Onset of triply diffusive thermo-bio-convection in the presence of gyrotactic microorganisms and internal heating into an anisotropic porous medium: Oscillatory convection

Abstract

This paper accentuates different aspects of an important and novel triply-diffusive thermo-bio-convection instability problem in the presence of inconsistent internal heating and the gyrotactic microorganism species into an anisotropic porous fluid layer. This instability study may be important from the application point of view in microfluidic devices, enhanced oil recovery, antibiotics, and many other areas. The normal mode analysis and linear stability analysis along with the weighted Galerkin method are used to establish the instability criteria in terms of the thermal Rayleigh number for both the oscillatory and non-oscillatory modes of convection as a secular equation among prominent parameters used in this study. It is perceived that the presence of internal heating and gyrotactic microorganism species destabilize the suspension and fast forward the triply-diffusive thermo-bio-convection. It is also established that the increment of mechanical anisotropy hastens the convection and advances the heat transfer in the porous medium while mounting thermal anisotropy and the concentration of solutes constitute a stable system that postpones the onset of triply-diffusive thermo-bio-convection.