ABSTRACT
Velocity slip along the solid surface can arise in the several applications such as aerosols, flow through porous materials, suspension, capillary flows, polymer flow through extruders, flow along smooth solid surfaces, and so forth. Thus, in this chapter, the effects of velocity slip and temperature jump on force convective heat transfer from spherical particles to Newtonian liquids have been numerically investigated. The governing dimensionless continuity, momentum and energy equations are solved using semi-implicit marker and cell algorithm implemented on a staggered grid arrangement in spherical coordinates. The present numerical results obtained in the range of dimensionless slip parameter (0.01 < λv < 100), temperature jump (0.01 < λT < 10), Prandtl number (1 < Pr < 100) at Reynolds number, Re = 20. The isotherm contours are presented for better understanding of heat transfer phenomena around spherical particles. Furthermore, the effects of dimensionless parameters on the local Nusselt and average Nusselt numbers are thoroughly discussed. The effect of slip and temperature jump on heat 462transfer affect in opposite manner, that is, large slip on the solid surface increases convection heat transfer along the solid surface, while large temperature jump decreases the heat transfer due to reducing the magnitude of the temperature gradient in the fluids.
