ISSN Print: 2169-2785
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Interfacial Phenomena and Heat Transfer
FILM FLOW WITH LOCAL HEATING: ANALYSIS OF 2D STRUCTURE INSTABILITY
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia
This paper is devoted to the analytical study of the stability of a two-dimensional (2D) structure of liquid film flow with local heating. The limiting irrotational 2D steady-state solution for a gravity-driven non-isothermal thin film (including the case with a moving heat source) is considered. The instability of this flow regime with respect to infinitesimal long-wavelength transverse perturbations is revealed, and the expression for the characteristic wavelength of unstable perturbation is derived. The dependence of a developing three-dimensional flow structure period on the main physical parameters is analyzed. Good accordance with the known experimental and theoretical data is obtained. The numerical solution to the quasi-linear evolution equation is presented.
KEY WORDS: thin liquid film, flow, local heating, thermal capillarity, two-dimensional (2D) critical regime, linear analysis of stability, periodic structure, quasi-linear evolution equation, numerical solution
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