Begell House Inc.
Journal of Porous Media
JPM
1091-028X
23
9
2020
ASPECTS OF HETEROGENOUS AND HOMOGENOUS REACTIONS ON HYDROMAGNETIC OSCILLATORY ROTATING FLOW IN POROUS MEDIUM
837-850
10.1615/JPorMedia.2020025290
Zaheer
Abbas
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Amar
Rauf
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100,
Pakistan; Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus 57000,
Pakistan
Sabir Ali
Shehzad
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
time-dependent flow
magnetohydrodynamics
oscillatory disk
porous medium
homogeneous-heterogeneous reactions
Ongoing work addresses the unsteady magnetohydrodynamics (MHD) flow of viscous liquid generated by the rotation of a stretchable disk under time-based sinusoidal oscillations in the occupancy of homogeneous and heterogeneous aspects. The three-dimensional flow problem is normalized by implementing dimensionless variables. The obtained nonlinear system is solved numerically by using a scheme of finite differences and successive over-relaxation (SOR) method, in which semi-infinite domain is confined to fixed domain. The flow characteristics are discussed through dimensionless quantities in pictorial and tabular forms. Results show that the flow amplitude of velocity profiles decays for enhancing values of porosity parameter. The amplifying values of strength of homogeneous and heterogeneous parameters decline periodically for concentration as a function of time.
NATURAL CONVECTION IN A TRAPEZOIDAL POROUS FILLED CAVITY WITH A FLEXIBLE WALL
851-864
10.1615/JPorMedia.2020034298
Bader
Alshuraiaan
Mechanical Engineering Department, College of Engineering and Petroleum, Kuwait
University, PO Box 5969, Safat 13060, Kuwait
flexible inclined wall
natural convection
numerical
porous medium
trapezoidal enclosure
heat transfer enhancement
Laminar free convection in a trapezoidal cavity containing porous media is analyzed in this study for various relevant variables such as Rayleigh number, angle of the side inclined wall, and thermal conductivity using fluid-structure interaction. Two configurations of trapezoidal enclosure were analyzed in this investigation to compare flow and heat transfer characteristics between the rigid and flexible wall models. The results of this study show that heat transfer is enhanced with an increase in the Rayleigh number for both arrangements. However, the second configuration exhibited higher average Nusselt number than the first configuration. Further, heat transfer improvement is found to reduce with increasing the angle of the inclined wall for the second configuration. The results indicated that the presence of a flexible wall results in heat transfer improvement when compared to the model of rigid walls of the trapezoidal cavity; therefore, it is recommended to use flexible wall models in thermal management applications.
NUMERICAL SIMULATION OF THREE-DIMENSIONAL FLOW OF RADIATING GRAY NANOFLUID THROUGH POROUS MEDIUM SUBJECTED TO VIBRATIONAL ROTATIONS AND SLIP AT LIQUID-SHEET INTERFACE
865-881
10.1615/JPorMedia.2020024935
Rakesh
Kumar
Department of Mathematics, Central University of Himachal Pradesh, Dharamshala, India
Sabir Ali
Shehzad
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
M. N.
Bashir
Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan
vibrational rotations
velocity slip
radiative heat transfer
iron-oxide nanoparticles
porous medium
We present a numerical scheme based on explicit finite difference approximation to handle the three-dimensional boundary layer flow of absorbing, emitting, and electrically conducting grey nanofluid over a flat surface. Nanofluid is designed by suspending iron-oxide nanoparticles (IONPs) in the base fluid. The flow field is assumed to be embedded in the porous medium, which executes vibrational rotations. To maintain the flow, velocity slip is introduced at the liquid-sheet interface. The governing equations are reduced to nondimensional form using dimensionless parameters and variables. The stability and convergence criteria have also been discussed to elaborate the validity of results. The hydromagnetic and convective heat transfer characteristics of magnetite nanofluid have been exhibited through graphs and tables for different related parameters. Substantial influences of oscillations and rotations have been noticed on the velocity profiles, temperature profiles, skin-friction coefficients, and Nusselt number.
