume contains contributions from leading scientists working on modelling and numerical simulation of flows through porous media and on mathematical analysis of the equations associated to the modelling. There is a number of contributions on rigorous results for stochastic media and for applications to numerical simulations. Modelling and simulation of environment and pollution are also subject of several papers. The published material herein gives an insight to the state of the art in the field with special attention for rigorous discussions and results.

Author : Sayer Obaid B. Alharbi
Publisher :
Page : 176 pages
File Size : 33,57 MB
Release : 2016
Category : Hydrodynamics
ISBN :

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In this work, we study the effects of variable viscosity and variable permeability on single-phase fluid flow through porous structures. This is accomplished by first deriving the equations governing fluid flow through porous structures in which porosity (hence permeability) is a function of position and viscosity of the fluid is pressure-dependent. The governing equations are derived using intrinsic volume averaging, and viscous effects are accounted for through Brinkman’s viscous shear term. When the Darcy resistance, Brinkman’s viscous shear effects and Lapwood’s macroscopic inertial terms are accounted for, the governing equation is known as the Darcy-Lapwood-Brinkman equation, and it governs the flow through a mushy zone undergoing rapid freezing, and is important in slurry transport. Three exact solutions to the Darcy-Lapwood-Brinkman equation with variable permeability are obtained in this work. Solutions are obtained for a given vorticity distribution, taken as a function of the streamfunction. Classification of the flow field is provided and comparison is made with the solutions obtained when permeability is constant. Interdependence of Reynolds number and the variable permeability is emphasized. Exact solutions are also obtained for this equation when the vorticity is proportional to the streamfunction, and a derivation of the permeability function that satisfies the governing equations is provided. The problem of laminar flow through a porous medium of variable permeability, behind a two-dimensional grid is considered in this work to further shed some light of the effects of permeability variations. Expressions for the permeability profiles are derived when the model equations are linearized and permeability is calculated at the stagnation points of the flow. Conditions on the parameters involved in the exact solution are analyzed and stated and the flow is classified and compared with the case of flow through constant permeability media. This work might be of interest in the stability analysis of flow through variable permeability media. In studying the effects of pressure-dependent viscosity on fluid flow, this work provided analysis involving viscosity stratification. Coupled parallel flow of fluids with viscosity stratification through two porous layers is initiated in this work. Conditions at the interface are discussed and appropriate viscosity stratification functions are selected in such a way that viscosity is highest at the bounding walls and decreases to reach its minimum at the interface. Velocity and shear stress at the interface are computed for different permeability and driving pressure gradient. Consideration is given to two-dimensional flow of a fluid with pressure-dependent viscosity through a variable permeability porous structure. Exact solutions are obtained for a Riabouchinsky type flow using a procedure that is based on an existing methodology that is implemented in the study of Navier-Stokes flow with pressure-dependent viscosity. Viscosity is considered proportional to fluid pressure due to the importance and uniqueness of validity of this type of relation in the study of Poiseuille flow. The effects of changing the proportionality constant on the pressure distribution are discussed. Since a variable permeability introduces an additional variable in the flow equations and renders the governing equations under-determined, the current work devises a methodology to determine the permeability function through satisfaction of a condition derived from the specified streamfunction. Illustrative examples are used to demonstrate how the variable permeability is determined, and how the arising parameters are determined. Although the current work considers flow in an infinite domain and does not handle a particular engineering problem, it nevertheless initiates the study of flow of fluids with pressure-dependent viscosity through variable-permeability media and sets the stage for future work in stability analysis of this type of flow. It is expected that the current work will be of value in transition layer analysis and the determination of variable permeability functions suitable for such analysis.

Author : Aroon Shenoy
Publisher : CRC Press
Page : 329 pages
File Size : 50,94 MB
Release : 2016-10-14
Category : Science
ISBN : 1498760996

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Convective Flow and Heat Transfer from Wavy Surfaces: Viscous Fluids, Porous Media, and Nanofluids addresses the wavy irregular surfaces in heat transfer devices. Fluid flow and heat transfer studies from wavy surfaces have received attention, since they add complexity and require special mathematical techniques. This book considers the flow and heat transfer characteristics from wavy surfaces, providing an understanding of convective behavioral changes.

Author : S. Succi
Publisher : Oxford University Press
Page : 308 pages
File Size : 29,53 MB
Release : 2001-06-28
Category : Mathematics
ISBN : 9780198503989

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Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.

Author : Rajeev Jha
Publisher : LAP Lambert Academic Publishing
Page : 152 pages
File Size : 47,92 MB
Release : 2012
Category :
ISBN : 9783659274060

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The paper entitled "FLOW PROBLEMS OF VISCOUS AND VISCO-ELASTIC FLUID THROUGH POROUS MEDIA WITH OR WITHOUT MAGNETIC EFFECTS" embodies the investigations carried out by me during the research work on the topic as approved by Dr. B.R.A. University, Agra. The aim of the present investigation is to critically analyse a number of flow problems of real fluids through porous media, magneto hydro dynamic flows and stratified flows connected with the recent topics would receive particular attention in this study. The whole work would be based on the following categories flows of viscous fluid through porous media, flows of visco-elastic fluids through porous channels, Physiological fluid through porous tubes, MHD flow in various situations, Flows of dusty fluids through porous media. Throughout the present work special attention has been paid to the basic assumption and formulation of the problems of fluid dynamics and various numerical & operational techniques have been employed to solve the differential equations.