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Theory of thermal instability of the flow of a viscoelastic fluid

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Abstract

The problem of the stability of the flow of viscoelastic fluids has fundamental importance for the technology of the production of polymer products and viscosimetry. This problem is not reduced only to classical inertial turbulence. A number of other mechanisms leading to flow instability are known [1, 2]. A thermal mechanism based on the allowance for dissipative heating and elastic properties within the framework of a linear model of a viscoelastic fluid was drawn upon to explain this phenomenon in [1]. The possibility of a self-oscillatory mode of flow was demonstrated on the basis of a qualitative analysis of the theological equation and the equation of heat balance in application to simple shear flow and uniform stretching. A theoretical analysis of the self-heating of flowing systems possessing viscoelastic properties is carried out in the present report. The main laws of the thermal instability of viscoelastic fluids discovered in [1] are described.

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 115–122, May–June, 1979.

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Buchatskii, L.M., Stolin, A.M. & Khudyaev, S.I. Theory of thermal instability of the flow of a viscoelastic fluid. J Appl Mech Tech Phys 20, 350–355 (1979). https://doi.org/10.1007/BF00911693

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Keywords

  • Linear Model
  • Elastic Property
  • Industrial Mathematic
  • Shear Flow
  • Present Report