Begell House Inc.
Special Topics & Reviews in Porous Media: An International Journal
STRPM
2151-4798
11
2
2020
SUITABILITY OF ROSSELAND APPROXIMATION FOR THERMAL RADIATION IN FLOW OVER ROTATING CONE EMBEDDED IN POROUS MEDIUM
103-118
10.1615/SpecialTopicsRevPorousMedia.2020028751
Muhammad Farooq
Iqbal
Centre for Advanced Studies in Pure and Applied Mathematics, (CASPAM), Bahauddin
Zakariya University, (BZU), Multan, 608000 Pakistan
Kashif
Ali
Department of Basic Sciences and Humanities, Muhammad Nawaz Sharif University of
Engineering and Technology, Multan, Pakistan
Shahzad
Ahmad
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya
University, Multan, Pakistan, 75500
Muhammad
Ashraf
Centre for Advanced Studies in Pure and Applied Mathematics (CASPAM), Bahauddin
Zakariya University, Multan 60000, Pakistan
magnetohydrodynamic (MHD)
cone
gyrotactic microorganisms
radiations
A study was made of the heat and mass transfer in magnetohydrodynamic Casson fluid flow over a vertical rotating cone embedded in a porous medium containing gyrotactic microorganisms. Linear and nonlinear approaches for the mathematical modelling of thermal radiation were compared. The linear form of thermal radiation gave qualitatively correct but quantitatively inaccurate results for the mass transfer, under various values of the Soret parameter. The magnetic field enhanced the heat and mass transfer rates, whereas the Soret parameter increased the concentration and the Dufour parameter enhanced the velocity and heat transfer rate.
MODELING OF LIQUID FILM CONDENSATION IN SATURATED POROUS MEDIUM USING FORCHHEIMER'S MODEL
119-131
10.1615/SpecialTopicsRevPorousMedia.2020030221
Ahmad Bani
Yaseen
Mechanical Engineering Department, Faculty of Engineering, The Hashemite University,
Zarqa, Jordan, 13133; School of Graduate Studies, The University of Jordan, Amman, Jordan, 11942
Hamzeh Mustafa
Duwairi
Mechanical Engineering Department, Faculty of Engineering and Technology, School of Engineering, University of Jordan, 11942
Amman, Jordan
laminar film condensation
porous media
Forchheimer model
convection heat transfer
The laminar film liquid condensation saturated in a porous medium is studied by using Forchheimer models, with and
without shear stress. The models are based on the classical analysis carried out by Nusselt. For both models, the closed
form expression is obtained for film thickness condensate, mass flow rate, convection heat transfer coefficient, local and
average Nusselt number. The results show different dimensionless film thickness for liquid and vapor layers, different velocity profiles, temperature profiles and Nusselt number, and show the effect of Grashof number and shear stress on the outer edge of liquid layer on the film thickness layer.
HEAT TRANSFER ANALYSIS OFMHD CNTS NANOFLUID FLOW OVER A STRETCHING SHEET
133-147
10.1615/SpecialTopicsRevPorousMedia.2020030647
S.R.R.
Reddy
Department of Mathematics, S.A.S., Vellore Institute of Technology, Vellore-632014, India
P. Bala Anki
Reddy
Department of Mathematics, S.A.S., Vellore Institute of Technology, Vellore-632014, India
Ali J.
Chamkha
Faculty of Engineering, Kuwait College of Science and Technology, Doha District, Kuwait;
Center of Excellence in Desalination Technology, King Abdulaziz University, P.O. Box 80200,
Jeddah 21589, Saudi Arabia; Mechanical Engineering Department, Prince Sultan Endowment for Energy and
Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box
10021, Ras Al Khaimah, United Arab Emirates
porous medium
aligned magnetic field
thermal radiation
heat generation/absorption
carbon nanotubes
slip model
This article is investigates the effect of aligned magnetic field flow and heat transfer of carbon nanotubes over a moving
extensible stretching surface through a porousmedium. Definitions of thermal radiation and heat generation/absorption
are utilized in the thermal expression. Carbon nanotubes (single-walled and multiwalled) and base fluids (seawater,
blood, and ethylene glycol) are used to explore the impacts of heat transfer characteristics. A similarity transformation
is used to transform the governing boundary layer coupled partial differential equations into a system of nonlinear
ordinary differential equations, which are explored numerically using the Runge−Kutta fourth-ordermethod along with
shooting procedure. The streamlines are closer to the surface wall when there are lower values of magnetic parameter
and porosity parameter. Strengthening the thermal radiation parameter value enhances the rate of heat transfer. A
comparative study between the formerly published results and the present results for a special case is found to be in
tremendous agreement.