PERISTALTIC FLOW OF SECOND-GRADE DUSTY FLUID THROUGH A POROUS MEDIUM IN AN ASYMMETRIC CHANNEL
883-905
10.1615/JPorMedia.2020024830
Ambreen
Afsar Khan
Department of Mathematics and Statistics, International Islamic University Islamabad, 44000,
Pakistan
H.
Tariq
Department of Mathematics and Statistics, International Islamic University Islamabad, 44000,
Pakistan
dusty fluid
peristaltic transport
porous medium
asymmetric channel
In this paper, the effect of porous passage on dusty second-grade fluid with the slip parameter in an asymmetric channel has been studied. The situation is demonstrated mathematically using nonlinear coupled equations. An analytical solution of the problem is gained by applying a regular perturbation method. The stream functions for both fluid and solid particles and the pressure gradient are calculated and illustrated graphically. It is observed that the bolus expands in the upper half of the channel for both fluid and dust particles as k increases, and increasing k has opposite effect in the lower part of the passage.
FLOW OF JEFFREY NANOFLUIDS OVER CONVECTIVELY HEATED OSCILLATORY MOVING SHEET WITH MAGNETIC FIELD AND POROSITY EFFECTS
907-922
10.1615/JPorMedia.2020025508
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
Jeffrey nanofluids
oscillatory stretching sheet
porous medium
convective heating
In the present investigation, the flow of Jeffrey nanofluids is analyzed by using convective heating conditions. The nanoparticles are considered over a stretched surface that moves and oscillates periodically due to sine oscillations of the sheet. The combined porous and magnetic effects are taken into consideration for flow of non-Newtonian fluids with nanoparticles, and their influence is graphically underlined and discussed for some motions with engineering applications. The linear Darcy model with uniform porosity is implemented to take care of flow through saturated media. Moreover, this investigation also presents the results of linearly stretching surfaces in a particular situation. The local similarity solution is developed for coupled nonlinear partial differential equations arising for non-Newtonian fluids by homotopic method. A detailed graphical analysis based on various values of thermophysical parameters has been presented. It is found that amplitude of oscillations in velocity increases with increasing Deborah number, whereas it follows an opposite trend with increasing combined porosity and magnetic parameter. Moreover, the rate of heat transfer increases with increasing combined parameter and ratio of relaxation to retardation time. The temperature of nanofluid is enhanced by increasing thermal Biot number and thermophoresis parameter.
THERMAL DISPERSION EFFECT ON NANOFLUID: A REVISED MODEL
923-941
10.1615/JPorMedia.2020024874
Palani
Sudhagar
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology,
Vellore 632 014, India
Peri Kameswara
Kameswaran
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology,
Vellore 632 014, India
B. Rushi
Kumar
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, India
nanofluid
mixed convection
thermophoresis
Brownian motion
porous medium
thermal dispersion
The interaction of the mixed convective boundary layer nanofluid flow with the thermal dispersion of heat and mass transfers in an isothermal vertical wedge implanted in a porous medium has been investigated. Using nonsimilarity solutions, the energy equation, which includes the thermal dispersion, accelerates fully nonlinear partial differential equations. The governing coupled nonsimilarity equations have been solved numerically. An examination of present outcomes is made with the existing outcomes in the literature, and our outcomes are in great concurrence with the known outcomes. A parametric review demonstrating the impact of various physical parameters is performed. The set of numerical outcomes for the velocity, temperature, and nanoparticle concentration profiles, as well as the local Nusselt number and a nanoparticle Sherwood number, has been displayed graphically to indicate interesting features of the solutions. It is observed that the heat transfer rate increases as an increasing function of the thermal dispersion parameter for increasing the values of χ. This result may be useful in thermal dispersion flow switches because the flow rate of fluid increases and there is a cooling effect due to the fluid moving past the temperature scale.