C. Nouar et al., NUMERICAL-ANALYSIS OF THE THERMAL-CONVECTION FOR HERSCHEL-BULKLEY FLUIDS, International journal of heat and fluid flow, 16(3), 1995, pp. 223-232
This article presents a numerical analysis of the laminar forced conve
ction in a cylindrical duct for a thermodependent Herschel-Bulkley flu
id. Two boundary conditions are considered: constant wall heat flux an
d constant wall temperature. Both fluid flow and heat transfer are stu
died. The governing equations are solved using the finite difference m
ethod with an implicit scheme. It is assumed that all fluid properties
other than consistency K, are constant. The K-T relation used is K =
K-0 exp (- bT). The results obtained enable us to characterize complet
ely the dynamic and thermal fields structure. For a practical use of t
he computed results, correlations for local Nusselt number and pressur
e gradient are proposed taking into account the modification of the wa
ll shear rate induced by the theological properties and the temperatur
e-dependent character of the fluid.