Competition between stationary and oscillatory viscoelastic thermocapillary convection of a film coating a thick wall

In this paper new results on linear viscoelastic thermal Marangoni convection are presented. The constitutive equation assumed is that of the Maxwell viscoelastic fluid. The competition between stationary and oscillatory convection is shown by means of plots of codimension-two points where the corre...

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Bibliographic Details
Published in:International journal of thermal sciences 2015-03, Vol.89, p.164-173
Main Authors: Hernandez, IJHernandez, Davalos-Orozco, LA
Format: Article
Language:English
Subjects:
Codimension-two points
Competition
Convection
Marangoni convection
Thermal conductivity
Thermocapillarity
Thick films
Thick wall
Thick walls
Thin liquid film
Viscoelasticity
Walls
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Summary:In this paper new results on linear viscoelastic thermal Marangoni convection are presented. The constitutive equation assumed is that of the Maxwell viscoelastic fluid. The competition between stationary and oscillatory convection is shown by means of plots of codimension-two points where the corresponding critical Marangoni numbers are the same. The variation of these points is investigated in a wide range of magnitudes of the thickness and thermal conductivity of the wall. Also, a discussion is given about the dependence they have on the Biot number of the fluid-atmosphere interface. Besides, it is shown how the range of the viscoelastic relaxation time corresponding to this points is modified by the Prandtl number. •Thin liquid viscoelastic film.•Marangoni instability.•Competition between stationary and oscillatory convection.•Effect of thick wall with finite thermal conductivity.•Codimension-two points.
ISSN:1290-0729
1778-4166
DOI:10.1016/j.ijthermalsci.2014.11.003