scholarly journals COMBINED EFFECT OF THERMAL RADIATION AND VISCOUS DISSIPATION ON UNSTEADY FREE CONVECTIVE MAGNETO-HYDRODYNAMIC FLOW THROUGH AN IRREGULAR CHANNEL

2020 ◽  
Vol 14 (1) ◽  
pp. 37-51
Author(s):  
T. L. Oyekunle ◽  
S. A. Agunbiade
Keyword(s):  
Magnetic Field ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Viscous Dissipation ◽  
Perturbation Technique ◽  
Adomian Decomposition Method ◽  
Vertical Channel ◽  
Momentum Equation ◽  
Adomian Decomposition ◽  
Energy And Momentum

This study is focused on the joint effects of thermal radiation and magnetic field on an unsteady flow of natural convective, electrically conducting fluid past an irregular vertical channel in the presence of viscous dissipation. The magnetic field is applied normal to the channel. The coupled ordinary differential equations (ODE) are obtained using perturbation technique on the dimensionless governing equations involving energy and momentum equation. Semi-analytical solutions are obtained for the resultant coupled ODE with the application of Adomian Decomposition Method (ADM) with the aid of Mathematica 11.0 software. The pertinent flow parameters in velocity, temperature, Skin-friction and Nusselt number are discussed and exhibited using tables and graphs. It is revealed that at all regions, thermal radiation and viscous dissipation have a tendency to accelerate the Skin-friction and heat transfer coefficient of the fluid.

scholarly journals EFFECT OF HEAT AND MASS TRANSFER AND THERMAL RADIATION ON A STEADY MHD CONVECTIVE FLOW WITH VISCOUS DISSIPATION AND SUCTION/INJECTION

2022 ◽  
Vol 52 (1) ◽  
pp. 35-41
Author(s):  
Silpisikha Goswami ◽  
Kamalesh Kumar Pandit ◽  
Dipak Sarma
Keyword(s):  
Nusselt Number ◽  
Thermal Radiation ◽  
Temperature Profile ◽  
Skin Friction ◽  
Viscous Dissipation ◽  
Sherwood Number ◽  
Fluid Velocity ◽  
Physical Parameters ◽  
Flow Equations ◽  
The Impact

Our motive is to examine the impact of thermal radiation and suction or injection with viscous dissipation on an MHD boundary layer flow past a vertical porous stretched sheet immersed in a porous medium. The set of the flow equations is converted into a set of non-linear ordinary differential equations by using similarity transformation. We use Runge Kutta method and shooting technique in MATLAB Package to solve the set of equations. The impact of non-dimensional physical parameters on flow profiles is analysed and depicted in graphs. We observe the influence of non-dimensional physical quantities on the Nusselt number, the Sherwood number, and skin friction and presented in tables. A comparison of the obtained numerical results with existing results in a limiting sense is also presented. We enhance radiation to observe the deceleration of fluid velocity and temperature profile for both suction and injection. While enhancing porosity parameter accelerates velocity whereas decelerates temperature profile. As the heat source parameter increases, the temperature of the fluid decreases for both suction and injection, it has been found. With the increasing values of the radiation parameter, the skin friction and heat transfer rate decreases. Increasing magnetic parameter decelerates the skin friction, Nusselt number, and Sherwood number.

scholarly journals Mixed Convective Fully Developed Flow in a Vertical Channel in the Presence of Thermal Radiation and Viscous Dissipation

2017 ◽  
Vol 22 (1) ◽  
pp. 123-144 ◽  
Author(s):  
K.V. Prasad ◽  
P. Mallikarjun ◽  
H. Vaidya
Keyword(s):  
Thermal Radiation ◽  
Perturbation Method ◽  
Viscous Dissipation ◽  
Vertical Channel ◽  
Differential Transform Method ◽  
Physical Parameters ◽  
Regular Perturbation ◽  
Transform Method ◽  
Fully Developed Flow ◽  
Differential Transform

