Begell House
Journal of Porous Media
Journal of Porous Media
1091-028X
14
11
2011
HEAT AND MASS TRANSFER FLOW IN AN ELECTRICALLY CONDUCTING FLUID OVER A PERMEABLE STRETCHING SHEET WITH OHMIC DISSIPATION
An analysis has been performed to study the combined effect of heat and mass transfer characteristics in an electrically conducting fluid over a permeable stretching sheet in the presence of Ohmic dissipation. The arising nonlinear coupled partial differential equations are reduced to a set of coupled nonlinear ordinary differential equations which are solved analytically by homotopy analysis method for two sets of prescribed boundary conditions, i.e., (1) the wall with prescribed second-order power law temperature and second-order power law concentration and (2) the wall with prescribed second-order power law heat flux and second-order power law mass flux. The effects of emerging physical parameters on the velocity, temperature and concentration profiles are interpreted. Numerical data for skin friction coefficient, Nusselt number, and Sherwood number have been tabulated for various values of the parameters. The results are compared with known numerical solutions from the literature in a limiting sense.
Tasawar
Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science,
King Abdulaziz University, Jeddah 21589, Saudi Arabia
MUHAMMAD
QASIM
COMSATS Institute of Information Technoogy,Islamabad-Pakistan
Zaheer
Abbas
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
S.
Mesloub
Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
951-962
2D SIMULATION OF DRAINAGE PERFORMANCE IN A STRATIFIED VERTICAL POROUS CHANNEL
A 2D numerical simulation of the drainage process in a stratified vertical porous channel is performed for different gas flow rates. The porous matrix consists of two cylindrical homogeneous layers of packed sand with different permeability, initially saturated with a wetting phase. The porosity and the permeability of each layer are assumed to be constant. Since the injected gas is provided through a small hole, the drainage process can be affected by the injection section for the same flow rate. The geometric parameters of the cylindrical core are analyzed as well. Some results show that the recovery can be improved by judicious distribution of the gas injection points. The thicknesses of the matrix layers affect significantly the saturation and the velocity profiles. The calculation shows instability for small flow rates, and convergence is not reached. This fact can be explained by the insufficient pressure of the injected gas, ensuring a positive capillary pressure in both strata.
Chakib
Seladji
Department of Mechanical Engineering, University Abou Bekr Belkaid, Tlemcen 13000, Algeria
963-974
EFFECT OF THIN FIN ON NON-DARCY BUOYANCY FLOW IN A SQUARE CAVITY FILLED WITH POROUS MEDIUM
A penalty finite element analysis is performed for a natural convection flow in a differentially heated square cavity filled with porous matrix with a solid thin fin attached at the hot left wall, whereas the horizontal walls are thermally insulated. A Darcy-Forchheimer model is used to predict the temperature field and the flow circulations in the porous medium, and it is assumed that the porosity of the medium is Φ = 0.4 and that the Forchheimer number is F = 0.011 throughout this study. The effect of the highly conductive fin of three different lengths Lp = 0.3, 0.5, 0.7, located at three different positions Sp = 0.25, 0.5, and 0.75, is examined for Da = 10−4, 10−3, and 10−5 with Ra = 106 and Pr = 0.7 and 10. It is identified that due to attaching the fin on the hot wall, the primary vortex is modified, and the modification depends on the fin's location and length. For Da = 10−3 and Pr = 0.7, it is observed that there is a counterclockwise secondary flow formation around the tip of the fin for Sp = 0.5 for all length Lp. Moreover, when Da = 10−2, the secondary circulation behavior has been observed for Sp = 0.25, and 0.75 and there is another circulation between the top wall and the fin that is separated from the primary circulation. However, these secondary circulation features are not observed for Pr = 10. The finâ€™s conductivity effects on the heat transfer rates are investigated through local Nusselt number and average Nusselt number as a function of fin length Lp. It is found that the average Nusselt number at the left wall decreases as the length of the fin increases for all locations. However, the rate of decrease of average Nusselt number becomes slower as the location of the fin moves from the bottom wall to the top wall.
M.
Sathiyamoorthy
Department of Mathematics, Government Thirumagal Mills College, Gudiyuatham-632 604, India;Department of Mathematics, SSN College of Engineering, Kalavakkam, Chennai 603110
S.
