The stability of bio-thermal Marangoni convection in a fluid layer containing oxytactic microorganisms

The stability of bio-thermal Marangoni convection in a horizontal layer of fluid containing motile oxytactic microorganisms is investigated. The analysis of the instability caused by the upswimming of oxytactic microorganisms and by the temperature variation in the fluid layer is discussed using a linear stability analysis. The resulting equations of the problem are solved numerically using the Chebyshev spectral method. Results obtained showed that mode of instability can be either stationary or overstability depending on the range of the parameters’ values. Moreover, results showed that there is a correlation between the bioconvection Marangoni number and the thermal Marangoni number.

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