Forced convective heat transfer between assemblages of spherical particles and power-law non-Newtonian liquids with velocity slip at the interface

摘要

Heat transfer from spheres can be influenced by a varying degree of slip at the fluid-particle interface along with the rheology of the surrounding continuous liquid and adjacent spheres. Thus in this study, the effects of dimensionless velocity slip parameter (λ) along with power-law fluid rheology and other pertinent kinematic flow and heat transfer parameters on isotherm contours, local and average Nusselt numbers of assemblages of spherical slip particles are presented. This is done by adopting a segregated approach where dimensionless momentum and energy equations are solved by SMAC algorithm formulated in spherical coordinates within the finite difference formulation. Before obtaining new results, grid independence studies for either extreme values of power-law consistency index of non-Newtonian fluids are carried out. Finally, the major contribution of this study is the development of a correlative equation for the average Nusselt number of assemblages of spherical slip particles in power-law fluids based on the present results (5880 data points) as a function of pertinent dimensionless parameters.