Begell House Inc.
Special Topics & Reviews in Porous Media: An International Journal
STRPM
2151-4798
5
1
2014
MHD FLOW AND HEAT TRANSFER THROUGH NON-DARCY POROUS MEDIUM BOUNDED BETWEEN TWO PARALLEL PLATES WITH VISCOUS AND JOULE DISSIPATION
1-11
10.1615/SpecialTopicsRevPorousMedia.v5.i1.10
MUKESH
SHARMA
GURU JAMBHESHWAR UNIVERSITY OF SCIENCE & TECHNOLOGY, HISAR, HARYANA , INDIA
Kuldip
Singh
Department of Mathematics, Guru Jambheshwer University of Science & Technology, Hisar-125001 (Haryana), India
Ashok
Kumar
Department of Mathematics, Guru Jambheshwer University of Science & Technology, Hisar-125001 (Haryana), India
MHD
non-Darcy
Brinkman-Forchheimer
viscous dissipation
Joule dissipation
The steady magnetohydrodynamic (MHD) flow and heat transfer of electrically conducting viscous incompressible fluid through non-Darcian porous medium bounded between two horizontal infinite impermeable parallel plates is investigated for viscous and Joule dissipation effects. The Darcy−Brinkman−Forchheimer equation governing the motion of fluid is solved numerically using the differential transform method. The energy equation is solved numerically by the Rayleigh−Ritz method. The effects of the dimensionless physical parameters (i.e., the Forchheimer, Hartmann, Brinkman, and Darcy numbers and the effective viscosity) on flow and heat transfer profiles are discussed through graphs.
MHD FLOW AND HEAT TRANSFER OVER A NONLINEARLY STRETCHING SHEET IN POROUS MEDIUM FILLED WITH A NANOFLUID
13-25
10.1615/SpecialTopicsRevPorousMedia.v5.i1.20
Saeed
Dinarvand
Mechanical Engineering Department, Amirkabir University of Technology, 424 Hafez Avenue, Tehran, Iran
Sadegh
Khalili
Binghamton University
Reza
Hosseini
School of Mechanical Engineering, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Avenue, Tehran, Iran
Ebrahim
Damangir
Mechanical Engineering Department, Amirkabir University of Technology, 424 Hafez Avenue, Tehran, Iran
Iman Roohi
Dehkordi
Young Researchers and Elite Club, Saveh Branch, Islamic Azad University, Saveh, Iran
Ioan
Pop
Department of Applied Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania
nanofluid
nonlinear stretching sheet
prescribed temperature
magnetohydrodynamic
porous medium
In this article, the magnetohydrodynamic flow and heat transfer of a nanofluid over a nonlinearly stretching permeable sheet in porous medium is investigated numerically. The similarity solution is used to reduce the governing system of partial differential equations to a set of nonlinear ordinary differential equations which are then solved numerically using the fourth-order Runge−Kutta method with shooting technique. The stretching velocity of sheet is assumed to have a power-law variation with the horizontal distance along the plate. To investigate the influence of various pertinent parameters, graphical results for the local Nusselt number, skin friction coefficient, velocity profiles, and temperature profiles are presented for different values of the governing parameters for three types of nanoparticles, namely copper, alumina, and titania in the water-based fluid. It is found that the values of the skin friction coefficient and the Nusselt number increase with nonlinear velocity parameter n. Also, the Nusselt number is found to increase as temperature power-law exponent increases. Furthermore, it is found that permeability parameter of the medium has a greater effect on the flow and heat transfer of a nanofluid than the magnetic parameter.
VISCOUS DISSIPATION AND MAGNETIC FIELD EFFECTS IN A NON-DARCY POROUS MEDIUM SATURATED WITH A NANOFLUID UNDER CONVECTIVE BOUNDARY CONDITION
27-39
10.1615/SpecialTopicsRevPorousMedia.v5.i1.30
Ali J.
