CONVECTIVE INSTABILITY OF BIOFLUIDS UNDER THE ACTION OF MICROORGANISMS


  • А.А. Avramenko Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
  • Yu.Yu. Kovetska Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
  • O.I. Skitsko Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
  • L.V. Oliinyk Institute of Engineering Thermophysics of the National Academy of Sciences of Ukraine
Keywords: Lorenz approach, strange attractor, gyrotactic microorganisms, criteria for the stability.

Abstract

The article presents the results of a study of the instability of the bioconvective flow of gyrotactic microorganisms in a flat vertical layer. When solving the problem, the Lorentz approach was used, which made it possible to determine boundaries of different flow regimes. The dependence of the criterion of monotonic stability on the geometric structure of the microorganisms is analyzed. Calculations indicated that the spherical shape of microorganisms contributes to the stabilization of the conditions of bioconvection. The effect of the Schmitt number on the criterion of oscillating stability is analyzed. It has been determined that for elliptical microorganisms at low Schmidt numbers (Sc<8) the process of oscillatory instability stabilizes. A relation was obtained for the critical Rayleigh number , which describes the conditions for the appearance of a strange attractor and undamped turbulent pulsations. The analysis showed that the dependence of for the constant values of the Schmidt number has a monotonically increasing character.

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Abstract views: 257
PDF Downloads: 199
Published
2023-02-02
How to Cite
AvramenkoА., Kovetska, Y., Skitsko, O., & Oliinyk, L. (2023). CONVECTIVE INSTABILITY OF BIOFLUIDS UNDER THE ACTION OF MICROORGANISMS. Thermophysics and Thermal Power Engineering, 45(1), 14-19. https://doi.org/https://doi.org/10.31472/ttpe.1.2023.2

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