Criterion equations for a sphere in the region of low Reynolds numbers

Rumyantsev, A. V.; Gus’kov, K. V.

doi:10.1007/s11018-012-0105-x

Cited by 3 publications

(1 citation statement)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The study of the effect of magnetic field on heat transfer will be more attractive in the areas of magnetic refrigerator design and in the growth of single crystals. There are many studies that give empirical correlation between the heat transfer coefficient with other parameters such as Reynolds numbers and Prandtl number without magnetic field [1][2][3]. However, there are not many reports on the study of heat transfer with magnetic fields in the problem of flow of electrically conducting fluids.…”

Section: Introductionmentioning

confidence: 99%

Influence of Induced Magnetic Field on Thermal MHD Flow

Sivakumar

Vimala

Sekhar

2015

Numerical Heat Transfer, Part A: Applications

View full text Add to dashboard Cite

This paper studies the influence of an induced magnetic field on the forced convective heat transfer from an isothermal sphere in the presence of an applied magnetic field. Irrespective of the choice of magnetic Reynolds number, the induced magnetic field is also taken into consideration and, therefore, we have solved the full-magnetohydrodynamic equations in (w-x-A) formulation. We have used a higher order numerical scheme with compact stencil in spherical polar coordinates for discretization. We have observed that the application of magnetic field on the flow has a twofold effect. Firstly the recirculation bubble vanishes, and secondly it alters the heat transfer coefficient. In particular, the heat transfer gets enhanced near the top of the sphere, while in the upstream and downstream regions, it diminishes. We have also found that the magnetic Reynolds number aids in the reduction of heat transfer. Our results on the heat transfer coefficient in the liquid sodium flow problem concur with the available experimental data. Further, we have observed that the effect of magnetic Reynolds number on a low Pr fluid is negligible.

show abstract

Section: Introductionmentioning

confidence: 99%