Begell House Inc.
Journal of Porous Media
JPM
1091-028X
21
12
2018
DYNAMIC RESPONSE OF CORRUGATION AND RIGID BOUNDARY SURFACE ON LOVE-TYPE WAVE PROPAGATION IN ORTHOTROPIC LAYERED MEDIUM
1163-1176
10.1615/JPorMedia.2018028711
Pradeep K.
Saroj
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines),
Dhanbad-826004, India; Department of Earth System Sciences, Yonsei University, Seoul 120-749, South Korea
Sanjeev Anand
Sahu
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines),
Dhanbad-826004, India
Amares
Chattopadhyay
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines),
Dhanbad-826004, India
orthotropic medium
porosity
corrugation
rigid boundary
phase velocity
An analytical approach is applied to study the propagation of Love-type waves in an orthotropic substratum over a
porous half-space. A heterogeneous orthotropic layer is bonded to a porous half-space in such a way that the interface between these two elastic mediums is corrugated type. Methods of applied mathematics have been employed in dealing with the equation of motion to obtain the dispersion equation in closed form. The study focuses especially on the effect of corrugated type interface between two medium, along with porosity, heterogeneity, and initial stress, affect the velocity profile. The effects of corrugation and elastic parameters on the velocity profile of Love-type waves are discussed using graphical representation.
ANALYTICAL INVESTIGATION OF FORCED CONVECTION HEAT TRANSFER IN A FLAT-PLATE SOLAR COLLECTOR FILLED WITH A POROUS MEDIUM BY CONSIDERING RADIATION EFFECT
1177-1195
10.1615/JPorMedia.2018028768
H. Javaniyan
Jouybari
Department of Mechanical Engineering, Semnan University, Semnan, Iran
Seyfolah
Saedodin
Department of Mechanical Engineering, Semnan University, Semnan, Iran
Seyed Amir Hossein
Zamzamian
Solar Energy Group, Energy Department, Materials and Energy Research Center (MERC),
Karaj, Iran
Majid Eshagh
Nimvari
Faculty of Engineering, Amol University of Special Modern Technologies, Amol, Iran
porous medium
perturbation method
radiation to conduction parameter
porous shape parameter
collector efficiency factor
In the present study, heat transfer in a thin flat-plate solar collector with a fully saturated porous channel is investigated analytically by considering convection-radiation heat transfer. The fluid flow has been modeled by the Brinkman-Forchheimer extended Darcy model. The heat transfer equation has been solved analytically based on the perturbation method. The temperature profile and Nusselt number have been extracted and then the collector thermal performance has been analyzed for the first time. The results show that, although the radiation and porous shape parameters have considerable effects on the Nusselt number and collector thermal performance, the effect of radiation is more noteworthy than the porous shape parameter. The Nusselt number increases up to two times with an increase in the radiation parameter. In order to establish a balance between the pressure drop increase and heat transfer improvement due to porous matrix, these parameters were evaluated simultaneously. It is observed that the change in the flow pressure drop is negligible in small values of porous shape parameter.
DARCY-FORCHHEIMER MHD COUPLE STRESS LIQUID FLOW BY OSCILLATORY STRETCHED SHEET WITH THERMOPHORESIS AND HEAT GENERATION/ABSORPTION
1197-1213
10.1615/JPorMedia.2018029010
Sami Ullah
Khan
Department of Mathematics, COMSATS University Islamabad Sahiwal Campus, Sahiwal
57000, Pakistan
Sabir Ali
Shehzad
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
Nasir
Ali
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
couple stress fluid
thermophoresis
heat generation/absorption
oscillatory stretched sheet
porous medium
This article presents the analysis of magnetohydrodynamic couple stress liquid flow under the aspects of thermophoresis, heat absorption or generation, and chemical reaction. Here the sheet is assumed to be oscillatory which stretched forth and back periodically. Moreover, the flow through saturated porous media has been examined using the Darcy-Forchheimer model. The highly nonlinear partial differential equations arise in the present study by the reduction of independent variables. The series of solutions expressions are computed by a homotopic algorithm. An extensive analysis is performed for the impact of involved constraints on liquid temperature, velocity, and concentration profiles.
