Phototactic bioconvection in an algal suspension with a free top wall due to diffuse flux in the absence of direct collimated flux

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Autori principali: Rajput, S. K., Panda, M. K.
Natura: Preprint
Pubblicazione: 2024
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author Rajput, S. K.
Panda, M. K.
author_facet Rajput, S. K.
Panda, M. K.
contents In this article, the effect of diffuse flux in the absence of direct collimated flux on the onset of phototactic bioconvection is investigated. The main effect of diffuse flux in the absence of collimated flux is on the swimming behaviour of microorganisms in the suspension. At higher diffuse flux, the horizontal component of swimming orientation exhibits a higher magnitude, which slows the rate of pattern formation in the suspension. Also, the linear stability of the suspension predicts that the most unstable mode of disturbance transits from stationary (oscillatory) to oscillatory (stationary) at the variation in the magnitude of diffuse flux for some fixed parameters. The overstable nature of disturbance is mostly observed at the high value of swimming speed and extinction coefficient. Moreover, the suspension shows a more stable behaviour at the higher magnitude of diffuse flux.
format Preprint
id arxiv_https___arxiv_org_abs_2401_02336
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phototactic bioconvection in an algal suspension with a free top wall due to diffuse flux in the absence of direct collimated flux
Rajput, S. K.
Panda, M. K.
Dynamical Systems
In this article, the effect of diffuse flux in the absence of direct collimated flux on the onset of phototactic bioconvection is investigated. The main effect of diffuse flux in the absence of collimated flux is on the swimming behaviour of microorganisms in the suspension. At higher diffuse flux, the horizontal component of swimming orientation exhibits a higher magnitude, which slows the rate of pattern formation in the suspension. Also, the linear stability of the suspension predicts that the most unstable mode of disturbance transits from stationary (oscillatory) to oscillatory (stationary) at the variation in the magnitude of diffuse flux for some fixed parameters. The overstable nature of disturbance is mostly observed at the high value of swimming speed and extinction coefficient. Moreover, the suspension shows a more stable behaviour at the higher magnitude of diffuse flux.
title Phototactic bioconvection in an algal suspension with a free top wall due to diffuse flux in the absence of direct collimated flux
topic Dynamical Systems
url https://arxiv.org/abs/2401.02336