Abstract

A theoretical analysis of the thermal effects on the free-surface film flow on a flat rotating disk is presented. Assuming a small aspect ratio of the initial film thickness to the disk radius and neglecting peripheral effects of the liquid film, the evolution equation describing the shape of thin liquid film interface is obtained as a function of space and time and is solved using perturbation analysis. The results reveal the effects of inertial, gravitational, surface-tension and thermocapillary forces and of variable viscosity on the film planarization and thinning. Among these, it was found that the variable viscosity has the most profound effect on the transient film thickness.

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