Numerical analysis of mathematical model for heat and mass transfer through Bioconvective Maxwell nanofluid flow subject to Darcy-Forcheimer and Lorentz forces

The objective of this study to evaluate heat and mass transport rate of Maxwell nanofluid flow through a stretched medium in the existence of Darcy-Forcheimmer and Lorentz forces. In addition to above by involving motile micro-organisms the heat and mass transport done through the process of bioconvection. Thermal radiation, activation energy, Brownian motion, and thermophoresis effects on the flow rate through this are also investigated. The governing model of the flow problem consist of momentum, thermal, concentration, and microorganisms density equations, these equations are in the form of non-linear partial differential equations. To transform these non-linear partial differential equations (PDE's) to dimensionless non-linear ordinary differential equations (ODE's), we introduced couple of similarity variables. For numerical treatment of governing non-linear ODE's, MATLAB built in 'bvp4c' solver along with shooting technique utilized. In graphical outcomes, the impact of various physical variables over the momentum, temporal, concentration, and micro-organism descriptions are elaborated briefly. The impact of deborah number on the velocity profile, by increasing the count of Deborah number the velocity profile become decrease. The effect of Lewis number over the concentration depiction, the rise in profile caused by maximizing the values of parameter. The rate of flow of mass and heat transport become increase while the values of thermophoretic parameter increases. Microorganism's profile decreases on increasing the Peclet number. In tabular analysis, the impacts of physical variables on the local skin friction, Nusselt number, Sherwood number, and microorganism density number are evaluated. All the physical quantities numerics computed by fixing the values of parameters as 0.2 < lambda < 0.6, 0.3 < Nb < 0.5, 2.0 < Pr < 4.0, 5.0 < Le < 5.3, 3.0 < Lb < 5.0, 0.4 < Pe < 0.8, 0.2 < Nt < 0.4, 0.2 < Rb < 0.4. The computed results are fine as compared to previous published results.