https://doi.org/10.1140/epjp/s13360-025-06030-8
Regular Article
Effect of heating or cooling in a suspension of phototactic algae with no-slip boundary conditions
Department of Mathematics, PDPM Indian Institute of Information Technology Design and Manufacturing, 482005, Jabalpur, India
Received:
15
October
2024
Accepted:
15
January
2025
Published online:
28
January
2025
This study presents a comprehensive analysis of the influence of temperature on bioconvective patterns in an algal suspension, exposed to collimated irradiation from above and heating or cooling from below. The linear stability analysis predicts that the critical bioconvective Rayleigh number is inversely related to the thermal Rayleigh number, suggesting a pronounced destabilization when the system is heated from below, and enhanced stability under cooling conditions. Additionally, the pattern wavelength increases as the thermal Rayleigh number decreases. Furthermore, the results reveal that reducing the critical light intensity and increasing cell motility can significantly bolster the system’s stability. This study also predicts the emergence of limit cycles and/or orbits via bifurcation analysis. These insights advance our understanding of thermal convective interactions in photo-driven bioconvection, with potential implications for optimizing bioreactor designs and other applications involving microalgal systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
