Spheres in power-law liquids with velocity slip at solid-liquid interface : Momentum and heat transfer phenomena

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Fluid Flow in contact with solid particles occur in numerous applications such as fixed and fluidized bed reactors, pneumatic conveying, nuclear reactors, sedimentation, sewage sludge, coal combustion, airborne dynamics and suspension flows. On the other hand, velocity slip along the solid surface can arise in the case of aerosols, flow through porous materials, suspension, capillary flows, polymer flow through extruders and flow along smooth solid surfaces. Thus, the momentum and heat transfer from spheres can be affected by velocity slip at the fluid-solid interface as well as rheology of surrounding continuous liquid and adjacent spheres. Thus, in the present work, the momentum and heat transfer phenomena of a single spherical particle and those of assemblages of spheres in Newtonian and power-law liquids with linear velocity slip boundary condition at the fluid-solid interface are numerically analyzed. The effect of the velocity slip at fluid-solid interface is studied by the use of linear velocity slip model. While the effect of volume fraction of spheres in assemblages is deliberated by the use of free surface cell model. The flow behavior and heat transfer phenomena of single solid spheres and assemblages of spheres in Newtonian and power-law fluids are studied using a finite difference method based simplified marker and cell (SMAC) semi implicit algorithm. For computational simplicity sphere-in-sphere type computational domain has been chosen. Thus the governing continuity, momentum and energy equations are considered in spherical coordinates.
Supervisor: Nanda Kishore