The effect of viscous dissipation on forced convective heat transfer for a Couette–Poiseuille flow of a power-law fluid subjected to asymmetric thermal boundary conditions is investigated here. The Couette–Poiseuille flow studied is limited to one with a maximum velocity, where the location that corresponds to the maximum velocity has to be solved numerically. A new analytical expression is obtained for the Nusselt number, in terms of the heat flux ratio applied to the top and bottom parallel plates and in terms of the Brinkman number as defined for the power-law fluid. Present results, when reduced to a few special cases, are in excellent agreement with published results. An asymptotic Brinkman number is observed in the Nusselt number versus Brinkman number plot, which shows a sign change in for the range of power-law indices tested.
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Chan et al. (2015) studied this question.