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Lorenz approach for analysis of bioconvection instability of gyrotactic motile microorganisms

Author

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  • Avramenko, A.A.
  • Kovetska, Yu.Yu.
  • Shevchuk, I.V.

Abstract

The paper presents a low-dimensional model of bioconvective flow for gyrotactic microorganisms. The problem was solved based on the Lorenz approach. This model enabled determining boundaries of different flow regimes. With the help of analytical and numerical methods, four criteria for the stability of bioconvective flows were identified in the form of Rayleigh numbers. These criteria determine the boundaries of the onset of the regimes of monotonous bioconvection Racr1∗, oscillating instabilities Racr2∗, turbulent pulsations Racr3∗ and developed turbulent flow Racr4∗. The features of the dependences of the critical Rayleigh numbers on the Schmidt number and the parameter α0 (describing the geometric structure of microorganisms) are analyzed.

Suggested Citation

  • Avramenko, A.A. & Kovetska, Yu.Yu. & Shevchuk, I.V., 2023. "Lorenz approach for analysis of bioconvection instability of gyrotactic motile microorganisms," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    • Handle: RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922011365
    DOI: 10.1016/j.chaos.2022.112957
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    References listed on IDEAS

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    1. Avramenko, A.A. & Shevchuk, I.V. & Tyrinov, A.I., 2021. "Convective instability of nanofluids in vertical circular porous microchannels," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    2. Muhammad Imran Asjad & Saif Ur Rehman & Ali Ahmadian & Soheil Salahshour & Mehdi Salimi, 2021. "First Solution of Fractional Bioconvection with Power Law Kernel for a Vertical Surface," Mathematics, MDPI, vol. 9(12), pages 1-18, June.
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