The contact angle in inviscid fluid mechanics |
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Authors: | P N Shankar R Kidambi |
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Institution: | (1) Computational and Theoretical Fluid Dynamics Division, National Aerospace Laboratories, 560 017 Bangalore, India |
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Abstract: | We show that in general, the specification of a contact angle condition at the contact line in inviscid fluid motions is incompatible
with the classical field equations and boundary conditions generally applicable to them. The limited conditions under which
such a specification is permissible are derived; however, these include cases where the static meniscus is not flat. In view
of this situation, the status of the many ‘solutions’ in the literature which prescribe a contact angle in potential flows
comes into question. We suggest that these solutions which attempt to incorporate a phenomenological, but incompatible, condition
are in some, imprecise sense ‘weak-type solutions’; they satisfy or are likely to satisfy, at least in the limit, the governing
equations and boundary conditions everywhere except in the neighbourhood of the contact line. We discuss the implications
of the result for the analysis of inviscid flows with free surfaces. |
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Keywords: | Free surface flows inviscid contact angle finite amplitude motions |
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