Publicado 4 números por año
ISSN Imprimir: 2169-2785
ISSN En Línea: 2167-857X
IF:
0.5
5-Year IF:
0.8
Immediacy Index:
0.2
Eigenfactor:
0.00018
JCI:
0.11
SJR:
0.286
SNIP:
1.032
CiteScore™::
1.6
H-Index:
10
Indexed in
NONLINEAR INSTABILITY OF A THIN FILM FLOWING DOWN A SMOOTHLY DEFORMED THICK WALL OF FINITE THERMAL CONDUCTIVITY
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SINOPSIS
The nonlinear instability of a thin film flowing down a heated, sinusoidally deformed thick wall of finite thermal conductivity is investigated. The stabilizing resonant effects of topography obtained in the isothermal case by Davalos-Orozco (2007, 2008) are investigated along with the stabilizing effects of the thickness and thermal conductivity of the wall found by Davalos-Orozco (2012). In contrast to the case of a very good thermal conducting wall, the Benney type evolution equation obtained here allows for the presence of topographic effects in the thermocapillary term. In the particular conditions of the problem investigated here, the important result is found that, due to the finite thickness and thermal conductivity of the wall, the film response to the wall deformation decreases in amplitude when the Marangoni number increases. This is due to the extra deformations which appear in the film response in the region near the thinnest part of the wall where its relative thermal conductivity is very high. By contrast, the amplitude of the time-dependent perturbations applied on the free surface increases with the Marangoni number Ma. That is, for fixed initial amplitude, they evolve in time and space to reach a saturation amplitude which increases with Ma. Furthermore, it is shown that it is still possible to stabilize those perturbations in the range of Marangoni numbers investigated when spatial resonance occurs.
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Dávalos-Orozco L.A., Sideband thermocapillary instability of a thin film flowing down the outside of a thick walled cylinder with finite thermal conductivity, International Journal of Non-Linear Mechanics, 109, 2019. Crossref
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Dávalos-Orozco L. A., Longwave Stability of Two Liquid Layers Coating Both Sides of a Thick Wall in the Absence of Gravity, Microgravity Science and Technology, 30, 3, 2018. Crossref
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Lappa Marcello, On the gravitational suppression of hydrothermal modes in liquid layers with a blockage on the bottom wall, International Journal of Thermal Sciences, 145, 2019. Crossref
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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
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Dávalos-Orozco L.A., Nonlinear longwave stability of two liquid layers coating both sides of a thick wall in presence of gravity, International Journal of Non-Linear Mechanics, 116, 2019. Crossref
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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