Begell House Inc.
Journal of Porous Media
JPM
1091-028X
22
9
2019
MHD PERISTALTIC FLOW OF MICROPOLAR CASSON NANOFLUID THROUGH A POROUS MEDIUM BETWEEN TWO CO-AXIAL TUBES
1079-1093
10.1615/JPorMedia.2018025180
Mona A. A.
Mohamed
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy,
Cairo, 11757, Egypt
Mohamed Y.
Abou-zeid
Department of Mathematics, Faculty of Education, Ain Shams University, Heliopolis, Roxy,
Cairo, 11757, Egypt
magnetohydrodynamics (MHD)
micropolar
Casson fluid
peristaltic flow
nanoparticles phenomena
porous media
homotopy perturbation
An analysis was made of the MHD mixed convection peristaltic flow of a micropolar nanofluid obeying a non-Newtonian Casson model through a porous medium between two co-axial tubes. The governing partial differential equations were transformed into a set of nonlinear ordinary differential equations under the assumptions of long wavelength and low-Reynolds number approximations. A homotopy perturbation technique was performed to get analytical solutions for that system of equations. The behavior of the axial velocity, microrotation velocity, temperature, and nanoparticles distribution under the effect of various pertinent parameters to these distributions is discussed analytically and graphically. These significant results may help in understanding the mechanics of some complicated physiological flows.
A PENALIZATION METHOD TO TREAT THE INTERFACE BETWEEN A FREE-FLUID REGION AND A FIBROUS POROUS MEDIUM
1095-1107
10.1615/JPorMedia.2019025928
Nicola
Luminari
IMFT (Institut de Mécanique des Fluides de Toulouse), UMR 5502 CNRS/INPT-UPS,
Université de Toulouse, 2 allée du Pr. Camille Soula, Toulouse, France, F-31400
Giuseppe A.
Zampogna
IMFT (Institut de Mécanique des Fluides de Toulouse), UMR 5502 CNRS/INPT-UPS,
Université de Toulouse, 2 allée du Pr. Camille Soula, Toulouse, France, F-31400
Christophe
Airiau
IMFT (Institut de Mécanique des Fluides de Toulouse), UMR 5502 CNRS/INPT-UPS,
Université de Toulouse, 2 allée du Pr. Camille Soula, Toulouse, France, F-31400
Alessandro
Bottaro
DICCA, Università di Genova, 1 via Montallegro, Genova, Italy, 16145
porous media
apparent permeability
porous interface
cavity flow
The coupling between the flow through a fibrous porous medium and that in a free-fluid region is studied. The flow
dynamics inside the porous medium are described using the volume averaging method applied to the incompressible
Navier−Stokes equations in the laminar regime. The two different flow domains are coupled via a penalization method
that consists of varying the porous medium properties (porosity and permeability) continuously across the interface. This approach permits the use of the same set of the equations throughout the whole domain. The averaging method is validated against simulations which fully account for the presence of cylindrical fibers positioned at the bottom wall of a square driven cavity. Numerical experiments are carried out for two different Reynolds numbers, large enough to ensure that inertial effects inside the porous domain are not negligible. Good agreement is found when comparing the two approaches.
MHD PERISTALTIC FLOW OF A WALTER’S B FLUID WITH MILD STENOSIS THROUGH A POROUS MEDIUM IN AN ENDOSCOPE
1109-1130
10.1615/JPorMedia.2019025922
Nabil T. M.
El-dabe
Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
Doaa R.
Mostapha
Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
peristaltic flow
Walter's B model
magnetic field
stenosis
porous medium
heat transfer
In this work, the effects of partial slip and the magnetic field on peristaltic flow of an electrically conducting Walter's B fluid through a porous medium are discussed. The streaming is through a uniform and nonuniform annulus having
a mild stenosis. The influences of heat transfer and chemical reactions are taken into consideration. The governing equations of motion are scrutinized under the assumptions of long wavelength and low Reynolds number. The analytical solutions of these equations are given using the regular perturbation technique, which is based on a small wave number. The approximate analytical solutions of the pressure rise and friction force are estimated along a numerical integration. The effects of various physical parameters of the problem are discussed and illustrated graphically through a set of figures. It is found that the axial velocity decreases with an increase of the Hartmann number, Walter's B fluid parameters, and maximum height of stenosis. Also, it is observed that the temperature decreases with the increase of the Brickmann number. In addition, it is found that the concentration increases with the increase of the Soret number. Furthermore, the streamlines are graphically shown. It is observed that the size of the trapped bolus increases with the decreasing of the Hartmann number and with the increasing of the permeability parameter. The present study is very important in many medical applications, such as the gastric juice motion in the small intestine when an endoscope is
inserted through it.
