scholarly journals A Finite Element Analysis on MHD Free Convection Flow in Open Square Cavity Containing Heated Circular Cylinder

2015 ◽  
Vol 05 (01) ◽  
pp. 41-54 ◽  
Author(s):  
Sheikh Anwar Hossain ◽  
M. A. Alim ◽  
S. K. Saha
2011 ◽  
Vol 8 (1) ◽  
pp. 1-12 ◽  
Author(s):  
M Gnaneswara Reddy ◽  
N Bhaskar Reddy

The free convection flow of an unsteady magnetohydrodynamic and viscous dissipating fluid past an impulsively started vertical plate with soret and dufour effects has been analyzed. With appropriate transformations the boundary layer equations are transformed into nonlinear ordinary differential equations. The local unsteady similarity solutions of the transformed dimensionless equations for the flow. These equations are solved numerically by a finite element method. Favorable comparisons with previously published work are obtained. The effects of the various parameters on the velocity, temperature and concentration profiles as well as the skin-friction coefficient, Nusselt number and Sherwood number are presented graphically and in tabulated form.DOI: http://dx.doi.org/10.3329/jname.v8i1.3507


2019 ◽  
Vol 29 (12) ◽  
pp. 4642-4659 ◽  
Author(s):  
Mikhail Sheremet ◽  
Teodor Grosan ◽  
Ioan Pop

Purpose This paper aims to study the magnetohydrodynamic (MHD)-free convection flow in an inclined square cavity filled with both nanofluids and gyrotactic microorganism. Design/methodology/approach The benefits of adding motile microorganisms to the suspension include enhanced mass transfer, microscale mixing and anticipated improved stability of the nanofluid. The model includes equations expressing conservation of total mass, momentum, thermal energy, nanoparticles, microorganisms and oxygen. Physical mechanisms responsible for the slip velocity between the nanoparticles and the base fluid, such as Brownian motion and thermophoresis, are accounted for in the model. Findings It has been found that the Hartmann number suppresses the heat and mass transfer, while the cavity and magnetic field inclination angles characterize a non-monotonic behavior of the all considered parameters. A rise of the Hartmann number leads to a reduction of the influence rate of the magnetic field inclination angle. Originality/value The present results are original and new for the study of MHD-free convection flow in an inclined square cavity filled with both nanofluids and gyrotactic microorganisms.


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