Abstract The effect of thermal radiation and viscous dissipation on a combined free and forced convective flow in a vertical channel is investigated for a fully developed flow regime. Boussinesq and Roseseland approximations are considered in the modeling of the conduction radiation heat transfer with thermal boundary conditions (isothermal-thermal, isoflux-thermal, and isothermal-flux). The coupled nonlinear governing equations are also solved analytically using the Differential Transform Method (DTM) and regular perturbation method (PM). The results are analyzed graphically for various governing parameters such as the mixed convection parameter, radiation parameter, Brinkman number and perturbation parameter for equal and different wall temperatures. It is found that the viscous dissipation enhances the flow reversal in the case of a downward flow while it counters the flow in the case of an upward flow. A comparison of the Differential Transform Method (DTM) and regular perturbation method (PM) methods shows the versatility of the Differential Transform Method (DTM). The skin friction and the wall temperature gradient are presented for different values of the physical parameters and the salient features are analyzed.

scholarly journals Influence of Hall Current and Thermal Radiation on MHD Convective Heat and Mass Transfer in a Rotating Porous Channel with Chemical Reaction

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Dulal Pal ◽  
Babulal Talukdar
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Hall Current ◽  
Perturbation Technique ◽  
Porous Channel ◽  
Physical Parameters ◽  
Shear Stresses ◽  
Resultant Velocity

A theoretical study is carried out to obtain an analytic solution of heat and mass transfer in a vertical porous channel with rotation and Hall current. A constant suction and injection is applied to the two insulating porous plates. A strong magnetic field is applied in the transverse direction. The entire system rotates with uniform angular velocity Ω about the axis normal to the plates. The governing equations are solved by perturbation technique to obtain the analytical results for velocity, temperature, and concentration fields and shear stresses. The steady and unsteady resultant velocities along with the phase differences for various values of physical parameters are discussed in detail. The effects of rotation, buoyancy force, magnetic field, thermal radiation, and heat generation parameters on resultant velocity, temperature, and concentration fields are analyzed.

scholarly journals Mixed Convection of a Radiating Magnetic Nanofluid past a Heated Permeable Stretching/Shrinking Sheet in a Porous Medium

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Feleke Buta Tadesse ◽  
Oluwole Daniel Makinde ◽  
Lemi Guta Enyadene
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Volume Fraction ◽  
Flow Stability ◽  
Collective Effects ◽  
Shrinking Sheet ◽  
Convective Heating

This paper analyzes the collective effects of buoyancy force, thermal radiation, convective heating, and magnetic field on stagnation point flow of an electrically conducting nanofluid past a permeable stretching/shrinking sheet in a porous medium. Similarity transformations are used on the resulting nonlinear partial differential equations to transfer into a system of coupled nonlinear ordinary differential equations. The fourth-fifth-order Runge–Kutta–Fehlberg method with shooting technique is applied to solve numerically. Results are obtained for dimensionless velocity, temperature, and nanoparticle volume fraction as well as the skin friction and local Nusselt and Sherwood numbers. The results indicate the existence of two real solutions for the shrinking sheet in the range of λ c < λ < 0 . The fluid flow stability is maintained by increasing the magnetic field effect, whereas the porous medium parameter inflates the flow stability. It is also noted that both the skin friction coefficient and the local Sherwood number approximately decline with the intensification of thermal radiation within the range from 9.83% to 14% and the range from 48.86% to 78.66%, respectively. It is also evident in the present work that the local Nusselt number upsurges with the porous and suction/injection parameters.

scholarly journals Bistable fully developed mixed convection flow with viscous dissipation in a vertical channel

2018 ◽  
Vol 5 (7) ◽  
pp. 171880
Author(s):  
M. Miklavčič
Keyword(s):  
Mixed Convection ◽  
Thermal Radiation ◽  
Pressure Gradient ◽  
Viscous Dissipation ◽  
Vertical Channel ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Radiation Model ◽  
Stable Solutions ◽  
Stable Flow

It is shown that unstable dual solutions in fully developed mixed convection flow in a vertical channel disappear in the presence of relatively strong thermal radiation. In this case, we have a unique stable flow at each pressure gradient. When the effect of thermal radiation is weak another branch of stable solutions is created, resulting in bistable flows. In this case, the flow exhibits hysteresis with variation of the pressure gradient. Optically, a thin radiation model is used.

