Begell House Inc.
Journal of Porous Media
JPM
1091-028X
9
8
2006
Steady Flow of an Oldroyd 8-Constant Fluid between Coaxial Cylinders in a Porous Medium
709-722
10.1615/JPorMedia.v9.i8.10
Masood
Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Muhammad
Sajid
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
M.
Ayub
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan
This communication investigates the flow of an Oldroyd 8-constant fluid between two infinite coaxial cylinders through a porous medium. The fluid is conducting under the action of transverse magnetic field. Both analytical and numerical solutions of the governing nonlinear problem are presented. The analysis for the analytical solution is carried out using the homotopy analysis method. The numerical solution of the governing nonlinear problem has been given by the finite difference method in combination with iterative scheme. Moreover, a comparison between analytical and numerical solutions is presented in the form of tables. Several limiting situations with their implications can be examined from the presented analysis.
Modeling of Reduced Water Flow through Concrete Caused by Crystallization Technology
723-730
10.1615/JPorMedia.v9.i8.20
Abdelaziz
Al-Khlaifat
Director of Prince Faisal Center for Dead Sea, Environmental and Energy Research; and Department of Chemical Engineering, Mutah University 61710, Jordan
Awni
Al-Otoom
Department of Chemical Engineering, Mutah University, Mutah 61710, Jordan
The ability of porous building materials to absorb and transport water has several consequences related to building physics. Conventional concrete simulation models often neglect some fundamental aspects of multiphase flow in porous media. Infiltration of water from the upper surface to the lower surface of the concrete member is a key process that is often neglected. In this study, we present a theory of infiltration through a porous media that is made of concrete in a one-dimensional space. Based on this theory, it is established that the rate of imbibition in a concrete mold is influenced by gravity, capillarity, and absolute permeability. The study showed that concrete with low permeability is more durable compared to one with higher permeability.
Transport and Deposition of Fine Mode Particles in Porous Filters
731-744
10.1615/JPorMedia.v9.i8.30
Antonio Ferreira
Miguel
Department of Physics, School of Sciences and
Technology, University of Evora, Institute of Earth Sciences (ICT) Pole of Evora,
Portugal
A. Heitor
Reis
Department of Physics, University of Évora, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal; and Évora Geophysics Centre, Apartado 94, 7002-554 Évora, Portugal
Transport and deposition of fine mode aerosol particles in porous filters was investigated analytically. The study was carried out by considering the transport of fine particles through the filter as a convective-dispersive phenomenon. Collector-particle and particle-particle interactions within the filter were considered while reentrainment of deposited particles was assumed to be negligible as compared to particle attachment. Based on these assumptions, transient equations that govern the amount of particles deposited within the filter, pressure drop through the filter, and the filter's permeability and performance are presented. The approach developed here confirms the significance of the Peclet number, the Sherwood number, and geometrical parameters on filtration processes. These results may be useful for filter design as well as for filtering operation monitoring.
Viscous Flow Past a Spherical Void in Porous Media: Effect of Stress Jump Boundary Condition
745-767
10.1615/JPorMedia.v9.i8.40
G. P. Raja
Sekhar
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302
M. K.
Partha
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India
P. V. S. N.
Murthy
Department of Mathematics, Indian Institute of Technology, Kharagpur, West Bengal, 721302, India
The effect of the spherical void of characteristic size R0 in porous media in an undisturbed uniform flow U∞ is investigated analytically. The flow inside the void is governed by Stokes equation, and the flow in the porous region is governed by Brinkman equation. The stress jump boundary condition proposed by Ochoa-Tapia and Whitaker (Int. J. Heat Mass Transfer, 38, pp. 2636−2655, 1995) for the tangential stresses at the porous liquid interface along with the continuity of velocity components and normal stress is used. The flow field is computed by matching the boundary conditions at the porous fluid interface. It is found that the effect of the void increases with the decrease of permeability. The effect of the stress jump coefficient and porosity on some of the physical quantities, such as volume flow coming inside the void, is analyzed.
Methane Sorption on Large-Pore MCM-41 in the Presence of Water
769-777
10.1615/JPorMedia.v9.i8.50
Xiu-Wu
Liu
High Pressure Adsorption Laboratory, School of Chemical Engineering and Technology, Tianjin 300072, China
Li
Zhou
High Pressure Adsorption Laboratory, School of Chemical Engineering and Technology, Tianjin 300072, China
Hua
Chang
High Pressure Adsorption Laboratory, School of Chemical Engineering and Technology, Tianjin 300072, China
Yan
Sun
High Pressure Adsorption Laboratory, School of Chemical Engineering and Technology, Tianjin 300072, China
Ya-Ping
Zhou
Department of Chemistry, Tianjin University, Tianjin 300072, China
An MCM-41 sample of pore size 10 nm in diameter was synthesized for the test of methane sorption in the presence of water. The highly ordered structure with narrow pore size distribution was confirmed with TEM, IR examinations and the adsorption data of nitrogen at 77 K. The sorption isotherms of methane were collected at 275 K in the dry MCM-41 sample and in the presence of water for a wide range pressures. Although there are differences in the pore size and polarity of the surface with activated carbon, MCM-41 also shows the enhancement of methane sorption in the presence of water. Compared to activated carbon, the large-pore MCM-41 shows an even larger enhancement effect. The sorption capacity increased by 2.40 times on MCM-41, while it increased by 1.63 times on active carbon. The inflection pressure of isotherms also decreased remarkably.
Hall Effects on Unsteady Motions of a Generalized Second-Grade Fluid through a Porous Medium
779-788
10.1615/JPorMedia.v9.i8.60
Sohail
Nadeem
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan
The purpose of this work is to investigate the effects of Hall current on five types of unsteady flows through a porous medium. These are, namely, the impulsive flow, flow caused by a constantly accelerated plate, flows induced by impulsive and constant pressure gradients, flows induced by plate motions, and flow generated by an oscillating rigid plate. A generalized second-grade model through a porous medium with the fractional calculus is considered. Exact analytical solutions of unsteady flows have been constructed by using discrete Laplace transform of fractional derivatives.
Rotating Disk Flow in a Porous Medium
789-798
10.1615/JPorMedia.v9.i8.70
Hazem Ali
Attia
Department of Mathematics, College of Science, Al-Qasseem University, P.O. Box 237, Buraidah 81999, Kingdom of Saudi Arabia; On leave from: Department of Engineering Mathematics and physics, Faculty of Engineering, El-Fayoum University, El-Fayoum, Egypt
In this paper, we present an asymptotic solution to a Navier-Stokes equation of the von Karman type for flow due to a rotating disk in a porous medium. The asymptotic solution is given in the limit as the porosity parameter β tends to zero. Straining of coordinates is used to remove secular terms and enable obtaining expressions that can be used to determine the coefficients of the expansions to any order. A comparison of the asymptotic solution with an exact numerical solution for the governing nonlinear differential equations is presented.
Resonance and Viscoelastic Poiseuille Flow in a Porous Medium
799-806
10.1615/JPorMedia.v9.i8.80
Muhammad Raheel
Mohyuddin
COMSATS Institute of Information Technology, Abbottabad, Pakistan; Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45195, Iran
In this note, the exact solution of the oscillatory Poiseuille flow of a viscoelastic fluid in a porous medium is investigated. For small radii of the pipe, the velocity enhancement and the resonance behavior are discussed both numerically and asymptotically for a small diameter of pipe. Approximate resonance frequencies and possible velocity enhancements are obtained and observed graphically.