基于Brinkman-Forchheimer-extended Darcy流动模型和局部热平衡传热理论建立了流体横掠泡沫金属中等温光管的对流传热控制方程组,运用Runge-Kutta法和"打靶法"对方程组进行了数值求解,依据数值计算结果对流体流动与传热性能进行了分析,并得出了对流传热的Nusselt数关联式.结果表明,泡沫金属的孔隙率和孔密度(ppi)对强化传热起着至关重要的作用,但它的存在同时也增大了压力降,这为泡沫金属在换热器等化工设备上的实际应用提供了理论依据.
Based on the Brinkman-Forchheimer-extended Darcy momentum model and single-equation heat transfer theory,the governing equations of the fluid forced laminar flow across an isothermal pipe immersed in metal foam are established.The equations are integrated numerically by use of the Runge-Kutta method and shooting technique,The characteristics of fluid flow and heat transfer are researched.The results show that the porosity and the pore density play important roles in overall heat transfer performance,and the existence of metal foam also leads to higher pressure drop than that of plain pipe.In the end,the correlation of Nusselt number is propose from the numerical study.These provide theoretical basis for actual application in chemical equipments such as heat exchangers of metal foam.
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