Similarity Solution of Combined Convection Heat Transfer From a Rotating Cone or Disk to Non-Newtonian Fluids

Abstract

A powerful similarity solution of the highly nonlinear, coupled boundary-layer equations has been developed for steady laminar mixed convection heat transfer between a rotating cone/disk and power-law fluids. Of special interest are the effects of the power-law viscosity index, a generalized local Prandtl number, the buoyancy parameter, and the type of thermal wall condition on the velocity and temperature fields and hence the skin friction coefficient and the local Nusselt number. While the momentum boundary-layer thickness increases measurably with decreasing viscosity index n, the thermal boundary-layer thickness is less affected by changes in n. The magnitude and direction of the buoyancy force influence the upward velocity profile near the wall and the temperature profiles significantly. Both Prandtl number and buoyancy parameter have a more pronounced effect on the skin friction group, SFG ~ cf, than on the heat transfer group, HTG ~ Nu.

Computational modeling of magnetohydrodynamic convection from a rotating cone in orthotropic Darcian porous media

“…An excellent study of Newtonian laminar boundary layer convection on revolving disks and cones was presented by Lin and Lin [7]. A seminal study of mixed convection heat transfer in a non-Newtonian fluid from rotating cones/disks was reported by Wang and Kleinstreuer [8]. These theoretical investigations were largely directed at improving thermal designs of process equipment in the chemical industry.…”

Unsteady mixed convection flow of nanofluid on a rotating cone with magnetic field

“…They found that similar solutions are only possible when angular velocity is inversely proportional to time. Boundary layer on a rotating cones, disks and axisymmetric surfaces with a concentrated heat surface has been given by Wang and Kleinstreur (1990). Nonsimilar solutions to the heat transfer in unsteady mixed convection flows from a vertical cone is presented by Ishak et al (2010).…”