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外磁场下不同液态金属双扩散对流的数值模拟

陈思思 李许龙 张超男 秦娟娟 赵秉新

应用数学和力学2024,Vol.45Issue(12):1473-1482,10.
应用数学和力学2024,Vol.45Issue(12):1473-1482,10.DOI:10.21656/1000-0887.440347

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

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

分类

数理科学

引用本文复制引用

陈思思,李许龙,张超男,秦娟娟,赵秉新..外磁场下不同液态金属双扩散对流的数值模拟[J].应用数学和力学,2024,45(12):1473-1482,10.

基金项目

国家自然科学基金(12272196) (12272196)

宁夏自然科学基金(2022AAC03074 ()

2022AAC03011) ()

宁夏大学生创新创业项目(G202310749011) (G202310749011)

应用数学和力学

OA北大核心CSTPCD

1000-0887

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