LAUSR

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).