Begell House Inc.
Journal of Porous Media
JPM
1091-028X
21
7
2018
CHARACTERIZATION OF THERMOPHYSICAL PROPERTIES OF SILICA GEL
577-588
10.1615/JPorMedia.v21.i7.10
Boutheina
Zallama
Université de Monastir, École Nationale d'Ingénieurs de Monastir,Laboratoire LESTE, Avenue Ibn El Jazzar 5019, Monastir, Tunisia
L.Z.
Ghedira
Université de Monastir, École Nationale d'Ingénieurs de Monastir, Laboratoire LESTE, Avenue Ibn El Jazzar 5019, Monastir, Tunisia
Sassi Ben
Nasrallah
Laboratoire d'Études des Systèmes Thermiques et Énergétiques, Ecole Nationale d'Ingénieurs
de Monastir, Monastir 5019 Tunisie
characterization
Rubin silica gel
thermal conductivity
thermal diffusivity
moisture content
thermophysical properties
In this work, an experimental characterization study of a granular porous media, i.e., Rubin silica gel, which is already
well known for its hygroscopic properties, is presented. A comparison of both dry and wet conditions is performed. For
this purpose, we will rather focus on the determination of the thermophysical properties of this media because there is a lack of studies in this field in the literature. The characterization has been experimentally done by using the method called "box". The thermal conductivity and the thermal diffusivity were measured and analyzed. The specific heat
capacity was determined by the measured thermal conductivity, the measured thermal diffusivity, and reported silica gel density for both states. The obtained results lead to a better comprehensive control of the media response regarding the heat flux imposed and will be used later in a simulation investigation of heat and mass transfer in a reactor filled
with silica gel.
COMBINED POROUS AND MAGNETIC EFFECTS ON SOME FUNDAMENTAL MOTIONS OF NEWTONIAN FLUIDS OVER AN INFINITE PLATE
589-605
10.1615/JPorMedia.v21.i7.20
Constantin
Fetecau
Academy of Romanian Scientists, Bucuresti 050094, Romania
Rahmat
Ellahi
Center for Modeling and Computer Simulation, Research Institute, King Fahd University of
Petroleum & Minerals, Dhahran-31261, Saudi Arabia; Department of Mathematics, Faculty of Basic and Applied Sciences, IIU, Islamabad, Pakistan
Masood
Khan
Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
Nehad Ali
Shah
Abdus Salam School of Mathematical Sciences GC, University Lahore, Pakistan
infinite plate
Newtonian fluids
new exact solutions
porous effects
General expressions for the dimensionless velocity and shear stress fields and the skin friction coefficient corresponding
to the motion due to a moving plate are used to provide new interesting solutions for the second problem of Stokes. As a novelty, the solutions corresponding to the motion induced by cosine oscillations of the plate reduce to the classical
solutions of Stokes' first problem if the frequency of the plate oscillations becomes or tends to zero. Porous and magnetic effects are taken into consideration and, for the first time in the literature, their combined influence is graphically underlined and discussed for some motions with engineering applications. As an application, exact solutions are developed for motions induced by an arbitrary time-dependent shear stress on the boundary. In both cases, characteristics of hydromagnetic motion of Newtonian fluids over an infinite plate embedded in a porous medium do not depend on magnetic and porous parameters independently and a two-parameter approach is superfluous or even misleading both
physically and computationally.
USING MULTICYCLE MERCURY INTRUSION POROSIMETRY TO INVESTIGATE HYSTERESIS PHENOMENON OF DIFFERENT POROUS MEDIA
607-622
10.1615/JPorMedia.2018017822
Zhiye
Gao
State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum,
Beijing 102249, China; Unconventional Natural Gas Institute, China University of Petroleum, Beijing, 102249, China
Qinhong
Hu
Department of Earth and Environmental Sciences, University of Texas at Arlington, Arlington, Texas 76019, USA
Shoichiro
Hamamoto
Department of Biological and Environmental Engineering, University of Tokyo, Tokyo,
113-8657, Japan
multicycle mercury intrusion
hysteresis
contact angle
ink-bottle pores
The intrusion-extrusion hysteresis phenomenon is commonly observed during mercury porosimetry analysis. A change
in contact angle between intrusion and extrusion processes, and the effect of ink-bottle pores, are generally considered
as the two main mechanisms of hysteresis. This work is to further investigate the hysteresis phenomenon for different
building materials (concrete and red brick) and natural rocks (shales, dolomite, tuff, and white chalk) using an approach
of multicycle mercury intrusion porosimetry. Different correction methods, including the modified Kloubek method
with variable constant and contact angle correction method, are used to account for the hysteresis phenomenon for
different types of porous media. For all shale samples with quite a number of nanosized pores (> 60% for pore-throats < 100 nm), our results show that they exhibit more complicated hysteresis than other porous media used in this
study, and the modified Kloubek method considering both variable contact angle and surface tension exhibits a better
correction than the contact angle correction method. Although for other porous media tested here, the contact angle
correction method could obtain an equivalent effect to the modified Kloubek method. In summary, multicycle mercury
intrusion porosimetry could help elucidate the effect of ink-bottle pores for pore size distribution analysis and evaluate
the effect of contact angle changes on the hysteresis phenomenon.
