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The onset of thermo-bioconvection in a shallow fluid saturated porous layer heated from below in a suspension of oxytactic microorganisms

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TLDR
In this article, the authors present a continuum model for thermo-bioconvection of oxytactic bacteria in a porous medium and investigate the combined effects of microorganisms' upswimming and heating from below on the stability of bioconvction in a horizontal layer filled with a fluid saturated porous medium.
Abstract
The aim of this paper is to present a continuum model for thermo-bioconvection of oxytactic bacteria in a porous medium and investigate the combined effects of microorganisms' upswimming and heating from below on the stability of bioconvection in a horizontal layer filled with a fluid saturated porous medium. Different from traditional bioconvection, thermo-bioconvection has two destabilizing mechanisms that contribute to creating the unstable density stratification. This problem may be relevant to a number of geophysical applications, such as the investigation of the dynamics of oxytactic species of thermophiles (heat loving microorganisms) living in hot springs, microbial-enhanced oil recovery, and modeling oil- and gas-bearing sedimentary basins. The utilization of the Galerkin method to solve a linear stability problem leads to a correlation between the critical value of the bioconvection Rayleigh number and the traditional “thermal” Rayleigh number.

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Citations
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Journal ArticleDOI

Nanofluid bioconvection in water-based suspensions containing nanoparticles and oxytactic microorganisms: oscillatory instability

TL;DR: This article investigates the stability of a novel type of a nanofluid that contains both nanoparticles and motile (oxytactic) microorganisms when it occupies a shallow horizontal layer and explains when the oscillatory mode of instability is possible in such system.
Journal ArticleDOI

Free convection boundary layer flow past a horizontal flat plate embedded in porous medium filled by nanofluid containing gyrotactic microorganisms

TL;DR: The steady boundary layer free convection flow past a horizontal flat plate embedded in a porous medium filled by a water-based nanofluid containing gyrotactic microorganisms is investigated in this article.
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MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip

TL;DR: In this paper, the combined effects of Navier slip and magnetic field on boundary layer flow with heat and mass transfer of a water-based nanofluid containing gyrotactic microorganisms over a vertical plate are investigated.
Journal ArticleDOI

MHD nanofluid bioconvection due to gyrotactic microorganisms over a convectively heat stretching sheet

TL;DR: In this article, the effects of the governing parameters on the dimensionless quantities like velocity, temperature, nanoparticle concentration, density of motile microorganisms, local Nusselt, and local Sherwood numbers for both nanoparticles and motile microscopic density are explored.
References
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Book

Convection in Porous Media

TL;DR: In this paper, an introduction to convection in porous media assumes the reader is familiar with basic fluid mechanics and heat transfer, going on to cover insulation of buildings, energy storage and recovery, geothermal reservoirs, nuclear waste disposal, chemical reactor engineering and the storage of heat-generating materials like grain and coal.
Book

The method of weighted residuals and variational principles

TL;DR: In this article, the method of Weighted Residuals is used to solve boundary-value problems in heat and mass transfer problems, and convergence and error bounds are established.
Book

The method of volume averaging

TL;DR: In this article, a single-phase flow in homogeneous Porous Media is described. But the single phase flow is not a single phase of the Darcy's Law. But it is a phase of a single flow in a two-phase system.
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