Investigation for brownian motion of nonlinear thermal bioconvective SPF in a nanofluid utilizing AGM method

An analysis of the bioconvective slump point flow of nanofluid is addressed. The studied nanofluid, which contains gyrotactic microorganisms, was investigated in a porous medium on a nonlinear tensile plate in which it was placed. The scaling group transformation approach converted the analyzed PDEs to ODEs. ODEs obtained are solved using the numerical method (rkf-45) and AGM, and the results are compared with DTM and RKF methods. The accuracy of the obtained answers is remarkable compared to the mentioned methods. An increase in the density of motile microorganism distribution caused by the increment in values of bioconvection Peclet number is desired. In addition, a rapid increase in heat transfer rate and mass transfer rate happens when there is an increase in the thermophoresis parameter, heat source parameter, chemical reaction parameter, and Brownian motion parameter in a sequence. In this study, we investigated the SPF of bioconvective nanofluids containing GM. It is observed that the flow velocity increases as Da⁻¹ decreases. As Rb increases, bioconvection increases. These studies may be used for biotechnological applications, such as the design of bioconjugates or the increase of mass transfer in microfluidics.