THE EFFECTS OF SUCTION ON FORCED CONVECTION BOUNDARY LAYER STAGNATION POINT SLIP FLOW IN A DARCY POROUS MEDIUM TOWARDS A SHRINKING SHEET WITH PRESENCE OF THERMAL RADIATION: A STABILITY ANALYSIS
623-636
10.1615/JPorMedia.2018019722
Shahirah Abu
Bakar
Department of Mathematics and Institute for Mathematical Research, Universiti Putra
Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Norihan Md.
Arifin
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Roslinda
Nazar
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
Fadzilah Md.
Ali
Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia; Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Norfifah
Bachok
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
Ioan
Pop
Department of Applied Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania
forced convection flow
Darcy porous medium
shrinking sheet
stability analysis
The stagnation-point flow in a Darcy porous medium toward a shrinking sheet with the presence of thermal radiation,
suction, velocity, and thermal slips is numerically studied. The partial differentiation equations have been transformed
into ordinary differentiation equations by a similarity transformation. Numerical results show the existence of dual
solutions in a certain range of the governing parameters. A stability analysis to identify which solutions are stable and
physically realizable by using the bvp4c solver implemented in Matlab has also been presented.
EFFECT OF MAGNETIC FIELDS ON THE MOTION OF POROUS PARTICLES FOR HAPPEL AND KUWABARA MODELS
637-664
10.1615/JPorMedia.v21.i7.50
El-Sayed Ibrahim
Saad
Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt; Department of Mathematics, Faculty of Science, Shaqra University, Dawadmi, Saudi Arabia
Brinkman and Stokes equations
unit cell models
magnetic field
Kozeny constant
The quasisteady axisymmetrical flow of an incompressible viscous fluid past an assemblage of porous spheres subject
to a uniform transverse magnetic field is analytically studied through the use of unit cell models. Both flows are also considered parallel and perpendicular to assemblages of porous circular cylinders-in-cell models under the effect of uniform magnetic fields. At the porous-medium/clear-fluid interface, the stress jump boundary condition for the tangential stresses along with continuity of normal stress and velocity components are employed. The flow inside the porous particleis governed by the Brinkman model and the flow in the fictitious envelope medium is governed by Stokes equations with different Hartman numbers in the flow regions. The analytical solutions for the hydrodynamic drag force exerted on the porous particle-in-cell models, the volume flow rate of fluid through the cylindrical regions, and the expressions of Kozeny constant are obtained for parallel and perpendicular flow. For various cases, the Kozeny constant is analyzed against the fractional void volume, the Hartmann numbers,the viscosity ratio, the stress jump
coefficient, and a coefficient that is proportional to the permeability of the porous region. Streamlines in and around the porous particle are constructed for the Happel and Kuwabara unit cell models at different values of relevant physical
parameters. In the limits of the motions of impermeable spheres and cylinders in the cell surface and near the cell surface with a small curvature, the numerical values of the Kozeny constant are in good agreement with the available values in the literature.
INTERACTION OF MASS FLUX CONDITION ON THREE DIMENSIONAL CASSON NANOFLUID SUBMERGED IN POROUS MEDIUM
665-677
10.1615/JPorMedia.2018019178
Zahid
Iqbal
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila 44700, Pakistan
Ehtsham
Azhar
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila, Pakistan 44000
Ehnber Naheed
Maraj
Department of Mathematics, Faculty of Sciences, HITEC University, Taxila 44700, Pakistan
porous medium
Casson fluid
convective mass transfer
bilinear stretching surface
numerical solutions
This communication reports study of three-dimensional Casson nanofluid in the presence of convective mass transfer
effects over a bilinear stretching surface. Furthermore, we study nonlinear stretching phenomena in the presence of
convective boundary conditions and a porous medium. The mathematical model is governed using Darcy law. Appropriate
transformations reduce nonlinear partial differential equations into ordinary differential equations. Moreover, influence of thermophoresis and Brownian motion in three-dimensional flow are discussed significantly. Effects of different emerging parameters on velocity, temperature, and Nusselt and Sherwood numbers are analyzed through graphs and tabulated values. Moreover, expression for the vertical component of velocity away from the stretching surface is presented and discussed physically. A comparison of the Nusselt number is made with previous limiting study.