A Galerkin mixed finite-element method was used to predict the effect of fluid elasticity, temperature-dependent fluid properties, shear-dependent fluid properties, and viscous dissipation on the overall rate of heat transfer between a polymer melt and a sphere. A correlation is developed for the Nusselt number that accounts for changes in Péclet number, viscous dissipation, and a temperature-dependent viscosity function
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Westerberg et al. (1990) studied this question.
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