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ABSTRACT

The asymptotic behaviour of laminar forced convection in a circular duct, for a Herschel-Bulkley fluid with constant properties, is analysed by taking into account the viscous dissipation effects. The axial heat conduction in the fluid is neglected. The asymptotic temperature field and the asymptotic value of the Nusselt number are determined for every boundary condition that allows a fully developed region. Comparisons with other existing solutions for Newtonian and non-Newtonian cases are presented.

KEYWORDS

Laminar forced convection, viscous dissipation, Herschel-Bulkley fluid, asymptotic behaviour, variable wall heat flux.

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