scholarly journals Influence of Radiation on Magneto-hydrodynamics Flow Over an Exponentially Stretching Sheet Embedded in a Thermally Stratified Porous Medium in the Presence of Heat Source

2020 ◽  
pp. 345-363
Author(s):  
Isaac Ogechi Senge ◽  
Emmanuel Olubayo Oghre ◽  
Idongesit Fred Ekang
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Velocity Profile ◽  
Stretching Sheet ◽  
Skin Friction Coefficient ◽  
Linear Ordinary Differential Equations ◽  
Exponentially Stretching Sheet ◽  
Layer Flow ◽  
Exponentially Stretching

The influence of radiation on magneto-hydrodynamics (MHD) boundary layer flow over an exponentially stretching sheet embedded in a thermally stratified porous medium in the presence of heat source and suction/blowing was investigated. Similarity transformation was used to convert the governing equations from partial differential equations into a system of non-linear ordinary differential equations. Solving numerically, we used shooting method along with fourth order Runge-Kutta technique to obtained numerical values. The effects of the obtained numerical values of the dimensionless parameters on skin-friction coefficient, Nusselt number, velocity profile and temperature profile are illustrated in table and graphs plotted using MATLAB. Comparison of the velocity profile with previously published work was presented and found to be in good agreement.

scholarly journals Flow over Exponentially Stretching Sheet through Porous Medium with Heat Source/Sink

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
I. Swain ◽  
S. R. Mishra ◽  
H. B. Pattanayak
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Mhd Flow ◽  
Mass Transfer Effect ◽  
Exponentially Stretching Sheet ◽  
Exponentially Stretching ◽  
Source Sink

An attempt has been made to study the heat and mass transfer effect in a boundary layer MHD flow of an electrically conducting viscous fluid subject to transverse magnetic field on an exponentially stretching sheet through porous medium. The effect of thermal radiation and heat source/sink has also been discussed in this paper. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations and then solved numerically using a fourth-order Runge-Kutta method with a shooting technique. Graphical results are displayed for nondimensional velocity, temperature, and concentration profiles while numerical values of the skin friction local Nusselt number and Sherwood number are presented in tabular form for various values of parameters controlling the flow system.

MHD Three Dimensional Flow of Casson Fluid over an Unsteady Exponentially Stretching Sheet with Slip Conditions

2018 ◽  
Vol 388 ◽  
pp. 77-95 ◽  
Author(s):  
M. Krishna Murthy
Keyword(s):  
Differential Equations ◽  
Stretching Sheet ◽  
Three Dimensional ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Slip Conditions ◽  
Exponentially Stretching Sheet ◽  
Similarity Transformations ◽  
Layer Flow ◽  
Exponentially Stretching

Magnetohydrodynamic (MHD) three dimensional boundary layer flow of Casson fluid over an unsteady exponentially stretching sheet with slip conditions is studied. The governing partial differential equations are transformed into ordinary differential equations using similarity transformations and are solved numerically using shooting technique. The effects of pertinent parameters on velocity and temperature distributions are shown in graphically. The skin friction coefficient and the Nusselt number are computed numerically. We noticed that Casson parameter increases then the velocities and temperature decrease.

scholarly journals MHD Mixed Convective Boundary Layer Flow of a Nanofluid through a Porous Medium due to an Exponentially Stretching Sheet

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
M. Ferdows ◽  
Md. Shakhaoath Khan ◽  
Md. Mahmud Alam ◽  
Shuyu Sun
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Skin Friction Coefficient ◽  
Convective Boundary ◽  
Boundary Layer Equations ◽  
Exponentially Stretching Sheet ◽  
Layer Flow ◽  
Exponentially Stretching

Magnetohydrodynamic (MHD) boundary layer flow of a nanofluid over an exponentially stretching sheet was studied. The governing boundary layer equations are reduced into ordinary differential equations by a similarity transformation. The transformed equations are solved numerically using the Nactsheim-Swigert shooting technique together with Runge-Kutta six-order iteration schemes. The effects of the governing parameters on the flow field and heat transfer characteristics were obtained and discussed. The numerical solutions for the wall skin friction coefficient, the heat and mass transfer coefficient, and the velocity, temperature, and concentration profiles are computed, analyzed, and discussed graphically. Comparison with previously published work is performed and excellent agreement is observed.

