周期性边界条件下多孔肋片电磁热弹性力学性能分析

Analysis of Electromagnetic Thermoelastic Mechanical Properties of Porous Fins under Periodic Boundary Condition

摘要: 基于Lord-Shulman 广义热弹性理论，本文研究了一维实心肋片、多孔肋片在竖直方向的均匀磁场作用下受瞬态热冲击的电磁热弹性耦合问题，通过数值方法求解控制方程，得到了温度和应力分布规律。此外，还研究了在非傅立叶条件下，多孔肋片的孔隙效应(Np)、对流效应(Nc)和辐射效应(Nr)对温度和应力的影响。结果表明：在非傅立叶条件下，孔隙效应、辐射效应和对流效应有利于传热的进行，多孔肋片的传热效率随各参数的增大而增大，且与其他参数相比，辐射效应对温度和应力的影响最显著。

Abstract: Based on the Lord-Shulman generalized thermoelastic theory, this paper studies the electromag-netic thermoelastic coupling problem of one-dimensional solid fins and porous fins subjected to transient thermal shock under the action of a vertical uniform magnetic field. The control equation is solved by numerical method, and the distribution of temperature and stress is obtained. In addi-tion, the effects of the pore effect (Np), convection effect (Nc) and radiation effect (Nr) on the tem-perature and stress of the porous rib are also studied. The results show that the pore effect, radia-tion effect and convection effect are beneficial to heat transfer under non-Fourierheat condition. The heat transfer efficiency of porous fin increases with the increase of parameters, and the radia-tion effect has the most significant effect on temperature and stress compared with other parame-ters.