Abstract

The thermal effect on unsteady liquid film flow on a rotating disk is analyzed by asymptotic methods. By imposing a uniform temperature on the disk, we have examined the response of the fluid layer as the disk temperature is raised. The evolution equation describing the shape of thin liquid film interface as a function of space and time is derived, and an asymptotic radial dependent solution for the transient film thickness is obtained. Furthermore, numerical calculation was conducted for the case of uniform film thickness. The results reveal the effects of inertial, gravitational, surface tension, thermocapillary forces and variable viscosity on the transient film thickness.

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