Bio-sensing and solar thermal applications for the bio-convectionof Ree-Eyring model with Cataneo-Christov heat flux and motile microorganism over an elongating surface

Bioconvective nanofluid with the inclusion of the Ree-Eyring and Cattaneo-Christov heat flux presents significant attention because of its important applications in bio-sensing and solar thermal systems. These systems are based upon the thermodynamic transport mechanisms, which influence the interaction of motile microorganisms and binary chemical reactions that enhance thermal performance. The current analysis focuses on the bioconvection of Ree-Eyring MHD nanofluid movement over an elongating surface packed with a porous matrix for the interaction of inertial drag. Further, the heat transport phenomenon interacts with radiant heat, Brownian motion, and thermophoresis, enriching the profile. Moreover, the binary chemical reaction in concentration and microorganisms in the convection profile enrich the study. The theoretical framework presented for the problem is re-framed into ordinary by utilizing similarity variables. These transformed models are handled numerically for the utilization of shooting combined with Runge-Kutta fourth-order technique. The validation with the earlier published work is reported in particular cases. The physical significance of the characterizing factors affecting the flow phenomena is depicted via graphs and described briefly. The important outcomes of the study are elaborated as follows; the non-Newtonian Weissenberg number favors in enhancing the fluid velocity by dominating the Newtonian fluid behavior. Further, the bio-convective Lewis number attenuates the motile microorganism profile.