Heat transfer analysis in the time-dependent slip flow over a lubricated rotating disc

Abstract

In this paper, we have performed an analysis to study characteristics of heat transfer in unsteady flow past a lubricated rotating disc. A generalized Newtonian fluid obeying power law constitutive equation has been invoked to model the lubricant. A set of dimensionless coordinates is utilized to convert given partial differential equations into non-linear coupled ordinary differential equations. Interfacial conditions have been derived with the help of continuity of shear stress and velocity of the lubricant and core fluid. The obtained boundary value problems are numerically solved with the help of Keller-Box method. Impact of physical parameters in the presence of lubrication on fluid velocity, temperature and pressure is displayed graphically. The skin friction coefficients and local Nusselt number are examined through tables.