Chamkha
Faculty of Engineering, Kuwait College of Science and Technology, Doha District, Kuwait;
Center of Excellence in Desalination Technology, King Abdulaziz University, P.O. Box 80200,
Jeddah 21589, Saudi Arabia; Mechanical Engineering Department, Prince Sultan Endowment for Energy and
Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box
10021, Ras Al Khaimah, United Arab Emirates
Ahmed M.
Rashad
Department of Mathematics, Faculty of Science, Aswan University, Aswan, 81528, Egypt
Chetteti
RamReddy
Department of Mathematics, National Institute of Technology,Warangal-506004, India
P. V. S. N.
Murthy
Department of Mathematics, Indian Institute of Technology, Kharagpur, West Bengal, 721302, India
free convection
non-Darcy
nanofluid
magneto-hydrodynamics
viscous dissipation
convective boundary condition
This paper investigates the influence of viscous dissipation and magnetic field on natural convection from a vertical plate in a non-Darcy porous medium saturated with a nanofluid. In addition, a convective boundary condition is incorporated in the nanofluid model. A nonsimilarity transformation is used to reduce the mass, momentum, thermal energy, and the nanoparticle concentration equations into a set of nonlinear partial differential equations. The obtained equations are solved numerically by an accurate implicit finite-difference method. The accuracy of the numerical results is validated by a quantitative comparison of the heat transfer rates with previously published results for a special case and the results are found to be in good agreement. The effects of magnetic field, viscous dissipation, and non-Darcy and the convection parameters on the velocity, temperature, nanoparticle volume fraction, and heat and nanoparticle mass transfer rates are illustrated graphically.
SIMULTANEOUS CALCULATION OF PORE SIZE DISTRIBUTION, CAPILLARY PRESSURE, AND RELATIVE PERMEABILITY FROM INJECTION-FALL OFF-PRODUCTION TEST DATA
41-51
10.1615/SpecialTopicsRevPorousMedia.v5.i1.40
Behnam
Keshavarzi
Department of Chemical and Petroleum Engineering, Sharif University of Technology, Tehran, Iran; MAPSA E&P, MAPSA Co., Tehran, Iran
Saeid
Jamshidi
Associate Professor
Saeed
Salehi
Petroleum Engineering Department, University of Louisiana at Lafayette, LA 70504
well testing
optimization
capillary pressure relationship
relative permeability
pore size distribution
Weibull distribution function
This work concerns simultaneous determination of relative permeability, capillary pressure, pore size distribution (PSD), and residual oil saturation data by optimization of well testing data, and introduces a new capillary pressure relationship, based on the Weibull distribution function, for direct determination of the PSD function from capillary pressure parameters. Three consecutive injection, fall off, and production well tests are performed on a predefined synthetic reservoir through simulation, and an optimization algorithm is used to find the parameters of relative permeability and capillary pressure curves as well as the value of residual oil saturation. The PSD function is also determined from capillary pressure relationship parameters. The result shows successful application of an optimization technique using the well testing data for determination of relative permeability, capillary pressure, and PSD curves. Also, analysis of the well test scenarios shows that the three periods of injection, fall off, and production are required for generation of enough data for a successful optimization. The sensitivity analysis shows more sensitivity of objective function (OF) values for variations encountered with the water exponent in the relative permeability curve (m) and the C parameter of the capillary pressure relationship in comparison to the other parameters.
DETERMINATION OF OPTICAL, ELASTIC, AND ACOUSTICAL PROPERTIES OF POROUS SILICON AS A FUNCTION OF ANODIZATION CURRENT DENSITY
53-62
10.1615/SpecialTopicsRevPorousMedia.v5.i1.50
S.
Jothi
Department of Physics, Virudhunagar Hindu Nadars' Senthikumara Nadar College, Virudhunagar-626 001, Tamilnadu, India
J.
Pandiarajan
Department of Physics, Virudhunagar Hindu Nadars' Senthikumara Nadar College, Virudhunagar-626 001, Tamilnadu, India
V.
Lakshmipriya
Department of Physics, Virudhunagar Hindu Nadars' Senthikumara Nadar College, Virudhunagar-626 001, Tamilnadu, India
N.
Prithivikumaran
Department of Physics, Virudhunagar Hindu Nadars' Senthikumara Nadar College, Virudhunagar-626 001, Tamilnadu, India
B.
