scholarly journals Second Law Analysis of Viscoelastic Fluid over a Stretching Sheet Subject to a Transverse Magnetic Field with Heat and Mass Transfer

Entropy ◽  
2010 ◽  
Vol 12 (8) ◽  
pp. 1867-1884 ◽  
Author(s):  
Soraya Aïboud ◽  
Salah Saouli
Author(s):  
Faras Issiako ◽  
Christian Akowanou ◽  
Macaire Agbomahena

We analyze analytically the effects of anisotropy in permeability and that of a transverse magnetic field on thermal convection in a porous medium saturated with a binary fluid and confined in a horizontal cavity. The porous medium, of great extension, is subjected to various conditions at the thermal and solutal boundaries. The axes of the permeability tensor are oriented obliquely with respect to the gravitational field. Based on a scale analysis, the velocity, temperature, and heat and mass transfer rate fields were determined. These results were validated by the study of borderline cases which are: pure porous media and pure fluid media discussed in the literature. It emerges from this study that the anisotropy parameters influence the convective flow. The application of a transverse magnetic field significantly reduces the speed of the flow and thereby affects the temperature field and the rate of heat and mass transfer.


2015 ◽  
Vol 62 (1) ◽  
pp. 37-44
Author(s):  
MA Samad ◽  
KC Saha

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)


2011 ◽  
Vol 15 (3) ◽  
pp. 749-758 ◽  
Author(s):  
Faiza Salama

An analysis is carried out to study the effect of heat and mass transfer on a non-Newtonian-fluid between two infinite parallel walls, one of them moving with a uniform velocity under the action of a transverse magnetic field. The moving wall moves with constant velocity in the direction of fluid flow while the free stream velocity is assumed to follow the exponentially increasing small perturbation law. Time-dependent wall suction is assumed to occur at permeable surface. The governing equations for the flow are transformed into a system of nonlinear ordinary differential equations by perturbation technique and are solved numerically by using the shooting technique with fourth order Runge-Kutta integration scheme. The effect of non-Newtonian parameter, magnetic pressure parameter, Schmidt number, Grashof number and modified Grashof number on velocity, temperature, concentration and the induced magnetic field are discussed. Numerical results are given and illustrated graphically for the considered Problem.


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