Ginzburg–Landau equations for the salt fingering region with the onset of microorganisms

Y.M. Gifteena Hingis and M. Muthtamilselvan

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 222, issue C, 90-109

Abstract: This work is an analytical investigation of Rayleigh–Bénard convection in the presence of microorganisms in the salt fingering region. The stream function is used to perform a two-dimensional stability study. The amplitudes of the functions are determined using the Lorenz technique, and the stationary curves are drawn with regard to the Rayleigh thermal number and wave number. The stationary curves depicted indicate the stable and unstable zones. The Ginzburg–Landau equation is solved analytically to determine heat and mass transmission. The Nusselt and Sherwood numbers are effectively represented, and a straightforward relationship is discovered using the Lewis number. Based on the results, it is concluded that, in contrast to constant wall temperature, where microorganisms cause Nusselt number attenuation in the majority of the considered cases, microorganisms improve heat transfer in all of the considered cases in linear temperature distribution. These new discoveries are expected to result in significant shifts in the usage of microbes in the heat transfer firms.

Keywords: Newtonian fluid; Rayleigh–Bénard convection; Lorenz model; Stationary curves; Perturbation amplitudes (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475423003245
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:222:y:2024:i:c:p:90-109

DOI: 10.1016/j.matcom.2023.07.030

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().