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Development of thermogravitation convection in a two-layer system in the presence of a surface-active material on the boundary

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Abstract

Convective instability of equilibrium in a system of two horizontal layers of immiscible liquids, caused by the Rayleigh instability mechanism, has been studied within the framework of the linear theory in [1–5]. The present study will investigate the effect of a surface-active material (SAM), deposited on the boundary between the liquids, on the development of thermogravitation convection. Calculations were performed for two types of systems, which in the absence of a SAM show instability of a monotonic or an oscillatory character. A new type of oscillatory equilibrium instability was observed, produced by the effect of the SAM. In some region of parameter values the oscillatory instability may prove to be the more dangerous one. The action of the Marangoni effect on thermogravitation oscillations is considered.

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 76–81, September–October, 1986.

In conclusion, the authors express their gratitude to E. M. Zhukhovitskii for his helpful evaluation.

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Gilev, A.Y., Nepomnyashchii, A.A. & Simanovskii, I.B. Development of thermogravitation convection in a two-layer system in the presence of a surface-active material on the boundary. J Appl Mech Tech Phys 27, 698–702 (1986). https://doi.org/10.1007/BF00916141

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Keywords

  • Convection
  • Mathematical Modeling
  • Mechanical Engineer
  • Industrial Mathematic
  • Linear Theory