Dependence of aspect ratio on magnetic damping of natural convection in low-conducting aqueous solution in a rectangular cavity

作者：Wang LB; Wakayama NI^*

来源：International Journal of Heat and Fluid Flow, 2002, 23(1): 92-95.

DOI：10.1016/S0142-727X(01)00138-2

• aspect ratio
• aqueous solution
• damping of convection
• Lorentz force
• magnetic field
• natural convection

Magnetic damping of natural convection in low-conducting aqueous solution was numerically studied for 0 less than or equal to Hartmann number (Ha) less than or equal to 36.67, 1000 less than or equal to Grashof number (Gr) less than or equal to 39810 and 0.1 less than or equal to the aspect ratio of a container (AR) less than or equal to 1.0. The ratio of averaged Nusselt number (Nu(ave)) with and without magnetic field, Nu(r) = (Nu(aveB) - 1)/(Nu(ave0) - 1), was used to quantify the damping efficiency of natural convection. The results reveal that the magnetic damping of natural convection is strongly dependent on the aspect ratio of the container and there exists an optimum AR for minimizing natural convection. The optimum value of AR is almost independent of Ha and shows the tendency to decrease with increasing Gr. Correlation equations for Nu(r) and the ratio of averaged velocity with and without magnetic field with AR, Gr and Ha were given.

• 出版日期2002-2