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Interfacial Phenomena and Heat Transfer
ESCI

ISSN Print: 2169-2785
ISSN Online: 2167-857X

Open Access

Interfacial Phenomena and Heat Transfer

DOI: 10.1615/InterfacPhenomHeatTransfer.2017021016
pages 293-304

FILM FLOW WITH LOCAL HEATING: ANALYSIS OF 2D STRUCTURE INSTABILITY

Oleg Sharypov
Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia

ABSTRACT

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.


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