Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
785366 | International Journal of Non-Linear Mechanics | 2006 | 8 Pages |
Abstract
Lie groups are used to solve the equation governing the flow of a thin liquid film subject to centrifugal spreading and viscous resistance. A new implicit solution is found. It is shown how this relates to the previous known solutions for the spreading of an initially flat film, the steady state and a separable solution. New permissible forms for the film evolution are also studied, including solutions exhibiting finite time blow-up. Near the contact line, where the film height tends to zero, an approximate explicit solution is obtained which may be used to describe a film with any size contact angle.
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
E. Momoniat, T.G. Myers,