Heat and mass transfer impact on bio-convective Maxwell fluid flow driven by Darcy–Forchheimer media under activation energy and pollutant discharge effects

The present article examines the waste discharge impact on concentration which influences fluid flow by changing its viscosity, which can slow the flow and result in pressure fluctuations. In wastewater treatment, elevated waste concentrations can cause clogging and decrease flow efficiency, ultimately affecting overall execution. The authors noticed that there was a deficit investigation on Bio-convective Maxwell equations in the circumstances of waste discharge concentration, magnetic field, activation energy, thermophoresis, and Brownian diffusions. The authors utilized the research gap. Governing equations are solved to ordinary differential equations by utilizing similar variables. Additionally, examining the entropy production and Bejan number were later solved using the numerical shooting method. Outcomes of the current analysis reveal that upsurging external pollutant and external source variation factors enhance the concentration profile. Enhancing the Peclet bio-Lewis number 1 to 4 reduces the microbial field by 20 %. Raising the porosity and magnetic field reduces the Bejan number. Enhancing the Brownian diffusion 1 to 2 reduces the concentration profile by 25 %. The accuracy achieved in this work is in close agreement with that observed in prior studies, supporting the validity of our methodology. Our investigation is considered original, as no prior studies have employed the same framework; moreover, the present results show strong agreement with previously published findings in terms of accuracy.