scholarly journals Effects of Chemical Reaction on Dissipative Radiative MHD Flow through a Porous Medium over a Nonisothermal Stretching Sheet

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
S. Mohammed Ibrahim
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Saturated Porous Medium ◽  
Mhd Flow ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Temperature Parameter ◽  
Layer Flow

The steady two-dimensional radiative MHD boundary layer flow of an incompressible, viscous, electrically conducting fluid caused by a nonisothermal linearly stretching sheet placed at the bottom of fluid saturated porous medium in the presence of viscous dissipation and chemical reaction is studied. The governing system of partial differential equations is converted to ordinary differential equations by using the similarity transformations, which are then solved by shooting method. The dimensionless velocity, temperature, and concentration are computed for different thermophysical parameters, namely, the magnetic parameter, permeability parameter, radiation parameter, wall temperature parameter, Prandtl number, Eckert number, Schmidt number, and chemical reaction.

Radiation and heat source effects on MHD flow over a permeable stretching sheet through porous stratum with chemical reaction

2018 ◽  
Vol 14 (5) ◽  
pp. 1101-1114 ◽  
Author(s):  
K. Suneetha ◽  
S.M. Ibrahim ◽  
G.V. Ramana Reddy
Keyword(s):  
Porous Medium ◽  
Differential Equations ◽  
Heat Source ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Mhd Flow ◽  
Working Fluid ◽  
Content Type ◽  
Source Effects ◽  
Similarity Transformations

Purpose The purpose of this paper is to investigate the steady 2D buoyancy effects on MHD flow over a permeable stretching sheet through porous medium in the presence of suction/injection. Design/methodology/approach Similarity transformations are employed to transform the governing partial differential equations into ordinary differential equations. The transformed equations are then solved numerically by a shooting technique. Findings The working fluid is examined for several sundry parameters graphically and in tabular form. It is observed that with an increase in magnetic field and permeability of porous parameter, velocity profile decreases while temperature and concentration enhances. Stretching sheet parameter reduces velocity, temperature and concentration, whereas it increases skin friction factor, Nusselt number and Sherwood number. Originality/value Till now no numerical studies are reported on the effects of heat source and thermal radiation on MHD flow over a permeable stretching sheet embedded in porous medium in the presence of chemical reaction.

scholarly journals Viscous dissipation and chemical reaction effects on MHD Casson nanofluid over a stretching sheet

2019 ◽  
Vol 15 (4) ◽  
pp. 585-592
Author(s):  
Kamatam Govardhan ◽  
Ganji Narender ◽  
Gobburu Sreedhar Sarma
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Shooting Method ◽  
Stretching Sheet ◽  
Physical Parameters ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Electrically Conducting Fluid ◽  
Layer Flow ◽  
The Mathematical Model

A numerical analysis was performed for the mathematical model of boundary layer flow of Casson nanofluids. Heat and mass transfer were analyzed for an incompressible electrically conducting fluid with viscous dissipations and chemical reaction past a stretching sheet. An appropriate set of similarity transformations were used to transform the governing partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs). The resulting system of ODEs is solved numerically by using shooting method. A detailed discussion on the effects of various physical parameters and heat transfer characteristics was also included.

scholarly journals Radiative Boundary Layer Flow in Porous Medium due to Exponentially Shrinking Permeable Sheet

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Paresh Vyas ◽  
Nupur Srivastava
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Layer Flow ◽  
Radiative Heat ◽  
Saturated Porous Medium ◽  
Similarity Transformations ◽  
Layer Flow ◽  
Rosseland Approximation

This communication pertains to the study of radiative heat transfer in boundary layer flow over an exponentially shrinking permeable sheet placed at the bottom of fluid saturated porous medium. The porous medium has permeability of specified form. The fluid considered here is Newtonian, without phase change, optically dense, absorbing-emitting radiation but a nonscattering medium. The setup is subjected to suction to contain the vorticity in the boundary layer. The radiative heat flux in the energy equation is accounted by Rosseland approximation. The thermal conductivity is presumed to vary with temperature in a linear fashion. The governing partial differential equations are reduced to ordinary differential equations by similarity transformations. The resulting system of nonlinear ordinary differential equations is solved numerically by fourth-order Runge-Kutta scheme together with shooting method. The pertinent findings displayed through figures and tables are discussed.

Chemical Reaction Effect on Forced Convection Flow of a Jeffery Fluid over a Stretching Sheet: A Numerical Study

2018 ◽  
Vol 16 ◽  
pp. 109-119
Author(s):  
A.K. Mishra ◽  
N. Senapati ◽  
S.R. Mishra ◽  
S. Bhattacharjee
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Numerical Study ◽  
Mhd Flow ◽  
Deborah Number ◽  
Convection Flow ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Similarity Transformations

The purpose of this paper is to investigate steady two-dimensional laminar magnetohydrodynamic (MHD) flow of an incompressible Jeffrey fluid past over a linearly stretching sheet. The governing partial differential equations (PDEs) of continuity, momentum, energy and concentration are transformed into nonlinear coupled ordinary differential equations (ODEs) by using similarity transformations. Then the ODEs are solved by applying Runge-Kutta fourth order method accompanied with shooting technique. The effects of various physical parameters characterizing the flow phenomenon including Deborah number, ratio of relaxation to retardation times, magnetic parameter, porous parameter, Prandtl number, Eckert number, heat source / sink parameter, Schmidt number and chemical reaction parameter on dimensionless velocity, temperature and concentration profiles are analyzed. The numerical results are obtained and presented in graphs. The present results are compared with the earlier published results as a particular case.

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.

scholarly journals Thermal Radiation, Chemical Reaction, Viscous and Joule Dissipation Effects on MHD Flow Embedded in a Porous Medium

2019 ◽  
Vol 24 (3) ◽  
pp. 725-737
Author(s):  
B. Zigta
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Mhd Flow ◽  
Magnetic Reynolds Number ◽  
Convection Flow ◽  
Joule Dissipation ◽  
Radiation Chemical

Abstract An analysis is presented to study the effects of thermal radiation, chemical reaction, viscous and Joule dissipation on MHD free convection flow between a pair of infinite vertical Couette channel walls embedded in a porous medium. The fluid flows by a strong transverse magnetic field imposed perpendicularly to the channel wall on the assumption of a small magnetic Reynolds number. The governing non linear partial differential equations are transformed in to ordinary differential equations and are solved analytically. The effect of various parameters viz., Eckert number, electric conductivity, dynamic viscosity and strength of magnetic field on temperature profile has been discussed and presented graphically.

scholarly journals Numerical Solution of Boundary Layer MHD Flow with Viscous Dissipation

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
S. R. Mishra ◽  
S. Jena
Keyword(s):  
Differential Equations ◽  
Viscous Dissipation ◽  
Graphical Representation ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Shrinking Sheet ◽  
Shooting Technique ◽  
Electrically Conducting ◽  
Similarity Transformations ◽  
Runge Kutta Method

The present paper deals with a steady two-dimensional laminar flow of a viscous incompressible electrically conducting fluid over a shrinking sheet in the presence of uniform transverse magnetic field with viscous dissipation. Using suitable similarity transformations the governing partial differential equations are transformed into ordinary differential equations and then solved numerically by fourth-order Runge-Kutta method with shooting technique. Results for velocity and temperature profiles for different values of the governing parameters have been discussed in detail with graphical representation. The numerical evaluation of skin friction and Nusselt number are also given in this paper.

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