INFLUENCE OF VARIABLE PERMEABILITY ON FREE CONVECTION FLOW ALONG A CONVECTIVELY HEATED VERTICAL SURFACE IN A SATURATED POROUS MEDIUM
1215-1228
10.1615/JPorMedia.2018028709
Ammarah
Raees
Institute of Refrigeration and Cryogenics, Shanghai Jiao Tong University, Shanghai 200240,
China
R. Z.
Wang
Institute of Refrigeration and Cryogenics, Shanghai Jiao Tong University, Shanghai 200240,
China
Hang
Xu
Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), State
Key Lab of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering,
Shanghai Jiao Tong University, Shanghai 200240, China
Darcy porous medium
variable permeability
convective boundary condition
similarity solutions
An investigation is made on convective heat transfer flow along a convectively heated vertical flat plate embedded
in a fluid-saturated porous medium. This analysis incorporates variable permeability, variable porosity, and variable thermal conductivity. Within the boundary layer theory and using the Darcy model, the flow in porous medium is described and similarity solutions are obtained numerically for the nondimensional governing equations. The gained numerical results are then used to graphically analyze fluid flow characteristics and local Nusselt number with the variation of permeability, porosity, and thermal conductivity. It is found that variation of permeability shows a significant influence on the heat transfer rate at the convectively heated surface. Moreover, expressions for overall surface heat flux and boundary layer thickness are obtained to further validate our conclusions. The obtained results are then used to study an application of a dike intruded in an aquifer.
NUMERICAL ANALYSIS OF LAMINAR HEAT TRANSFER AND FLUID FLOW IN A FLAT TUBE PARTIALLY FILLED WITH A POROUS MATERIAL
1229-1251
10.1615/JPorMedia.2018028754
Ehsan
Rezaei
Department of Mechanical Engineering, Amirkabir University of Technology (Tehran
Polytechnic), 424 Hafez Ave., P.O. Box 15875-4413, Tehran, Iran
Abbas
Abbassi
Department of Mechanical Engineering, Amirkabir University of Technology (Tehran
Polytechnic), 424 Hafez Ave., P.O. Box 15875-4413, Tehran, Iran
Hamed
Safikhani
Arak University, Department of Mechanical Engineering, Faculty of Engineering, Arak
38156-88349, Iran
porous media
flattened tube
partially filled
numerical
heat transfer analysis
This paper presents a three-dimensional numerical analysis to study the laminar heat transfer and flow characteristics
of a flat tube equipped with a porous layer at the core of the tube at constant heat flux boundary condition. The flow
regime and the wall boundary conditions are assumed laminar and with constant heat flux, respectively. The simulated
results are compared with previously published data, and good agreement is observed. The effects of different parameters such as tube flattening, porous layer thickness, and porosity on the thermal–hydraulic performance of a flat tube are discussed in detail. Then, the performance efficiency for three parameters is evaluated. Numerical results show that the addition of a porous layer and flattening of the tube enhances the heat transfer and pressure loss of fluid in all cases, and the highest performance efficiency for the flattened tube with a porous layer is 1.89, which is obtained for the porosity of 0.1, porous thickness of 0.75, and internal height of 4 mm at a highest Re number of 1900.
PERMEABILITY AND DIFFUSION COEFFICIENT PREDICTION OF FRACTAL POROUS MEDIA WITH NANOSCALE PORES FOR GAS TRANSPORT
1253-1263
10.1615/JPorMedia.2018028818
Ruifei
Wang
College of Petroleum Engineering, Xi'an Shiyou University, Xi'an, China
Hongqing
Song
College of Petroleum Engineering, Xi'an Shiyou University, Xi'an, China; School of Civil and Environmental Engineering, University of Science and Technology Beijing, China
Jiulong
Wang
School of Civil and Environmental Engineering, University of Science and Technology Beijing,
China
Yuhe
Wang
Department of Petroleum Engineering, Texas A&M University, Qatar
permeability
diffusion coefficient
fractal
nanoscale pores
gas transport
The gas mass transfer mechanism in nanoscale porous media, including convection and diffusion, is different from that
of conventional scale porous media. It is highly difficult to predict the permeability and diffusion coefficients in porous media with nanoscale pores while utilizing theoretical methods. A Menger sponge fractal model for permeability and a gas diffusion coefficient calculation in the nanoscale porous media is established. The results of a CT (Computed Tomography) scan and experiments exhibit good agreement with the present model, which can characterize the pore structure accurately and facilitate the gas permeability and diffusion coefficient prediction of nanoscale porous media. The results indicate that the greater the fractal dimension, the worse the connectivity of the pores and the smaller the permeability of the nanoscale porous media. In addition, the average pore diameter has a strong impact on permeability for nanoscale porous media. The standard chart is completed under various conditions of average pore diameter and pressure to check gas transport mechanisms for convenience. This study has provided new insight and theoretical basis for reservoir exploitation with nanoscale pores, such as shale gas reservoirs.
