Bioconvective chemically reactive entropy optimized Cross-nano-material conveying oxytactic microorganisms over a flexible cylinder with Lorentz force and Arrhenius kinetics

Abstract

In this research study, an entropy assessment in the bioconvective Darcy–Forchheimer (DF) stream of MHD Cross nanofluid carrying oxytactic microbes past a flexible cylinder with velocity slip, Arrhenius kinetics, and chemical reaction is predicted. The Buongiorno model is used to expose random movement and thermophoresis phenomena. The simulated model equations are transmuted to coupled highly nonlinear ODEs by employing a suitable similarity transition and boundary-layer approximation. The resultant ODEs are tackled numerically using the RKF45 with the shooting approach via NDSolve in Mathematica software with specific ranges of parameters like 0.1≤We,λ,Gt,Gc,Rb,Ω,Ec≤0.4, 0.1≤M2,E,Pe≤2, 0.01≤γ≤0.2, π/5≤α≤π/2, 0.1≤S1,S2,S3,Kp≤0.7, 0≤Fr≤3, 0.01≤Nt,Nb≤0.4, 0≤K≤0.9, 0.1≤Lb,Sc≤0.5 and 0.2≤Pr≤3. The outcomes show that the velocity field slows down due to an elevation in the porosity parameter and Forchheimer number. The thermal, solutal and microbial profiles decline due to their respective stratification parameters. Furthermore, activation energy encourages the Sherwood number, but it is dropped significantly as the chemical reaction progresses. It is also worth noting that the porosity parameter and Forchheimer number promote entropy production rate, while an opposing attribute is assessed for higher activation energy.