Simulation of thermal behavior of nanoparticles due to appearance of MHD

To illustrate the role of Lorentz force on migration of nanopowders, CVFEM simulation has been reported in current research. The chamber contains hybrid nanomaterial and made up form porous media. Momentum equations have been modified for present paper with adding new source terms. The mentioned method works based on FEM in generation of mesh and calculation of gradient of scalars while it uses FVM approach for employing source terms. Testing with benchmark article shows the nice accuracy. Increase of permeability can enhance the speed of nanopowders and iso-temperature lines shapes become complicated. Impose of MHD creates new force against buoyancy and declines the velocity of the nanomaterial. Also, complication of isotherms declines with rise of Ha. With growth of Da, value of psi increases about 111% and 64.2% when Ha=0 and 20, respectively. Also, augment of Ha results in reduction of velocity about 30% and 47.6% when Da=0.01 and 100. Given Da=5Ha=100, Nu for Ra=1e5 is 6.83 times bigger than case with log(Ra)=3. Nu decreases to about 67.28% with increase of Ha when Da=100, Ra=1e5. As Da increases, Nu rises about 62% when Ha=0, Ra=1e3.

Automated summary

The study illustrates the impact of Lorentz force on the migration of nanopowders. By modifying momentum equations and adding new source terms using FEM and FVM methods, the experiment shows that increasing permeability can enhance nanopowder speed, while the introduction of MHD can counteract buoyancy and decrease velocity.