Second law analysis of two phase Maxwell mixed convective nanofluid using Marangoni flow and gyrotactic microorganism framed by rotating disk

This study scrutinizes the second law analysis in a mixed convective Maxwell fluid subject to the Marangoni flow with heat transport of nanofluid past a heated rotating disk in the presence of bioconvection. The energy equation has added the radiation and heat source/sink terms. A chemical reaction is taken into consideration when investigating mass transport. The model equations in the system of PDE's are transformed into ODE's through suitable transformation. The Homotopy analysis method and NDsolve are examined to solve the ODE's. The influences of various dimensionless variables on Bejan number, entropy generation, microorganism density, concentration, thermal distribution and velocity profile are inspected through appropriate graphs. The local Nusselt number, density of motile microorganisms, and Sherwood number are computed both numerically and graphically to establish correlations based on the pertinent key parameters. The results show that the velocity enhanced as the larger value of the mixed convective and Marangoni flow variable. In addition, Brikmann number boosts the entropy generation and Bejan number for the rotating disk. This discovery has implications for innovative bio-chromatography, food processing, membrane oxygenators and bio-chromatography.