Effect of Radiation on MHD Free Convective Flow over a Stretching Sheet in the Presence of Heat Source/Sink

2017 ◽  
Vol 378 ◽  
pp. 1-15
Author(s):  
S. Baag ◽  
S.R. Mishra ◽  
B. Nayak ◽  
M.R. Acharya
Keyword(s):  
Differential Equations ◽  
Heat Source ◽  
Stretching Sheet ◽  
Physical Parameters ◽  
Linear Ordinary Differential Equations ◽  
Electrically Conducting ◽  
Flow Phenomena ◽  
Flow Heat ◽  
Layer Flow ◽  
Source Sink

In this analysis, effects of viscous dissipation and thermal radiation on an electrically conducting boundary layer flow, heat and mass transfer of a fluid through a porous medium over a stretching sheet in the presence of heat source/sink is considered. The symmetry groups admitted by the corresponding boundary value problem are obtained by using symmetric transformations. These transformations are used to convert the partial differential equations of the governing equations into self-similar non-linear ordinary differential equations. These transformed ODEs are solved by employing Runge-Kutta fourth order with shooting method. Numerical results obtained for different thermo-physical parameters characterizes the flow phenomena are drawn graphically and effects of various physical parameters on velocity, temperature and concentration profiles are discussed. Numerical computation for skin friction, Nusselt number and Sherwood number are also obtained and presented in Tables.

scholarly journals MHD Flow of a Viscous Fluid over an Exponentially Stretching Sheet in a Porous Medium

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Iftikhar Ahmad ◽  
Muhmmad Sajid ◽  
Wasim Awan ◽  
Muhammad Rafique ◽  
Wajid Aziz ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Transfer Problem ◽  
Heat Transfer Analysis ◽  
Physical Parameters ◽  
Exponentially Stretching Sheet ◽  
Flow And Heat Transfer ◽  
Exponentially Stretching

Radiation effects on magnetohydrodynamic (MHD) boundary-layer flow and heat transfer characteristic through a porous medium due to an exponentially stretching sheet have been studied. Formulation of the problem is based upon the variable thermal conductivity. The heat transfer analysis is carried out for both prescribed surface temperature (PST) and prescribed heat flux (PHF) cases. The developed system of nonlinear coupled partial differential equations is transformed to nonlinear coupled ordinary differential equations by using similarity transformations. The series solutions for the transformed of the transformed flow and heat transfer problem were constructed by homotopy analysis method (HAM). The obtained results are analyzed under the influence of various physical parameters.

scholarly journals Influence of Thermal Radiation on Magnetohydrodynamic (MHD) Boundary Layer Flow of a Viscous Fluid Over an Exponentially Stretching Sheet

2016 ◽  
Vol 21 (3) ◽  
pp. 581-592 ◽  
Author(s):  
A.S. Idowu ◽  
S. Usman
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Viscous Fluid ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Exponentially Stretching Sheet ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Exponentially Stretching ◽  
Mhd Boundary Layer Flow

Abstract Radiation on a magnetohydrodynamic (MHD) boundary layer flow of a viscous fluid over an exponentially stretching sheet was considered together with its effects. The new technique of homotopy analysis method (nHAM) was used to obtain the convergent series expressions for velocity and temperature, where the governig system of partial differential equations was transformed into ordinary differential equations. The interpretation of these expressions is shown physically through graphs. We observed that the effects of the Prandtl and magnetic number act in opposite to each other on the temperature.

Unsteady MHD flow of an exponentially stretching sheet with heat source through porous medium

2015 ◽  
Vol 9 ◽  
pp. 1509-1516 ◽  
Author(s):  
P. Chandra sekar ◽  
S. Ganesh ◽  
A. Mohamed Ismail ◽  
C. K. Kirubhashankar
Keyword(s):  
Porous Medium ◽  
Heat Source ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Exponentially Stretching Sheet ◽  
Exponentially Stretching
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