Study of Arrhenius activation energy on the thermo-bioconvection nanofluid flow over a Riga plate

This article deals with a study of Arrhenius activation energy on thermo-bioconvection nanofluid propagates through a Riga plate. The Riga plate is filled with nanofluid and microorganisms suspended in the base fluid. The fluid is electrically conducting with a varying, parallel Lorentz force, which changes exponentially along the vertical direction, due to the lower electrical conductivity of the base fluid and the arrangements of the electric and magnetic fields at the lower plate. We consider only the electromagnetic body force over a Riga plate. The governing equations are formulated including the activation energy and viscous dissipation effects. Numerical results are obtained through the use of shooting method and are depicted graphically. It is noticed from the results that the magnetic field and the bioconvection Rayleigh number weaken the velocity profile. The bioconvection Schmidt and the Peclet number decrease the microorganism profile. The concentration profile is enhanced due to the increment in activation energy and the Brownian motion tends to increase the temperature profile. The latter is suppressed by an increment of the Prandtl number.

Automated summary

This article investigates the effects of Arrhenius activation energy and viscous dissipation on thermo-bioconvection nanofluid propagating through a Riga plate. Through numerical analysis, it is found that the magnetic field and bioconvection parameters weaken the velocity profile, while an increase in activation energy enhances the concentration profile. However, an increase in the Prandtl number suppresses the temperature profile changes.