FLOW PAST POROUS SPHERE COVERED WITH ANOTHER POROUS LAYER OF DIFFERENT PERMEABILITY
149-160
10.1615/SpecialTopicsRevPorousMedia.2020031001
Vineet Kumar
Verma
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India
Hariom
Verma
Department of Mathematics and Astronomy University of Lucknow, Lucknow, INDIA-226007
porous media
composite sphere
permeability
Brinkman model
Stokes flow
viscous flow
drag
In the present paper, we have studied the slow flow of liquid past a porous sphere covered with another porous layer
of different permeability. Flow in the clear region and porous sphere is governed by the Stokes equation and Brinkman
equation, respectively. An analytical solution of the problem is obtained by using the continuity of the velocity and
stress at the interface of the fluid and the porous region as a boundary condition. An exact solution of the problem is
obtained, and streamlines inside and outside the porous composite sphere, radial velocity, and the drag force are shown
in graphs for different values of the permeability parameters. The influence of various parameters such as permeability
on streamlines and drag force are discussed.
FLOW OF MICROPOLAR FLUID PAST A POROUS SPHERE EMBEDDED IN ANOTHER POROUS MEDIUM
161-175
10.1615/SpecialTopicsRevPorousMedia.2020030759
Pankaj
Shukla
Mathematics Division, School of Advanced Sciences, Vellore Institute of Technology, Chennai, Tamilnadu, 600127, Chennai, India
Krishnan
Ramalakshmi
Vellore Institute of Technology, Chennai, Tamilnadu, 600 127, India
Brinkman equation
micropolar parameter
coupling number
drag force
modified Bessel function
Gegenbauer function
The steady axisymmetric uniform flow of an incompressible micropolar fluid past a porous sphere embedded in another
porous medium has been studied analytically. The stream function solution for both the inner and outer flow field
is acquired by using the Brinkman equation. Explicit expressions are determined for both the flow fields by taking
the appropriate boundary conditions across the surface of the porous sphere. Furthermore, the non-dimensional drag
experienced by a porous sphere embedded in another porous medium of micropolar fluid is calculated. Effects of drag
force and shearing stress on permeability parameter, the viscosity ratio for the porous sphere is presented graphically
and numerically. Some special cases of flow past a porous sphere have been validated with earlier well-known cases.
HEAT AND RADIATION ABSORPTION EFFECTS ON CASSON NANOFLUID FLOW OVER A STRETCHING CYLINDER IN THE PRESENCE OF CHEMICAL REACTION THROUGH MATHEMATICAL MODELING
177-188
10.1615/SpecialTopicsRevPorousMedia.2020029260
Anupam
Bhandari
University of Petroleum and Energy Studies (UPES), Department of Mathematics, School of
Engineering, Energy Acres Building, Bidholi, Dehradun-248007, Uttarakhand, India
Pankaj Kumar
Mishra
University of Petroleum and Energy Studies (UPES), Department of Mathematics, School of
Engineering, Energy Acres Building, Bidholi, Dehradun-248007, Uttarakhand, India
magnetohydrodynamics
Casson nanofluid
shrinking cylinder
stretching cylinder
Heat absorption and radiation effects on the magnetohydrodynamic flow of Casson nanofluid over a shrinking and stretching cylinder in the presence of chemical reactions were investigated. Using similarity transformation, a set of
governing equations for velocity, heat transfer and concentration were converted to nonlinear-coupled differential equations in dimensionless form, which were then solved numerically through mathematical modeling in COMSOL. The
results for velocity, temperature, and concentration distributions are shown graphically for effects of the chemical reactions, radiation absorption, heat generation, curvature, buoyancy force due to temperature differences, Prandtl number,
and magnetic, suction, and Casson parameters. Some of the parameters play a dominant role in increasing/decreasing
heat and mass transfer, while some have negligible role in heat and mass transfer.
DOUBLE DIFFUSIVE NATURAL CONVECTION AND ENTROPY GENERATION THROUGH A TRAPEZOIDAL POROUS CAVITY
189-202
10.1615/SpecialTopicsRevPorousMedia.2020030589
Souad
Marzougui
Gabès University, Chemical and Process Engineering Department, Engineers National School
of Gabès, Applied Thermodynamics Unit, Omar Ibn El Khattab Street, 6029 Gabès, Tunisia
Ali
Mchirgui
Gabès University, Chemical and Process Engineering Department, Engineers National School
of Gabès, Applied Thermodynamics Unit, Omar Ibn El Khattab Street, 6029 Gabès, Tunisia
Mourad
Magherbi
Gabès University, Civil Engineering Department, Higher Institute of Applied Sciences and
Technology, Omar Ibn El Khattab Street, 6029 Gabès, Tunisia
trapezoidal porous cavity
heat and mass transfer
numerical method
entropy generation
The present paper provides a numerical investigation about heat and mass transfer and entropy generation in a trapezoidal
porous cavity saturated with a binary mixture of perfect gas and submitted to double diffusive convection. The
analysis is performed using Darcy−Brinkman formulation with the Boussinesq approximation. The set of coupled equations
of mass, momentum, energy, and species conservation are solved using the control volume finite-element method. Effects of buoyancy ratio and medium permeability and of the aspect ratio of the cavity on different irreversibilities are studied. It was found that entropy generation considerably depends on the buoyancy forces and reaches a minimum for a specific value of buoyancy ratio. A balance between Darcy viscous dissipation and other irreversibilities affect the entropy generation behavior. The variation of total entropy generation could be driven by heat transfer and diffusion or by fluid friction according to aspect ratio and Darcy number values.