✦ LIBER ✦

Similarity solutions of the lubrication equation

✍ Scribed by T.P. Witelski

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 421 KB
Volume: 10
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(97)00092-x

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✦ Synopsis

we present a method for constructing closed-form similarity solutions of the fourthorder nonlinear lubrication equation. By extending a technique used to study second-order degenerate diffusion problems, corresponding interface profiles and diffusion coefficient functions can be derived in exact form. Different classes of spreading and shrinking solutions are obtained using this approach.

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