Lorenz approach for analysis of bioconvection instability of gyrotactic motile microorganisms

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

Chaos, Solitons & Fractals, 2023, vol. 166, issue C

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.

Keywords: Bioconvective flow; Gyrotactic microorganisms; Lorenz approach; Analytical and numerical methods; Stability criteria; Rayleigh number (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:166:y:2023:i:c:s0960077922011365

DOI: 10.1016/j.chaos.2022.112957

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