scholarly journals Heat and mass transfer effect on a radiative second grade MHD flow in a porous medium over a stretching sheet

2020 ◽  
Vol 17 (1) ◽  
pp. 51-66
Author(s):  
A. P. Baitharu ◽  
Sachidananda Sahoo ◽  
G. C. Dash
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Power Law ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Second Grade ◽  
Fluid Temperature ◽  
Mass Transfer Effect

A study on heat and mass transfer of a steady laminar boundary layer flow of an electrically conducting fluid of second grade in a porous medium subject to a uniform magnetic field past a semi-infinite stretching sheet with power law surface temperature or power law surface heat flux. The variations in fluid velocity, fluid temperature and species concentration are displayed graphically whereas the numerical values of skin friction, Nusselt number and Sherwood number are presented in tabular form for various values of the pertinent flow parameters. The asymptotic expansions of the solutions for large Prandtl number are also given for the two heating conditions. The temperature distribution decreases with the increase in thermal radiation parameter in case of PST and PHF. The rate of mass transfer at the solid surface increases in the presence of magnetic field and decreases with heavier diffusing species.  

scholarly journals Heat and Mass Transfer on MHD Flow of a Viscoelastic Fluid through Porous Media over a Shrinking Sheet

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
D. Bhukta ◽  
G. C. Dash ◽  
S. R. Mishra
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Temperature Field ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Viscoelastic Fluid ◽  
Power Law ◽  
Nonlinear Partial Differential Equations ◽  
Shrinking Sheet ◽  
Mass Transfer Effect

An attempt has been made to study the heat and mass transfer effect in a boundary layer flow through porous medium of an electrically conducting viscoelastic fluid over a shrinking sheet subject to transverse magnetic field in the presence of heat source. Effects of radiation, viscous dissipation, and uniform heat sink on the heat transfer have been considered. The method of solution involves similarity transformation. The coupled nonlinear partial differential equations representing momentum, concentration, and nonhomogenous heat equation are reduced into a set of nonlinear ordinary differential equations. The transformed equations are solved by applying Kummer’s function. The exact solution of temperature field is obtained for power-law surface temperature (PST) as well as power-law heat flux (PHF) boundary condition. The interaction of magnetic field is proved to be counterproductive in enhancing velocity and concentration distribution, whereas presence of porous matrix reduces the temperature field at all points.

Thermophoretic and Nonlinear Convection in Non-Darcy Porous Medium

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
P. K. Kameswaran ◽  
P. Sibanda ◽  
M. K. Partha ◽  
P. V. S. N. Murthy
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Fluid Velocity ◽  
Solute Concentration ◽  
Fluid Temperature ◽  
Nonlinear Convection ◽  
Transfer Rates ◽  
Special Cases ◽  
Layer Flow

In this paper, we study the effects of nonlinear convection and thermophoresis in steady boundary layer flow over a vertical impermeable wall in a non-Darcy porous medium. Both the fluid temperature and the solute concentration are assumed to be nonlinear while at the wall, both the temperature and concentration are maintained at a constant value. A similarity transformation was used to obtain a system of nonlinear ordinary differential equations, which were then solved numerically using the Matlab bvp4c solver. A comparison of the numerical results with previously published results for special cases shows a good agreement. The effects of the nonlinear temperature and concentration parameters on the velocity and heat and mass transfer are shown graphically. A representative sample of the results is presented showing the effects of thermophoresis on the fluid velocity and heat and mass transfer rates. It is found among other results, that the concentration profiles decreased with increasing values of the thermophoretic parameter.

Heat and Mass Transfer for Electrical Conducting Mixed Convection with Radiation Effect for Viscoelastic Fluid Past a Stretching Sheet

2008 ◽  
Vol 24 (2) ◽  
pp. N21-N27 ◽  
Author(s):  
K.-L. Hsiao
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Radiation Effect ◽  
Stretching Sheet ◽  
Second Grade ◽  
Governing Equations ◽  
Mass Transfer Effect ◽  
Electrically Conducting ◽  
Electrical Conducting ◽  
Steady Laminar

