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Numerical investigation of heat transfer in a micro-porous-channel under variable wall heat flux and variable wall temperature boundary conditions using local thermal non-equilibrium model with internal heat generation

机译:壁热通量和壁温边界变化条件下微孔通道内传热的局部热非平衡模型研究

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The phenomenon of forced convective heat transfer with internal heat generation in a micro-channel filled with a porous material saturated with a rarefied gas is studied using finite element method by varying wall heat flux and wall temperature ratio under local thermal non-equilibrium (LTNE) conditions. The Darcy-Brinkman model is used to describe the flow inside the porous material. Numerical solutions are obtained for both the fluid and solid temperature distributions by considering the case A for variable wall heat fluxes, case B for variable wall temperature ratio and case C for temperature jump coefficient. The Nusselt number for the fluid at the channel walls is calculated. The effect of significant parameters such as Biot number, wall temperature ratio, fluid and solid internal heat generation, fluid to solid effective thermal conductivity ratio are discussed. Comparative study on Nusselt number is carried out in case A with constant wall heat flux as well as variable wall heat flux. The Nusselt numbers obtained for case B indicate a strong dependency on the variation of internal heat generation for Bi = 0.5. The velocity slip coefficient is found to have negligible effect on the Nusselt numbers for all the three cases.
机译:在局部热非平衡(LTNE)下,通过改变壁热通量和壁温比,通过有限元方法研究了在充满稀有气体的多孔材料填充的微通道中,内部产生热量的强制对流换热现象。条件。 Darcy-Brinkman模型用于描述多孔材料内部的流动。通过考虑情况A对壁热通量的变化情况,情况B对壁温比的变化情况和情况C对温度跃变系数的考虑,可以获得流体和固体温度分布的数值解。计算通道壁处流体的努塞尔数。讨论了诸如毕奥特数,壁温比,流体和固体内部生热,流体与固体有效热导率之类的重要参数的影响。在具有恒定壁热通量和可变壁热通量的情况A下,进行了努塞尔数的比较研究。对于情况B,获得的Nusselt值强烈依赖于Bi = 0.5时内部发热的变化。发现在所有三种情况下,速度滑移系数对Nusselt数的影响都可以忽略不计。

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