Patterning behavior of gravitationally modulated supercritical Marangoni flow in liquid layers

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The objective of the present analysis is the investigation of hybrid convection induced by the joint influence of imposed vibrations (g-jitters) of desired amplitude and frequency and surface-tension-induced forces in a nonisothermal liquid layer. This study may be regarded as the natural extension of an earlier work [V. M. Shevtsova, I. Nepomnyashchy, and J. C. Legros, Phys. Rev. E 67, 066308 (2003)10.1103/PhysRevE.67.066308], where the focus was on convection driven by interacting thermocapillarity and steady gravity. As in that work, conditions are considered for which the unperturbed (vibrationless) Marangoni flow would be characterized by the emergence and propagation of a classical hydrothermal wave, namely, a supercritical thermofluidynamic disturbance propagating continuously in the upstream direction. A number of numerical results are analyzed and discussed. Regimes of quasistationary rolls, standing waves, traveling waves, and modulated (pulsotraveling) disturbances are identified in the considered space of parameters. Most interestingly, it is observed that traveling waves can reverse their direction of propagation in some specific regions of the phase space.

LanguageEnglish
Article number053107
Number of pages13
JournalPhysical Review E
Volume93
Issue number5
DOIs
Publication statusPublished - 12 May 2016

Fingerprint

Patterning
traveling waves
Traveling Wave
Convection
convection
disturbances
Disturbance
Liquid
Propagation
vibration
propagation
Standing Wave
Jitter
Liquids
Natural Extension
liquids
standing waves
Surface Tension
upstream
Reverse

Keywords

  • Marangoni flow
  • liquid layers
  • hydrothermal waves

Cite this

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abstract = "The objective of the present analysis is the investigation of hybrid convection induced by the joint influence of imposed vibrations (g-jitters) of desired amplitude and frequency and surface-tension-induced forces in a nonisothermal liquid layer. This study may be regarded as the natural extension of an earlier work [V. M. Shevtsova, I. Nepomnyashchy, and J. C. Legros, Phys. Rev. E 67, 066308 (2003)10.1103/PhysRevE.67.066308], where the focus was on convection driven by interacting thermocapillarity and steady gravity. As in that work, conditions are considered for which the unperturbed (vibrationless) Marangoni flow would be characterized by the emergence and propagation of a classical hydrothermal wave, namely, a supercritical thermofluidynamic disturbance propagating continuously in the upstream direction. A number of numerical results are analyzed and discussed. Regimes of quasistationary rolls, standing waves, traveling waves, and modulated (pulsotraveling) disturbances are identified in the considered space of parameters. Most interestingly, it is observed that traveling waves can reverse their direction of propagation in some specific regions of the phase space.",
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Patterning behavior of gravitationally modulated supercritical Marangoni flow in liquid layers. / Lappa, Marcello.

In: Physical Review E, Vol. 93, No. 5, 053107, 12.05.2016.

Research output: Contribution to journalArticle

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