Investigating thermal convection within porous media permeated by fluids and micro-organisms stands as a significant inquiry with broad relevance across geophysical and engineering domains. Studying convection within porous media can aid in controlling temperature and nutrient distribution for cell growth and tissue regeneration, as well as the efficiency of biofuel fermentation and production processes. Hence, the primary objective of this study is to investigate the influence of time-periodic gravitational forces on Darcy–Brinkman bio-thermal convection within a porous medium layer. This medium is saturated with a Newtonian fluid that encompasses gyrotactic micro-organisms. The gravity modulation amplitude is assumed to be very small. A weak nonlinear stability analysis is performed to analyze the stationary mode of bioconvection. The heat transport, measured by the Nusselt number, is governed by a non-autonomous Ginzburg–Landau equation. The research explores the influence of several parameters on heat transport, including the Vadaszs number, the modified bioconvective Rayleigh–Darcy number, cell eccentricity, modulation frequency, and modulation amplitude. The results are presented graphically, illustrating the impact of these parameters on heat transfer. The findings reveal that both the Vadaszs number and the modulation amplitude have a positive effect on heat transfer, enhancing the process. On the other hand, an increase in the modified bioconvection Rayleigh–Darcy number and cell eccentricity leads to a decrease in heat transfer. Furthermore, a comparison between the modulated and unmodulated systems indicates that the modulated systems have a more significant influence on the stability problem compared to the unmodulated systems. This highlights the effectiveness of external modulation in controlling heat transport within the system.
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14 September 2023
Research Article|
September 15 2023
Effect of gravity modulation on weakly nonlinear bio-thermal convection in a porous medium layer
M. I. Kopp
;
M. I. Kopp
a)
(Conceptualization, Formal analysis, Supervision, Validation, Visualization, Writing – original draft, Writing – review & editing)
1
Institute for Single Crystals, NAS Ukraine
, Nauky Ave. 60, Kharkov 61001, Ukraine
a)Author to whom correspondence should be addressed: michaelkopp0165@gmail.com
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V. V. Yanovsky
V. V. Yanovsky
(Conceptualization, Methodology, Supervision, Validation, Visualization, Writing – review & editing)
1
Institute for Single Crystals, NAS Ukraine
, Nauky Ave. 60, Kharkov 61001, Ukraine
2
The Department of Artificial Intelligence and Software, V. N. Karazin Kharkiv National University
, 4 Svobody Sq., Kharkov 61022, Ukraine
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a)Author to whom correspondence should be addressed: michaelkopp0165@gmail.com
J. Appl. Phys. 134, 104702 (2023)
Article history
Received:
June 27 2023
Accepted:
August 28 2023
Citation
M. I. Kopp, V. V. Yanovsky; Effect of gravity modulation on weakly nonlinear bio-thermal convection in a porous medium layer. J. Appl. Phys. 14 September 2023; 134 (10): 104702. https://doi.org/10.1063/5.0165178
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