LATTICE BOLTZMANN MODEL FOR UPSCALING OF FLOW IN HETEROGENEOUS POROUS MEDIA BASED ON DARCY'S LAW
1131-1139
10.1615/JPorMedia.2019023331
G. Z.
Liu
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
F. L.
Liu
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
M.
Li
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum
University, Chengdu, China
X.
Jin
Research Institute of Petroleum Exploration & Development, PetroChina, Beijing 100083,
China
W. F.
Lv
Research Institute of Petroleum Exploration & Development, PetroChina, Beijing 100083,
China
Q.
Liu
Research Institute of Petroleum Exploration & Development, PetroChina, Beijing 100083,
China
Moran
Wang
Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China
upscaling
effective permeability
LBM
heterogeneous porous media
The upscaling of flow in heterogeneous porous media from a fine scale, where the reservoir is described with geostatistical algorithms, to a coarse scale, where reservoir simulation is performed, is investigated in this study. Effective permeability of a two-dimensional heterogeneous permeability field is calculated by a lattice Boltzmann algorithm. Our algorithm and codes are validated by series and parallel modes. Results for a chessboard mesh show that our method solves the singularity problem naturally among grids with inhomogeneous permeability, with a higher numerical accuracy on coarse grids compared with commercial software. Therefore, this method has more promising applicability and prospects.
MODELING AND NUMERICAL SIMULATION OF HYDROMAGNETIC NATURAL CONVECTION CASSON FLUID FLOW WITH nTH-ORDER CHEMICAL REACTION AND NEWTONIAN HEATING IN POROUS MEDIUM
1141-1157
10.1615/JPorMedia.2019025699
Gauri Shanker
Seth
Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines),
Dhanbad-826004, India
A.
Bhattacharyya
Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand-826004, India
R.
Kumar
Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand-826004, India
Manoj Kumar
Mishra
VIT-AP University, Amaravati, Andhra Pradesh-522237, India
Casson fluid
Newtonian heating
natural convection
finite difference method
Numerical simulation of the Newtonian heating effect on unsteady magnetohydrodynamic (MHD) flow of Casson
fluid past a flat vertical plate has been carried out considering the impact of viscous dissipation, Joule heating, thermal diffusion, and nth order chemical reaction. The fluid flow in porous medium is induced due to non-torsional oscillations of the plate and the thermal and solutal buoyancy forces acting along the length of the plate. The governing flow equations are converted into dimensionless form using appropriate non-dimensional parameters and variables and then numerically solved by implementing implicit finite difference scheme of Crank–Nicolson type. Behavior of the flow characteristics under the actions of various regulatory flow parameters have been discussed with the help of graphs and tables. One of the important findings of this analysis includes that an intensification in the Newtonian heating effect causes a gradual downfall in the rate of heat transfer at the plate. The kind of investigation we have done here may find several industrial and medical applications such as in paper production, glass manufacturing, purification of crude oil,
and study of blood flow in the cardiovascular system, etc.
INVESTIGATION INTO THE WETTING KINETICS OF SMALL AND INHOMOGENEOUS POWDER COLUMNS VIA WEIGHT-GAIN MEASUREMENTS
1159-1175
10.1615/JPorMedia.2019021840
C.
Thomas
Institute of Physical Chemistry, Faculty of Chemistry and Physics, TU Bergakademie Freiberg,
Freiberg, Saxony, Germany
R.