Narasimman
Department of Mathematics, SSN College of Engineering, Kalavakkam, Chennai 603110
975-988
SENSITIVITY STUDY ON STORAGE OF CO2 IN SALINE AQUIFER FORMATION WITH FRACTURE USING REACTIVE TRANSPORT RESERVOIR SIMULATOR RCB
Storage of CO2 in aquifers is the only full scale proven method for storage of CO2. The initial structure of a given reservoir changes dynamically with injection of CO2 due to mineral reactions, changes in pore, and possible consequences on geomechanical stability. We present in this paper a new reactive transport simulator with implicit geomechanical analysis for aquifer storage of CO2, code RetrasoCodeBright (RCB). The original software package has been extended to a capacity of analyzing dynamically coupled flow, geochemical reactions and geomechanical reservoir stability as consequence of CO2 injection in a given formation. A 2D hydro-geochemical-geomechanical problem with a fracture is set up to illustrate the modified RCB code. A limited sensitivity study on this model has been used to show the impact of key variables on important geochemical and geomechanical features. Some future extensions of the code are also briefly discussed. Work on some of these extensions is already in progress
Shunping
Liu
Department of Physics and Technology, University of Bergen, N-5007 Bergen, Norway
Lars A.
Lageide
Department of Physics and Technology, University of Bergen, N-5007 Bergen, Norway
Bjorn
Kvamme
Department of Physics and Technology, University of Bergen, N-5007 Bergen, Norway
989-1004
MAGNETOHYDRODYNAMIC BOUNDARY LAYER HEAT TRANSFER TO A STRETCHING SHEET INCLUDING VISCOUS DISSIPATION AND INTERNAL HEAT GENERATION IN A POROUS MEDIUM
An analysis has been presented to study heat transfer in the laminar boundary layer flow over a nonisothermal stretching sheet in the presence of a transverse magnetic field acting perpendicularly to the direction of fluid. Viscous dissipation and internal heat generation effects are considered. The governing momentum and energy equations are solved based on the method of successive approximations. Velocity, temperature, skin friction coefficient, and local Nusselt number are discussed for various values of surface mass transfer fω, Alfven velocity α, Darcy number Da, Prandtl number Pr, Eckert number Ec, heat generation coefficient Qo, and relaxation time parameter τo. Numerical results are given and illustrated graphically for the problem considered.
Mohamed
Abou-zeid
Egypt
1007-1018
AN ANALYTICAL STUDY OF DOUBLE DIFFUSIVE CONVECTION IN A POROUS MEDIUM SATURATED WITH COUPLE STRESS FLUID IN THE PRESENCE OF SORET EFFECT
The onset of double-diffusive convection in a couple stress fluid−saturated porous layer with Soret effect is studied using both linear and nonlinear stability analysis. The linear theory depends on normal mode technique, and nonlinear analysis depends on a minimal representation of double Fourier series. The effect of the Soret parameter, couple stress parameter, and solute Rayleigh number on the stationary, oscillatory, and finite amplitude convection is presented graphically. It is observed that the Soret coefficient enhances the instability of the system in stationary mode while stabilizes the system in the oscillatory and finite amplitude modes. The domain of nonlinear double-diffusive convection ensures the quantification of heat and mass transfer.
S . N.
Gaikwad
Department of Mathematics, Gulbarga University, Jnana Ganga, Gulbarga-585106, India
K. Rama
Prasad
Department of Mathematics, Gulbarga University, Jnana Ganga, Gulbarga 585 106, India
1019-1031
THERMOMICROPOLAR FLUID FLOW IN A POROUS CHANNEL WITH PERISTALSIS
In this paper, an analysis is presented to study the heat transfer characteristics of a micropolar fluid through an isotropic porous medium in a two-dimensional channel with rhythmically contracting walls. The flow analysis has been discussed under long-wavelength and low-Reynolds-number approximations. The closed-form solutions are obtained for velocity, microrotation component, heat transfer, and the stream function. Numerical computations have been carried out for the pressure rise per wavelength. The influence of various parameters of interest is seen through graphs of frictional forces, pumping, trapping phenomena, and temperature profiles.
Y. Abd
Elmaboud
Mathematics Department, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut,Egypt; Mathematics Department, Faculty of Science and Arts, Khulais, King Abdulaziz University(KAU), Saudi Arabia
1033-1045