Natarajan
Department of Physics, Raja Duraisingam Government Arts College, Sivagangai-630 561, Tamilnadu, India
N.
Jeyakumaran
Department of Physics, Virudhunagar Hindu Nadars' Senthikumara Nadar College, Virudhunagar-626 001, Tamilnadu, India
porous silicon
photoluminescence
refractive index
elastic constants
acoustic parameters
Researchers have shown great interest in porous silicon due to the fact that it can be fabricated with specific material characteristics. The electrical, optical, chemical, and mechanical characteristics of the material can all be modified by changing parameters of the fabrication process. The porous silicon was prepared by electrochemical etching of p-type silicon wafer where the etchant consists of a mixture of hydrofluoric acid and ethanol with various anodization current densities and 10 min etching time. The bulk modulus, Young's modulus, propagation velocities of longitudinal and transverse waves, and elastic constants are investigated. The presently investigated numerical data are found to have, in general, good agreement with the available experiment data and other such theoretical values.
AN OSCILLATORY MHD CONVECTIVE FLOW IN A VERTICAL CHANNEL FILLED WITH POROUS MEDIUM WITH HALL AND THERMAL RADIATION EFFECTS
63-82
10.1615/SpecialTopicsRevPorousMedia.v5.i1.60
S.
Das
Department of Mathematics, University of Gour Banga, Malda 732 103, India
Rabindra N.
Jana
Department of Applied Mathematics, Vidyasagar University, Midnapore 721 102, India
Oluwole Daniel
Makinde
Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South
Africa
oscillatory MHD convective flow
Hall currents
vertical channel
Darcy number
Prandtl number
porous medium and heat transfer
An oscillatory unsteady MHD convective flow in a vertical channel filled with porous medium in the presence of Hall and thermal radiation effects have been studied. A magnetic field of uniform strength is applied perpendicular to the planes of the channel walls. The fluid is acted upon by a periodic variation of the pressure gradient in the vertically upward direction. The temperature of one of the channel walls is non-uniform and the temperature difference of the walls of the channel is high enough to induce heat transfer due to radiation. An exact analytical one dimensional transient solution of the problem is obtained in closed form. The velocity field, the fluid temperature, the rate of heat transfer and the shear stresses are shown graphically and discussed in detail. Graphical results for the Hall parameter reveal that it has significant influence on the velocity profiles. The radiation has a tendency to retard the fluid velocity components. Porosity of the medium has a tendency to enhance the fluid velocity components.
VOLUME-AVERAGING ISSUES ILLUSTRATED FOR POROUS-MEDIA THERMO-FLUID TRANSPORT
83-94
10.1615/SpecialTopicsRevPorousMedia.v5.i1.70
Faruk
Civan
Mewbourne School of Petroleum and Geological Engineering, The University of Oklahoma, 100 East Boyd, SEC Room 1210, Norman, Oklahoma, USA
thermo-fluid
transport
mass
momentum
energy
macroscopic equations
volume averaging
This paper discusses the various issues causing errors in the formulation of volume-averaged equations for porous-media thermo-fluid transport. Proper implementation of the ground rules of porous-media volume averaging of the microscopic transport equations is demonstrated for formulation of the macroscopic mass, momentum, and energy equations. Because the ground rules of conventional (standard) porous-media volume averaging have been defined based on a constant representative elementary volume of bulk porous media, first the formulation of the porous-media macroscopic transport equations are carried out in terms of the bulk-volume averages of the various quantities and their divergence or gradient before converting the resulting superficial bulk-volume average quantities to intrinsic phase-volume average quantities. An important error concerning the bulk-volume averaging of fluid-volume averages is corrected and other errors involved in the formulation of the porous conservation equations are explained. The present implementation of the volume-averaging rules is shown to lead to consistent formulations. The properly formulated macroscopic equations are applied for a single-phase incompressible fluid that is saturating a rigid porous-solid material under thermal equilibrium conditions, both having constant physical properties. The improved formulation reveals the significant implications of the errors in a previous approach.