Hüttl
Institute of Physical Chemistry, Faculty of Chemistry and Physics, TU Bergakademie Freiberg,
Freiberg, Saxony, Germany
Florian
Mertens
Institute of Physical Chemistry, Faculty of Chemistry and Physics, TU Bergakademie Freiberg,
Freiberg, Saxony, Germany
Lucas–Washburn equation
imbibition
geometric constant
contact mass
inhomogeneously packed powder column
The capillary rise of a probing liquid into a porous solid is generally followed either by measuring the height of the
advancing liquid front over time or by detecting the weight gain over time. To analyze such experimental data, it
is well-established to employ the Lucas–Washburn equation in order to access the capillary radius or the geometric
constant of a porous sample, which is the basis for contact angle calculation. However, in most cases the assumption of
a linear correlation between the squared meniscus height or the squared weight gain versus time is at least questionable
and many deviations from this ideal behavior were observed in the past. This work introduces two new data analysis
methods for wetting experiments derived from the differential Lucas–Washburn equation. Concerning the viscous flow regime of an ideal Newtonian liquid, our new approaches take the apparent contact mass automatically into account and offer a possibility to calculate the geometric constant of a porous sample more adequately than it was done in the past. Both of the new approaches have proven to provide the geometric constant correctly even in case of inhomogeneously
packed powder columns.
FLOW-THROUGH-SCREEN PRESSURE DROP MODEL FOR SCREEN CHANNEL LIQUID ACQUISITION DEVICES
1177-1195
10.1615/JPorMedia.2019025071
Samuel R.
Darr
Post-Doctoral Researcher, Department of Mechanical and Aerospace Engineering, University
of Florida, Gainesville, Florida 32611, USA
Jason W.
Hartwig
Cryogenic Research Engineer, NASA Glenn Research Center, Cleveland, Ohio 44135, USA
Jacob N.
Chung
Department of Mechanical and Aerospace Engineering, University of Florida,
Gainesville, Florida 32611, USA
liquid acquisition device
porous screen
flow-through-screen pressure drop
bubble point
cryogenic
Recent comparison of storable and cryogenic propellant data indicates that liquid acquisition device screen properties
may vary with temperature due to the thermal contraction of the screen when placed in a cryogenic liquid. This paper
presents theoretical analysis and steady-state finite element analysis simulations to determine the extent that each
screen property is temperature dependent. New, more accurate equations are developed to calculate the screen properties
used in the flow-through-screen (FTS) pressure drop model. Results show that the screen properties do not vary
significantly with temperature, with a maximum difference of 0.3% at liquid hydrogen temperatures. This indicates
that the current FTS pressure drop model is valid and does not require temperature-dependent screen properties, and
that the differences between simplified bubble point (BP) model and cryogenic BP data is strictly due to changes in
surface tension due to evaporation and condensation at the liquid–vapor interface.
MAGNETOHYDRODYNAMIC FLOW PAST A POROUS PLATE IN PRESENCE OF RAYLEIGH TYPE STREAMING EFFECT
1197-1206
10.1615/JPorMedia.2019026438
Fathimunnisa
Department of Mathematics, Amrita School of Engineering, Bengaluru, Amrita Vishwa
Vidyapeetham, India, 560035
Sirangala Ganesh
Rakesh
Department of Mechanical Engineering, Amrita School of Engineering, Bengaluru, Amrita
Vishwa Vidyapeetham, India, 560035
Neetu
Srivastava
Department of Mathematics, Amrita School of Engineering, Bengaluru, Amrita Vishwa
Vidyapeetham, India, 560035
boundary layer
acoustic streaming
porous
magnetic field
Invoking a suitable approximation method, we have analyzed the flow pattern generated due to the interaction of a
standing sound wave in the presence of a transverse magnetic field with a fluid which is slowly discharged from the
porous wall. Also, the superposition of a secondary flow field in the presence of a magnetic field and the velocity of discharge, ν0, affects the flow pattern. This problem is tackled by invoking the method of successive approximations with respect to the small quantity U0, the amplitude of velocity fluctuations in the sound wave. Notably, the impact of porous wall and magnetic field results in damping. It has been shown graphically that there will be no oscillations in
the velocity due to the presence of the magnetic field.