Closed-form solution of a thermocapillary free-film problem due to Pukhnachev

DOI10.1017/S095679251500008XzbMath1387.76032MaRDI QIDQ4594555

Matthias Langer, Stephen K. Wilson, Brian R. Duffy

Publication date: 24 November 2017

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

non-isothermal flowthermocapillarityfree filmpukhnachev

Mathematics Subject Classification ID

Thin fluid films (76A20) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (1)

Exact solution for Couette-type steady convective concentration flows

Cites Work

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• Steady-state conditions of a nonisothermal film with a heat-insulated free boundary
• A model of film deformation and rupture under the action of thermocapillary forces
• The third-order differential equation arising in thin-film flows and relevant to Tanner's law
• A Numerical and Asymptotic Study of Some Third-Order Ordinary Differential Equations Relevant to Draining and Coating Flows
• Existence of receding and advancing contact lines
• Model of a viscous layer deformation by thermocapillary forces
• Moving Contact Lines: Scales, Regimes, and Dynamical Transitions
• Equilibrium of a free nonisothermal liquid film

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