Begell House Inc.
Journal of Porous Media
JPM
1091-028X
20
9
2017
PRODUCTIVITY INDEX FOR DARCY AND PRE-/POST-DARCY FLOW (ANALYTICAL APPROACH)
769-786
10.1615/JPorMedia.v20.i9.10
Lidia
Bloshanskaya
Department of Mathematics, SUNY New Paltz, 1 Hawk Drive, New Paltz, NY 12561
Akif
Ibragimov
Department of Mathematics and Statistics, Texas Tech University, Broadway and Boston,
Lubbock, TX 79409-1042
Fahd
Siddiqui
Bob L. Herd Department of Petroleum Engineering, Texas Tech University, Box 43111,
Lubbock, TX 79409-3111
Mohamed Y.
Soliman
Bob L. Herd Department of Petroleum Engineering, Texas Tech University, Box 43111,
Lubbock, TX 79409-3111
non-Darcy
pre-Darcy
productivity index
Forchheimer flow
nonlinearity
post-Darcy
We investigate the impact of nonlinearity of high- and low-velocity flows on the well productivity index (PI). Experimental data show the departure from the linear Darcy relation for high and low velocities. High-velocity (post-Darcy) flow occurring near wells and fractures is described by Forchheimer equations and is relatively well-studied. While low-velocity flow receives much less attention, there is multiple evidence suggesting the existence of pre-Darcy effects for slow flows far away from the well. This flow is modeled via pre-Darcy equations.We combine all three flow regimes, pre-Darcy, Darcy, and post-Darcy, under one mathematical formulation subjected to certain critical transitional velocities. This allows one to use our previously developed framework to obtain the analytical formulas for the PI for the cylindrical reservoir. We study the impact of the non-Darcy effect on the PI depending on the well-flux and the parameters of the equations.
KNUDSEN'S PERMEABILITY CORRECTION FOR GAS FLOW IN TIGHT POROUS MEDIA USING THE R26 MOMENT METHOD
787-805
10.1615/JPorMedia.v20.i9.20
Yin-Bin
Lu
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power
Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
Gui-Hua
Tang
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power
Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
Q.
Sheng
MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power
Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
Xiao-Jun
Gu
Scientific Computing Department, STFC Daresbury Laboratory, Warrington WA4 4AD,
United Kingdom
David R.
Emerson
Scientific Computing Department, STFC Daresbury Laboratory, Warrington WA4 4AD,
United Kingdom
Y. H.
Zhang
Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, United Kingdom
gas rarefaction
apparent permeability
Klinkenberg effect
Knudsen number
Gas in microchannels and tight porous media is often in a nonequilibrium state. The conventional thermodynamic
models for fluid flow and heat transfer fail, i.e., the classical Navier-Stokes-Fourier equations, are no longer accurate or valid. In this situation, the pressure-driven gas flows in parallel microchannels, circular micropipes, and tight porous media are solved based on the regularized 26 moment equations in this paper. A higher-order approximation of more general correlation for rarefied gas flow called higher-order Knudsen's permeability is presented in both microchannels and tight porous media. In addition, the Klinkenberg's first- and second-order equations are proposed according to Taylor series' expansion of higher-order Knudsen's permeability. The comparisons are implemented between the present model and available experimental data.
STOKES FLOW OVER A NON-NEWTONIAN ENCAPSULATED DROP OF ANOTHER LIQUID: EFFECT OF STRESS JUMP
807-821
10.1615/JPorMedia.v20.i9.30
Bharat Raj
Jaiswal
Department of Mathematics, AKS University, Satna 485001, M.P., India
Bali Ram
Gupta
Department of Mathematics, JaypeeUniversity of Engineering and Tech., Guna 473226, M. P., India.
Reiner-Rivlin fluid
Brinkman equation
Stokes flow
drag force
stress jump coefficient
streamlines
The translational motion of an incompressible viscous fluid over a composite sphere, consisting of a liquid core enveloped by a porous shell, is sought using the stress jump boundary condition (Oacha-Tapia) for tangential stress at
the liquid-porous interface together with the continuity of velocity and normal stress components. The flow outside
the porous shell (Region I) is governed by the Stokes' equation, inside the porous region (Region II) by the Brinkman equation, and within the non-Newtonian liquid sphere, the stream function is obtained by expanding it in a power series of S, characterizing the cross-viscosity of a Reiner-Rivlin fluid. The effect of stress jump coefficient β on the flow field has been studied analytically. The drag exerted by the fluid on the encapsulated drop is calculated and represented graphically with respect to permeability (k), cross-viscous parameter (S), and relative viscosity (λ). It is found that the effect of stress has a dual nature on drag force for varying β. It is also noticed that permeability of the porous shell decreases the drag on the body. Flow patterns have also been displayed through streamlines for diverse values of different parameters. Some earlier useful results have been also deduced from the ongoing study.
