Magnetic field effect on the unsteady free convection flow in a square cavity filled with a porous medium with a constant heat generation

2011 ◽  
Vol 54 (9-10) ◽  
pp. 1734-1742 ◽  
Author(s):  
C. Revnic ◽  
T. Grosan ◽  
I. Pop ◽  
D.B. Ingham
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Free Convection ◽  
Heat Generation ◽  
Field Effect ◽  
Magnetic Field Effect ◽  
Convection Flow ◽  
Square Cavity ◽  
Free Convection Flow ◽  
Constant Heat

scholarly journals Finite element analysis for unsteady MHD heat and mass transfer free convection flow of polar fluids past a vertical moving porous plate in a porous medium with heat generation and thermal diffusion

2014 ◽  
Vol 11 (1) ◽  
pp. 69-82 ◽  
Author(s):  
Bala Siddulu Malga ◽  
Naikoti Kishan
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Finite Element ◽  
Porous Medium ◽  
Free Convection ◽  
Heat And Mass Transfer ◽  
Heat Generation ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Polar Fluid

The unsteady two-dimensional magnetohydrodynamic heat and mass transfer free convection flow of an incompressible viscous electrically conducting polar fluid through a porous medium past a semi-infinite vertical porous moving plate in the presence of a transverse magnetic field with thermal diffusion and heat generation is considered. The plate moves with a constant velocity in the longitudinal direction and the free stream velocity follows an exponentially increasing or decreasing. A uniform magnetic field acts perpendicularly to the porous surface which absorbs the polar fluid with a suction velocity varying with time. The equations of conservation of mass, momentum, energy and concentration which govern the case study of heat and mass transfer flow have been obtained. The equations have been solved numerically by Galerkin finite element method. The effect of various flow parameters are presented graphically. Representative results for velocity profiles, temperature profiles and concentration profiles are obtained for several values of pertinent parameters which are of physical and engineering interest.DOI: http://dx.doi.org/10.3329/jname.v11i1.12844

MHD free convection flow in an inclined square cavity filled with both nanofluids and gyrotactic microorganisms

2019 ◽  
Vol 29 (12) ◽  
pp. 4642-4659 ◽  
Author(s):  
Mikhail Sheremet ◽  
Teodor Grosan ◽  
Ioan Pop
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Free Convection ◽  
Hartmann Number ◽  
Convection Flow ◽  
Square Cavity ◽  
Free Convection Flow ◽  
Gyrotactic Microorganisms ◽  
Content Type ◽  
Field Inclination

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.

Unsteady Magnetohydrodynamic Free Convection Flow of a Radiative Fluid Past an Infinite Vertical Plate with Constant Heat and Mass Flux

2013 ◽  
Vol 465-466 ◽  
pp. 149-154
Author(s):  
Marneni Narahari ◽  
Sowmya Tippa ◽  
Rajashekhar Pendyala
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Mass Flux ◽  
Vertical Plate ◽  
Temperature Fields ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Constant Heat ◽  
Laplace Transform Technique ◽  
Infinite Vertical Plate

Theoretical analysis of unsteady magnetohydrodynamic free convection flow of a viscous incompressible radiative fluid past an infinite vertical plate with constant heat and mass flux is presented. The dimensionless governing linear partial differential equations have been solved using the Laplace transform technique. The exact solutions for the velocity, temperature and concentration fields are derived. The effects of radiation, magnetic field and buoyancy ratio parameters on the velocity and temperature fields are discussed through graphs. It is found that the velocity increases with increasing radiation parameter whereas it decreases with increasing magnetic field parameter for buoyancy assisted flows.

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