This paper theoretically investigates the effects of wall conduction and viscous dissipation on a steady natural convection Couette flow in a vertical channel with some thickness of the bounding slabs. The coupled governing equations have been solved analytically using homotopy perturbation method. The effects of the flow and thermophysical parameters are depicted on graphs and tables. It is noteworthy to mention that the velocity and temperature distributions of the working fluid dropped near the heated plate when the thickness of the plates (d) is increased while a reverse case was observed near the cold plate. It is discovered that the shear stress increases on the cold plate with increase in (d) while it decreases on the heated plate. It is further observed that the rate of heat transfer on both the plates decreases with increase in (d) while it increases on the cold plate with growing viscous dissipation (Br). A decrease in rate of heat transfer was observed at the cold plate with increase in (d). For a fixed value of heat source/sink, the volume flow rate increases with increase in (d).

本文从理论上研究了壁面传导和粘性耗散对具有一定厚度边界板的垂直通道中稳定的自然对流库埃特流的影响。耦合控制方程已使用同伦微扰方法解析求解。在图表和表格中描述了流动和热物理参数的影响。值得注意的是，当板的厚度（d）增加时，工作流体的速度和温度分布在加热板附近下降，而在冷板附近观察到相反的情况。发现冷板上的剪应力随着 ( d) 而它在加热板上减少。进一步观察到，两个板的传热速率随着（d）的增加而降低，而在冷板上随着粘性耗散（ Br ）的增加而增加。随着（d）的增加，在冷板上观察到传热速率降低。对于固定值的热源/汇，体积流量随着（d）的增加而增加。