外磁场下不同液态金属双扩散对流的数值模拟
Numerical Simulations of Double-Diffusive Convection in Different Liquid Metals Under Magnetic Fields
陈思思 1李许龙 1张超男 1秦娟娟 1赵秉新2
作者信息
- 1. 宁夏大学数学统计学院,银川 750021
- 2. 宁夏大学数学统计学院,银川 750021;宁夏力学交叉与科学计算重点实验室,银川 750021
- 折叠
摘要
采用高精度、高分辨率的数值方法,对三种方向的外磁场下长腔内不同液态金属双扩散对流的动力学特性进行直接数值模拟研究,揭示了流体物性参数Prandtl数(Pr)、磁场方向以及磁场强度对流动和传热传质的影响规律.结果表明:在所考察的Prandtl数范围内,随着Pr的增大,弱磁场时,流动从非定常的周期流动过渡为定常对流,其中Prandtl数为0.03时该对流系统存在非定常解,流动是周期性的,传热传质效率先快速增长,之后增速变缓;中等强度磁场时,流动始终是定常的,传热传质效率随Prandtl数增大的增速进一步减缓;强磁场时,流动总是定常的,传热传质效率几乎不随Prandtl数的改变而改变.在同一磁场强度下,相比于45°倾斜磁场和水平磁场,垂直磁场对传热传质效率产生的抑制作用较小.
Abstract
With the high-precision and high-resolution numerical method,the dynamics of double-diffusive con-vection of different liquid metals in a long cavity under external magnetic fields in 2 directions was directly sim-ulated,to reveal the influences of the fluid property parameter of Prandtl number Pr,the magnetic field direc-tion and the magnetic field intensity on the flow and the heat and mass transfers.The results indicate that,within the range of the considered Pr values,the flow transitions from periodic to steady with the increase of Pr for weak magnetic fields.Specifically,when the Pr is 0.03,the convective system will have unsteady solu-tion,and the flow will be periodic.The efficiency of heat and mass transfers initially increase rapidly,then slowly.For the moderately strong magnetic field,the flow remains steady,and the growth rate of the heat and mass transfer efficiency slows down further with Pr increasing.For the strong magnetic field,the flow is always steady,and the efficiency of the heat and mass transfer hardly changes with the Pr.Under the same magnetic field intensity,compared with the inclined magnetic field with a direction of 45° and the horizontal magnetic field,the vertical magnetic field has a weaker suppressive effect on the heat and mass transfer efficiency.
关键词
双扩散对流/直接数值模拟/高精度/磁场Key words
double-diffusive convection/direct numerical simulation/high accuracy/magnetic field引用本文复制引用
出版年
2024