Spreading of a thin film with suction or blowing including surface tension effects
نویسندگان
چکیده
In this paper we derive a fourth-order nonlinear partial differential equation modelling the effects of suction/blowing on the evolution of the free surface of a thin viscous film on a porous base. Gravity and surface tension effects are included. The suction/blowing is modelled as an arbitrary function vn(t, r). The Lie group classification method is used to determine a firstorder quasi-linear partial differential equation satisfied by vn(t, r). This equation is coupled with the model equation and solved numerically. New results are obtained which show how the free surface and the apparent contact angle vary with suction/blowing. c © 2007 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Computers & Mathematics with Applications
دوره 53 شماره
صفحات -
تاریخ انتشار 2007