LATTICE BOLTZMANN SIMULATION OF FREE CONVECTION IN AN INCLINED OPEN-ENDED CAVITY PARTIALLY FILLED WITH FIBROUS POROUS MEDIA
1265-1281
10.1615/JPorMedia.2018028755
Alireza
Sanjari
Amirkabir University of Technology, Mechanical Engineering Department, Tehran, Iran
Mohammad
Abbaszadeh
Shiraz University, Mechanical Engineering Department, Shiraz, Iran
Abbas
Abbassi
Department of Mechanical Engineering, Amirkabir University of Technology (Tehran
Polytechnic), 424 Hafez Ave., P.O. Box 15875-4413, Tehran, Iran
natural convection
lattice Boltzmann method
fibrous porous media
open-ended cavity
pore-scale simulation
The present study deals with natural convection flow in an open-ended cavity partially filled with fibrous porous
media. The numerical investigations are performed using the lattice Boltzmann method. The considered porous media
are formed of random arrangements of square obstacles and simulated in pore scale. The effects of some dominant
variables, such as the Rayleigh number, angle of inclination, porosity, and eccentricity of the porous media on the flow field and the cavity heat transfer, are investigated. Results are reported in terms of isotherms, streamlines, and average Nusselt numbers. The numerical results obtained indicate that appropriate use of porous media can enhance the rate of heat transfer. Also, increasing the inclination angle at high Rayleigh number or decreasing the porosity at low Rayleigh number increases the average Nusselt number. Comprehensive discussions on the effectiveness of the porous cavity compared to a nonporous one, in different situations, are also provided.
MODELING THE NONLINEAR FLOW FOR A MULTIPLE-FRACTURED HORIZONTAL WELL WITH MULTIPLE FINITE-CONDUCTIVITY FRACTURES IN TRIPLE MEDIA CARBONATE RESERVOIR
1283-1305
10.1615/JPorMedia.2018028663
Yong
Wang
School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, China;
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum
University, Chengdu, Sichuan 610500, China
Chen
Zhang
School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, China
Tao
Chen
School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, China
Xin
Ma
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum
University, Chengdu, Sichuan 610500, China
acid fracture
multiple-fractured horizontal well
finite-conductivity fracture
transient
pressure analysis
triple-media carbonate reservoir
Because of the characteristics of carbonate reservoirs, horizontal well and acid fracturing have become a key technology for efficiently developing carbonate reservoirs. Establishing corresponding mathematical models and analyzing transient pressure behaviors of this type of well reservoir configuration can provide a better understanding of fluid flow patterns in formation as well as estimations of important parameters. A coupling mathematical model for a fractured horizontal well in a triple-media carbonate reservoir by conceptualizing vugs as spherical shapes is presented in this article, in which the finite conductivity of the acid fractures is taken into account. A semianalytical solution is obtained in the Laplace domain by using source function theory, Laplace transformation, discretization of fracture, and superposition principle. Analysis of transient pressure responses indicates that several characteristic flow periods of fractured horizontal wells in triple-media carbonate reservoirs can be identified. Parametric analysis shows that fracture
half-length, fracture number, and fracture spacing can significantly influence the transient pressure responses of
fractured horizontal wells in triple-media carbonate reservoirs. The model presented in this article can be applied to obtain important parameters pertinent to reservoir or fracture by type-curve matching, and it can also provide useful information for optimizing fracture parameters.