Entropy minimization in Darcy Forchheimer on Sutterby nanofluid past a stretching surface with swimming of gyrotactic microorganisms

The aim of this paper is to determine the MHD flow of Darcy Forchheimer on the Sutter by nanofluid-induced bio-convection past stretching sheet. The heat sink/source heated and convective boundary conditions also included with entropy minimization are also considered. The governing PDEs are changed into nonlinear ODEs and then numerically utilized via the bvp4c method. The numerical values of skin friction, Nusselt number, Sherwood number and motile density profiles are revealed in tabular form. In comparison, other governing variables on velocity, temperature, concentration and bioconvection are seen through various plots and discussed. It is noted that fluid velocity reduces for a larger value of the porosity parameter. In addition, thermal boundary layer and concentration are reduced for both increasing values of Deborah number and chemical reaction parameter. Moreover, it has also been investigated that the shear-thinning fluid is entirely reversed from that of the shear thickening fluid. Further, the increase in the magnetic number accelerates the Bejan number and irreversibility ratio. Finally, the comparison has been made with previous literature and found an excellent agreement.