Abstract
In the Bénard convection governed nanofluid confined between two horizontal infinite free-free boundaries, the effect of Hall current is investigated when it is subjected to the constant vertical magnetic field. The Buongiorno mathematical model for hydromagnetic flow with Hall currents has been considered. The Brownian motion effects and thermophoresis of nanoparticles have been included in the energy equation. A realistic boundary condition based on zero nanoparticle mass flux at the walls is incorporated for the analysis. The impacts of Brownian motion, convective heat transfer, thermophoresis of nanoparticles and zero mass flux conditions are also deliberated through the behaviour of the related parameters. The parameters representing the model incorporate the consequences of newly introduced physically realistic boundary conditions and Hall currents. For comprehensive physical interpretation the embedded parameters have been plotted and deliberated graphically. It is found that Hall current is responsible to enhances the instability of the system and sets the convection earlier. A rigorous comparison has been made with the existing results. The results are shown graphically and verified numerically.
Highlights
The poor thermal conductivity was a big impediment of the fluids used as cooling stimulants in heat transfer equipment, radiators and electronic cooling systems used in different fields of importance like medicine, defense, transportation etc
The present study focuses to explore the role of Hall current to the thermal convection of nanofluid under constant transversal magnetic field considering the realistic boundary conditions motivated by the prominence passive management of temperature at the boundaries suggested by Stefan [24]
Bénard convection in a continuous flow medium in the presence of horizontal constant magnetic field and Hall currents has been investigated for a Newtonian nanofluid
Summary
The poor thermal conductivity was a big impediment of the fluids used as cooling stimulants in heat transfer equipment, radiators and electronic cooling systems used in different fields of importance like medicine, defense, transportation etc. Choi and his counterparts [1,2,3] performed several experiments by suspending various metallic and metal oxide nanoparticles in different types of fluids and inferred that the thermal conductivity of the base fluid can be increased to many folds by adding low concentration of nanosized particles of the materials having higher thermal conductivity than the base fluid. Using MATLAB software, the stationary convection is discussed analytically as well as graphically
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