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Revisiting Shikhmurzaev’s Approach to the Contact Line Problem by Amrita Ghosh; Barbara Niethammer; Juan J. L. Velázquez is a Mathematics article available to read on EtoBox.

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## Abstract In this paper, we revisit a model for the contact line problem which has been proposed by Shikhmurzaev (Int. J. Multiph. Flow 19(4):589–610, 1993). In the first part, in addition to rederiving the model, we study in detail the assumptions required to obtain the isothermal limit of the model. We also derive in this paper several lubrication approximation models, based on Shikhmurzaev’s approach. The first two lubrication models describe thin film flow of incompressible fluids on solid substrates, based on different orders of magnitude of the slip length parameter. The third lubrication model describes a meniscus formation where a wedge-shaped solid immerses in a thin film of fluid.

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Author

Amrita Ghosh; Barbara Niethammer; Juan J. L. Velázquez

Publisher

Springer Science and Business Media LLC

Published

2022

Language

EN

Field

Mathematics (Physical Sciences)