Effect of Geometry on Magneto-Convection in a Square Enclosure Filled with a Low Prandtl Number Fluid

AuthorsG. A. Sheikhzadeh, A Fattahi, M A Mehrabian, and M. Pirmohammadi
JournalProc. IMechE Part E: J. Process Mechanical Engineering
Presented byUniversity of Kashan
Page number53-61
Serial number1
Volume number225
IF0.3
Paper TypeFull Paper
Published AtFebruary 2011
Journal GradeISI
Journal TypeTypographic
Journal CountryUnited States

Abstract

Numerical simulation of magneto-convection heat transfer and fluid flow is analysed in an enclosure with a centrally located adiabatic square-shaped body using finite volume method. The enclosure's opposite walls (right and left) are heated and cooled, respectively, and the other walls are adiabatic. The effects of Rayleigh number (Ra = 103—106), Hartmann number (Ha = 0, 50, and 100), and ratio of the body's length to the enclosure's length (W/ L = 0.1—0.9) on the temperature and flow fields are analysed. The Prandtl number is assumed to be 0.02 representing a liquid metal. In the casting process, when a magnetic field is introduced, the convection strength is suppressed and this operation leads to a fine grain structure. To find how the average Nusselt number changes, the average vertical velocity in a certain location is also calculated. It was observed that the body's length affects the flow and temperature fields. It was also found that with increasing the W/ L, heat transfer decreased at low Rayleigh numbers but increased at the beginning and then decreased at high Rayleigh numbers.

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tags: numerical study, magnetic field, natural convection, adiabatic body