Abstract

The authors show how the Graetz-Nusselt problem in heat transfer theory may be extended to non-Newtonian flow. A simple rheological model, “the power law,” is used to obtain a partial differential equation for the temperature profiles, to which a semi-analytical solution may be found. The temperature profiles are then used to calculate average outlet temperatures, as well as Nusselt numbers for several degrees of non-Newtonian behaviour. Tables are given for estimating the effect of non-Newtonian flow on the heating and cooling of fluids in tubes.

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