ABSTRACTIn this study, an analysis has been performed for heat and mass transfer of a steady laminar boundarylayer flow of an electrically conducting fluid with radiation effect of second grade subject to suction and to a transverse uniform magnetic field past a stretching sheet. Parameters Gr, Gc, Nr, M, Sc represent the dominance of the buoyant effect, radiative effect, magnetic effect and mass transfer effect which have presented in governing equations, respectively. The similar transformation and the finite-difference method have been used to analyze the present problem.

scholarly journals Radiative Heat and Mass Transfer of an MHD Free Convective Flow of Non-Newtonian Power-Law Fluids Along a Continuously Moving Stretching Sheet with Uniform Surface Heat Flux

2015 ◽  
Vol 62 (1) ◽  
pp. 37-44
Author(s):  
MA Samad ◽  
KC Saha
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Heat Flux ◽  
Flow Field ◽  
Heat And Mass Transfer ◽  
Power Law ◽  
Surface Heat Flux ◽  
Stretching Sheet ◽  
Transverse Magnetic ◽  
Surface Heat

An analysis is carried out to study the effects of MHD free convection heat and mass transfer of power-law non-Newtonian fluids along a stretching sheet with thermal radiation. This has been done under the simultaneous action of suction, thermal radiation and uniform transverse magnetic field. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat flux. The governing non–linear partial differential equations governing the flow field for heat and mass transfer problem are transformed into non–linear ordinary differential equations, using similarity transformation, and the resulting problem is solved numerically using Nachtsheim-Swigert shooting iteration technique along with sixth order Runge-Kutta integration scheme. The results from numerical computations have been presented in the from of dimensionless velocity, temperature and concentration profiles, shown graphically and discussed. A parametric study illustrating the influence of the flow field to radiation, buoyancy force, power-law fluid velocity index, Schmidt number, suction or injection parameter and uniform transverse magnetic field on the local skin friction coefficient, the local Nusselt number and the Sherwood number which are of physical and engineering interest are studied and the obtained results are shown graphically and the physical aspects of the problem are discussed. A comparison of the present study is also performed with the previously published work and found excellent agreement DOI: http://dx.doi.org/10.3329/dujs.v62i1.21958 Dhaka Univ. J. Sci. 62(1): 37-44, 2014 (January)

scholarly journals Electromagnetic steady motion of Casson fluid with heat and mass transfer through porous medium past a shrinking surface

2019 ◽  
pp. 416-416
Author(s):  
Nabil El-Dabe ◽  
Mohamed Abou-Zeid ◽  
Omar El-Kalaawy ◽  
Salah Moawad ◽  
Ola Ahmed
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Differential Equations ◽  
Heat And Mass Transfer ◽  
Fluid Velocity ◽  
Steady Motion ◽  
Physical Parameters ◽  
Physical Situation ◽  
Fluid Temperature ◽  
Electric Parameter

The motion of non-Newtonian fluid with heat and mass transfer through porous medium past a shrinking plate is discussed. The fluid obeys Casion model, heat generation, viscous dissipation, thermal diffusion and chemical reaction are taken in our considered. The motion is modulated mathematically by a system of non liner partial differential equations which describe the continuity, momentum, heat and mass equations. These system of non linear equations are transformed into ordinary differential equations by using a suitable transformations. These equations are solved numerically by using Mathematica package. The numerical distributions of the velocity, temperature and concentration are obtained as a functions of the physical parameters of the problem. Moreover the effects of these parameters on these solutions are discussed numerically and illustrated graphically through some figures. It is clear that these parameters play an important role to control the velocity, temperature and concentration of the fluid motion. It?s found that the fluid velocity deceases with the increasing of electric parameter while it increases as the magnetic hartman parameter increases, these results is good agreement with the physical situation. Also, the fluid temperature decreases and increases as the Prandtl number and Eckert number increases respectively. At least the fluid concentration decreases with both of soret and schimdt numbers.

Free Convective Heat and Mass Transfer in a Doubly Stratified Porous Medium Saturated with a Power-Law Fluid

2009 ◽  
Vol 36 (6) ◽  
pp. 524-537 ◽  
Author(s):  
P. A. Lakshmi Narayana ◽  
P. V. S. N. Murthy ◽  
P. V. S. S. S. R. Krishna ◽  
Adrian Postelnicu
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Convective Heat ◽  
Power Law ◽  
Power Law Fluid
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