Summary
The stability of a layer of viscoelastic fluid heated from below is studied in the case that the instability is driven by surface-tension gradients at the upper surface. The operative parameter for instability is the Marangoni number and the critical value of this parameter is calculated as a function of Prandtl number, heat-transfer coefficient and elasticity parameters. It is shown that when the elasticity is very small instability sets in as steady convection, as for a Newtonian fluid, but at larger elasticities oscillatory convection is the first mode of instability to appear.
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Getachew, D., Rosenblat, S. Thermocapillary instability of a viscoelastic liquid layer. Acta Mechanica 55, 137–149 (1985). https://doi.org/10.1007/BF01267986
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DOI: https://doi.org/10.1007/BF01267986