Effects of couple stresses on the heat transfer and entropy generation rates for a flow between parallel plates with constant heat flux

In this study, the flow and heat transfer of a fluid with couple stresses is investigated. The flow caused by the pressure gradient between parallel plates is considered as incompressible, steady and fully developed while the bottom plate is adiabatic and the upper plate is exposed to a constant heat flux. Governing equations, i.e. momentum and energy, are derived and solved analytically. Using the analytical results, effects of couple stresses on the Nusselt number as a heat transfer performance parameter and entropy generation rates in the channel are presented via graphs and tables. In addition, second law analysis is performed by calculating mean entropy generation rates and Bejan number along the channel height.