ADOMIAN DECOMPOSITION METHOD FOR MAGNETOHYDRODYNAMIC FLOW OF BLOOD INDUCED BY PERISTALTIC WAVES

2017 ◽  
Vol 17 (01) ◽  
pp. 1750007 ◽  
Author(s):  
G. C. SHIT ◽  
N. K. RANJIT ◽  
A. SINHA
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Decomposition Method ◽  
Flow Characteristics ◽  
Adomian Decomposition Method ◽  
Velocity Slip ◽  
Wave Number ◽  
Axial Velocity Component ◽  
Adomian Decomposition ◽  
Small Change

The present investigation deals with the application of Adomian decomposition method (ADM) to blood flow through an asymmetric non-uniform channel induced by peristaltic wave in the presence of magnetic field and the velocity slip at the wall. The ADM is applied with an aim to avoid any simplifications and restrictions, which changes non-linearity of the problem as well as to provide analytical solution. The blood flowing through the vessel is assumed to be Newtonian and incompressible with constant viscosity. The analytical expressions for the axial velocity component, streamlines and wall shear stress are presented. The numerical results of these physical quantities are obtained for different values of the Reynolds number, wave number and Hartmann number. The results obtained for different values of the parameters involved in the problem under consideration show that the flow is appreciably influenced by the presence of slip velocity as well as magnetic field. From this study, we conclude that the assumption of long wavelength and low Reynolds number overestimates the flow characteristics even for a small change in the parameters.

Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Aamir Ali ◽  
Sana Mumraiz ◽  
Hafiz Junaid Anjum ◽  
Saleem Asghar ◽  
Muhammad Awais
Keyword(s):  
Magnetic Field ◽  
Viscous Dissipation ◽  
Hall Current ◽  
Perturbation Technique ◽  
Pressure Rise ◽  
Biomedical Science ◽  
Slip Parameter ◽  
Peristaltic Activity ◽  
Bolus Size ◽  
Opposite Behavior

Abstract The current research explores the slippage phenomenon in hydromagnetic peristaltic activity of a non-Newtonian fluid with porous media in an asymmetric channel. The analysis is performed under the influence of thermal radiation, Hall current, Joule heating and viscous dissipation. The problem is formulated with the assumption of small Reynolds number and large wavelength. Analytical solutions are achieved through perturbation technique and the impacts of involved influential parameters are examined through graphs. It is observed that the pressure gradient rises with fourth grade fluid parameter and decreases with increasing phase difference. The pressure rise increases in pumping regime and decreases in co-pumping regime for increasing magnetic field parameter, whereas it has opposite effects for hall parameter. It is also noted that the velocity drops in the middle of the channel, while it increases near the boundaries for growing slip parameter and magnetic field parameters and it has the opposite behavior for hall and permeability parameters. The slip parameter increases the temperature of the fluid and decreases the concentration. Also, in trapping phenomena, the bolus size reduces by enlarging Deborah parameter. The present research has profound use in biomedical science, polymer technology and artificial heart polishing.

scholarly journals Influence of Soret, Hall and Joule heating effects on mixed convection flow saturated porous medium in a vertical channel by Adomian Decomposition Method

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Ch. Ram Reddy ◽  
K. Kaladhar ◽  
D. Srinivasacharya ◽  
T. Pradeepa
Keyword(s):  
Porous Medium ◽  
Joule Heating ◽  
Decomposition Method ◽  
Saturated Porous Medium ◽  
Adomian Decomposition Method ◽  
Vertical Channel ◽  
Convective Transport ◽  
Convection Flow ◽  
Similarity Transformations ◽  
Adomian Decomposition

Abstract This paper analyzes the laminar, incompressible mixed convective transport inside vertical channel in an electrically conducting fluid saturated porous medium. In addition, this model incorporates the combined effects of Soret, Hall current and Joule heating. The nonlinear governing equations and their related boundary conditions are initially cast into a dimensionless form using suitable similarity transformations and hence solved using Adomian Decomposition Method (ADM). In order to explore the influence of various parameters on fluid flow properties, quantitative analysis is exhibited graphically and shown in tabular form.

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