The axisymmetric flow of a viscous heat conducting uniform liquid film on a rotating disk is considered and the governing equations are solved numerically. The model described highlights the effects of thermocapillary force and the effects of different spin-up protocols on the rate of thinning of the film on a rotating disk. © 2005 Published by The Japan Society of Fluid Mechanics and Elsevier B.V. All rights reserved.

Usha R

Department of Mathematics

Capillary flow

Finite difference method

Heat conduction

Liquids

Mathematical models

Navier Stokes equations

Rotating disks

Thin films

NONUNIFORM ROTATION

THERMOCAPILLARY EFFECTS

Thin liquid film

Viscous flow

LIQUID FILM

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IIT Madras

Fluid Dynamics Research

A numerical solution is obtained for the development of a conducting fluid film on the surface of a spinning disc, in the presence of a magnetic field applied perpendicular to the disc. A finite-difference method is employed to obtain the solution of Navier-Stokes equations modified to include magnetic forces due to MHD interactions. The combined effects of film inertia, acceleration of the disc and magnetic forces are analysed. The numerical results reveal that the rate of thinning of the fluid film is strongly influenced by the inertial and magnetic forces when the Reynolds number is large and that the existing asymptotic theory by Ray and Dandapat [24] is inadequate for predicting transient film thickness. When the disc has a finite acceleration at the start-up, the magnetic and inertia effects are important even at low Reynolds numbers and the thinning rate is reduced. It is observed that for both low and high Reynolds number flows, the film thickness increases with Hartmann number M for a fixed time and the rate of depletion is less for large M than for small M.

Acta Mechanica

Spinning of a liquid film from a rotating disc in the presence of a magnetic field - A numerical solution

Asymptotic analysis of the formation of thin liquid film in spin coating

Physics of Fluids

Unsteady flow of thin liquid film on a disk under nonuniform rotation

Journal of Physics D: Applied Physics

The effect of thermocapillarity on the flow of a thin liquid film on a rotating disc

International Journal of Non-Linear Mechanics

Film cooling on a rotating disk

Numerical study of a thin liquid film on a disk under non-uniform rotation - Thermocapillary effects

Journal	Fluid Dynamics Research
ISSN	01695983
Open Access	No