Numerical and experimental investigation of thermal convection for a thermodependent Herschel-Bulkley fluid in an annular duct with rotating inner cylinder (original) (raw)
1998, European Journal of Mechanics - B/Fluids
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Tamkang Journal of …, 2009
Laminar fully developed flow and heat transfer of Herschel-Bulkley fluids through rectangular duct is investigated numerically. The non-linear momentum and energy equations are solved numerically using finite-element approximations. We consider two cases of thermal boundary conditions H 1 and T thermal boundary conditions. The velocity, temperature profiles, product of friction factor-Reynolds number and Nusselt number for H 1 and T thermal boundary conditions are computed for various values of the physical parameters of the Herschel-Bulkley fluids and aspect ratio of the duct. The present results have been compared with the known solution for Newtonian and power-law fluids and are found to be in good agreement.
Laminar heat transfer for thermally developing flow of a herschel-bulkley fluid in a square duct
International Communications in Heat and Mass Transfer, 2000
Laminar heat transfer of a Herschel-Bulkley fluid in the entrance region of a square duct assuming fully developed velocity profile is investigated numerically. The non linear momentum equation in fully developed region is solved iteratively using a finite difference method to obtain the velocity distribution. Using the velocity profile, the energy equation with viscous dissipation effects is solved by using an implicit Crank-Nicolson method to obtain the temperature distributions. Computations have been obtained for two cases T and /-12 thermal botmdary conditions. The product of the friction factor and Reynolds number, bulk mean temperatures and local Nusselt numbers for the two cases have been represented for various value of the model parameters and the Brinkman number. The present results have been compared with the known solutions for Newtonian and powerlaw fluids and are found to be in good agreement.
Brazilian Journal of Chemical Engineering, 2001
Related momentum and energy equations describing the heat and fluid flow of Herschel-Bulkley fluids within concentric annular ducts are analytically solved using the classical integral transform technique, which permits accurate determination of parameters of practical interest in engineering such as friction factors and Nusselt numbers for the duct length. In analyzing the problem, thermally developing flow is assumed and the duct walls are subjected to boundary conditions of first kind. Results are computed for the velocity and temperature fields as well as for the parameters cited above with different power-law indices, yield numbers and aspect ratios. Comparisons are also made with previous work available in the literature, providing direct validation of the results and showing that they are consistent.
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