Volume 45 Issue 12
Dec.  2024
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CHEN Sisi, LI Xulong, ZHANG Chaonan, QIN Juanjuan, ZHAO Bingxin. Numerical Simulations of Double-Diffusive Convection in Different Liquid Metals Under Magnetic Fields[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1473-1482. doi: 10.21656/1000-0887.440347
Citation: CHEN Sisi, LI Xulong, ZHANG Chaonan, QIN Juanjuan, ZHAO Bingxin. Numerical Simulations of Double-Diffusive Convection in Different Liquid Metals Under Magnetic Fields[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1473-1482. doi: 10.21656/1000-0887.440347

Numerical Simulations of Double-Diffusive Convection in Different Liquid Metals Under Magnetic Fields

doi: 10.21656/1000-0887.440347
Funds:

The National Science Foundation of China(12272196)

  • Received Date: 2023-12-05
  • Rev Recd Date: 2024-03-20
  • Available Online: 2024-12-27
  • With the high-precision and high-resolution numerical method, the dynamics of double-diffusive convection of different liquid metals in a long cavity under external magnetic fields in 2 directions was directly simulated, to reveal the influences of the fluid property parameter of Prandtl number Pr, the magnetic field direction 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 solution, 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.
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