Journal of Fluid Mechanics

On the stability of extending films: a model for the film casting process

Y. L.  Yeow a1
a1 Department of Mathematics, University of Singapore

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Isothermal Newtonian film flow is put forward as a simple model of the film casting process. Methods of linear hydrodynamic stability theory are applied to study the stability of the film flow. The relevant eigenvalue problems are formulated and solved numerically. Results are presented in the form of neutral-stability curves in the appropriate parameter space. For the case of two-dimensional disturbances stability results obtained here are compared with those of Pearson & Matovich (1969) and Gelder (1971) for the stability of isothermal Newtonian threadline flow.

(Published Online March 29 2006)
(Received September 25 1973)
(Revised April 10 1974)