Brownian motion and thermophoresis impact on heat and mass transfer analysis of thermally radiative magnetic nanofluid flow inside a cavity with gyrotactic microorganisms

Magnetic nanoliquids mass and heat transfer features inside a cavity filled with gyrotactic microorganisms by captivating thermal radiation is analyzed in this analysis. Most versatile finite element method (FEM) is instigated to solve the transformed momentum, temperature, concentration of microorganisms, and concentration of nanoliquid equations numerically. Brownian motion (0.1 <= Nb <= 0.9)$( {0.1 \le {\mathrm{Nb}} \le 0.9} )$, Magnetic parameter (0.1 <= M <= 0.9)$( {0.1 \le {\mathrm{M}} \le 0.9} )$, Radiation (0.1 <= R <= 0.9)$( {0.1 \le {\mathrm{R}} \le 0.9} )$, Rayleigh number (100 <= Ra <= 300)$( {100 \le {\mathrm{Ra}} \le 300} )$, Buoyancy ratio (0.1 <= Nr <= 0.5)$( {0.1 \le {\mathrm{Nr}} \le 0.5} )$, Thermophoresis (0.1 <= Nt <= 0.9)$( {0.1 \le {\mathrm{Nt}} \le 0.9} )$, Lewis number (1 <= Le <= 10)$( {1 \le {\mathrm{Le}} \le 10} )$, Peclet number (1 <= Pe <= 5)$( {1 \le {\mathrm{Pe}} \le 5} )$, and Bio-convection Rayleigh number (0.1 <= Rb <= 0.9)$( {0.1 \le {\mathrm{Rb}} \le 0.9} )$ parameters influence on microorganisms isoconcentrations, nanoparticles isoconcentrations, isotherms, and streamlines inside the cavity is presented through plots. The sway of these influenced parameters on average Nusselt number, nanoparticles Sherwood number and microorganisms Sherwood numbers is also illustrated though graphs. It is perceived that the rate of heat transfer remarkably intensifies inside the cavity region with amplifying values of thermophoresis parameter.