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Interfacial Phenomena and Heat Transfer

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ISSN Печать: 2169-2785

ISSN Онлайн: 2167-857X

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SIDEBAND THERMOCAPILLARY INSTABILITY OF A THIN FILM FLOWING DOWN THE INSIDE OF A THICK-WALLED CYLINDER WITH FINITE THERMAL CONDUCTIVITY

Том 6, Выпуск 3, 2018, pp. 239-251
DOI: 10.1615/InterfacPhenomHeatTransfer.2019029854
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Краткое описание

A liquid film is heated from the outside and cooled from the inside when flowing down the inside of a cylinder that has a thick wall with finite thermal conductivity. Here, the nonlinear sideband instability of the thermocapillary flow is investigated. In the literature it has been shown that thermocapillarity excites the appearance of azimuthal modes of linear instability. However, they are the most unstable for flow both inside and outside the cylinder. The linear axial mode is always the most unstable. The presence of a main flow contributes to stabilize the flow in some range of wave numbers. It is observed in experiments that the azimuthal modes, in fact, appear in the flow. Therefore, there is a need to find out the parameters' region, where the first azimuthal mode appears in the thermocapillary sideband instability. It is found that the parameter grouping a set of nondimensional numbers differs from that found in by Dávalos-Orozco (2019) by the sign in front of the surface tension number, which contributes to the appearance of the axial mode. This is in contrast to the thermocapillary effect on the sideband instability, which promotes the appearance of the first azimuthal mode in the parameters' region where the axial mode is nonlinearly unstable. It is also found that an increase of the ratio of thicknesses over the ratio of thermal conductivities decreases the thermocapillary effects.

ЦИТИРОВАНО В
  1. Dávalos-Orozco L. A., Nonlinear Sideband Thermocapillary Instability of a Thin Film Coating the Inside of a Thick Walled Cylinder with Finite Thermal Conductivity in the Absence of Gravity, Microgravity Science and Technology, 32, 2, 2020. Crossref

  2. Dong Longgang, Li Xuemei, Liu Rong, Effect of Thermocapillary on Absolute and Convective Instability of Film Flow of Self-Rewetting Fluid, Microgravity Science and Technology, 32, 3, 2020. Crossref

  3. Dávalos-Orozco L. A., Barrera Isabel M. Sánchez, Linear and Nonlinear Longwave Marangoni Stability of a Thin Liquid Film Above or Below a Thick Wall with Slip in the Presence of Microgravity, Microgravity Science and Technology, 34, 6, 2022. Crossref

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