Partial filling of a porous medium in a channel of a certain configuration attracts attention, as it tends to enhance convective heat transfer while reducing pressure drop remarkably, as compared to a fully filled porous channel. In this study, forced convection heat transfer in a channel partially filled with a porous medium adjoining the wall is investigated analytically, where viscous dissipation is accounted for under local thermal nonequilibrium (LTNE) conditions. Because of viscous dissipation, the newly derived exact temperature profile reveals a magnified temperature difference between the fluid and solid phases and a more intense heat-flux bifurcation in cases where the heat transfer in the porous medium is dominated by solid conduction. The Nusselt-number depiction as a function of Darcy number at a fixed porous medium thickness reveals the existence of a Darcy number that maximizes the Nusselt number and highlights the competition between the convection heat transfer and heat source in the form of viscous dissipation, as Darcy number increases. The strong dependency of the Nusselt number on Brinkman number, in cases where the thermal resistance to fluid conduction is dominant, demonstrates the importance of incorporating viscous dissipation effects to the temperature field under LTNE condition.

多孔介质在某种结构的通道中的部分填充引起了人们的注意，因为与完全填充的多孔通道相比，它往往会增强对流传热，同时显着降低压降。在这项研究中，分析研究了部分填充有多孔介质的通道中与壁相邻的强制对流热传递，其中在局部热非平衡 (LTNE) 条件下考虑了粘性耗散。由于粘性耗散，新推导出的精确温度分布显示，在多孔介质中的传热以固体传导为主的情况下，流体和固相之间的温差被放大，并且热流分叉更加强烈。Nusselt 数作为固定多孔介质厚度下 Darcy 数的函数的描述揭示了 Darcy 数的存在，该数使 Nusselt 数最大化，并突出了对流传热与粘性耗散形式的热源之间的竞争，如 Darcy数量增加。在流体传导的热阻占主导地位的情况下，努塞尔数对布林克曼数的强烈依赖性证明了在 LTNE 条件下将粘性耗散效应纳入温度场的重要性。