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High Reynolds number liquid layer flow with flexible walls

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Abstract

The stability of liquid layer flow over an inclined flexible wall is studied using asymptotic methods based on the assumption that the Reynolds number is large. The flexible wall behaviour is described by a spring-plate model, and parameters chosen so that the wall flexibility affects the governing boundary layer problem. For the case of a rigid wall, the problem reverts to one studied by Gajjar. Asymptotic analysis of the governing equations leads to the triple-deck equations governing the interaction between the wall layer and the free-surface. The linearised and other solution properties of these set of equations are discussed.

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  1. School of Mathematics, University of Manchester, Manchester, M13 9PL, UK

    J S B GAJJAR

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  1. J S B GAJJAR
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Correspondence to J S B GAJJAR.

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GAJJAR, J.S.B. High Reynolds number liquid layer flow with flexible walls. Sadhana 40, 961–972 (2015). https://doi.org/10.1007/s12046-015-0346-x

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  • DOI: https://doi.org/10.1007/s12046-015-0346-x

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