THE EFFECT OF INLET CONDITION ON THE COMBUSTION IN A POROUS–FREE FLAME BURNER
823-839
10.1615/JPorMedia.v20.i9.40
Seyed Abdolmehdi
Hashemi
Department of Mechanical Engineering, University of Kashan, Kashan, Iran; Energy Research Institute, University of Kashan, Kashan, Iran
Majid
Nikfar
Department of Mechanical Engineering, University of Kashan, Kashan, Iran; Energy Research Institute, University of Kashan, Kashan, Iran; Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran
free flame
numerical simulation
burner
porous medium
experimental test
Premixed combustion in "porous" and novel "porous–free flame" burners are studied using numerical simulations
in an axisymmetric combustion chamber. The porous medium is perforated along the axis to create a combination
of a free flame and porous burner. The governing equations are solved using the finite volume numerical method.
A reduced chemical mechanism and a realizable k-ε turbulence model are used for simulation. In order to validate the numerical results, both burners have been constructed and tested. The obtained numerical results showed a good agreement with the experimental data. The numerical results showed that the flame of the porous–free flame burner has a greater stability limit than that of the porous burner. The effect of the inlet condition is studied so that with increasing equivalence ratio, the lower stability limit always increases, but the upper stability limit first increases and then decreases. The maximum upper limit of stability is obtained in the equivalence ratio of 0.9. The effect of change in temperature of the inlet mixture (300, 450, and 600 K) on flame location and flame stability limit is investigated. It is observed that the flame stability limit increases with increasing inlet mixture temperature.
FINITE ELEMENT ANALYSIS OF THE HYDROMAGNETIC PERISTALTIC FLOW IN A POROUS-SATURATED CHANNEL AT MODERATE REYNOLDS NUMBERS
841-857
10.1615/JPorMedia.v20.i9.50
Tariq
Javed
Department of Mathematics and Statistics, Faculty of Basic and Applied Science, International
Islamic University, Islamabad 44000, Pakistan
Bilal
Ahmed
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000,
Pakistan
Nasir
Ali
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Abdul Haleem
Hamid
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
finite element method
peristaltic flow
porous medium
hydromagnetic flow
The aim of this study is to investigate the nonlinear peristaltic flow through a channel filled with a homogeneous
porous medium in the presence of a uniform magnetic field. The problem is modeled in terms of a system of nonlinear
partial differential equations. The finite element method based on the Galerkin-variational approach is employed for
the solution of the governing system. The present analysis is carried out without imposing long-wavelength and low
Reynolds number assumptions and thus it is valid for arbitrary values of wave and Reynolds numbers. The influence of these numbers on various features of peristaltic motion is illustrated graphically and discussed in detail. The obtained results are also compared with previous results available in the literature.
SPECIFIC HEAT CAPACITY OF WATER-SILICA GEL ADSORBED PHASE
859-863
10.1615/JPorMedia.v20.i9.60
Joselma A.
Amorim
Federal University of Paraiba, Campus Universitário, João Pessoa PB, Brazil
I. C. A.
Brito
Federal Institute of Education, Science, and Technology of Ceará, Campus Cedro, Mechatronics
Department, Ceará, Brazil
H. M.
Vieira
Federal University of Paraiba, Campus Universitário, João Pessoa PB, Brazil
P. J.
Vodianitskaia
Graduate Program in Mechanical Engineering, Federal University of Paraiba,
PPGEM/CT/UFPB, Campus Universitário, João Pessoa PB, Brazil
Jose Mauricio
Gurgel
Federal University of Paraiba, Campus Universitário, João Pessoa PB, Brazil
adsorption
adsorbed phase
specific heat capacity
silica gel
calorimetry
The importance of adsorption refrigeration and air conditioning technology is growing, as a response to the demand for more sustainable, low–carbon intensity technologies. These versatile systems work with heat from flat-plate solar collectors or waste heat at temperatures as low as 65°C. However, the market share of adsorption chillers is still a niche. Power density is one of the key factors to improve market penetration of such systems, allowing for smaller equipment at lower cost. Specific heat capacity is one of the determining factors of performance, affecting cycle dynamics and thermal performance, being related to the couple adsorbent-adsorbate. However, few experiments in the literature have considered real-size adsorptive beds and combined heat capacity of the adsorbed phase, as presented here. A scanning calorimetry technique is used to validate a representative mathematical model. The intensity of endothermal peaks is directly related to the ones related to the specific heat capacity of the adsorbed phase. The cp values for the range considered were lower than the cp values for the liquid phase but were closer to the liquid phase than to the vapor phase.