Investigation of hydromagnetic bioconvection flow of Oldroyd-B nanofluid past a porous stretching surface

This article focuses on the examination of various features of microorganism flow of Oldroyd-B nanofluid considering the effects of the magnetic field, porous medium, Joule heating, Brownian motion, mixed convection, thermal radiation, and thermophoresis. With the help of similarity transformations, the governing mathematical equations of the problem are reduced to the nonlinear ordinary differential equations. These equations are solved with the help of a MATLAB function named as bvp4c method. The most important outcomes of the study reveal that the rate of heat transport is boosting with the boosting values of Eckert and Prandtl number although the boosting values of thermophoresis and Brownian motion parameter cause to decline the Nusselt number. The Sherwood number is an increasing function of both thermophoresis and Schmidt number although it is declining with the boosting values of the solutal stratified parameters. Likewise, the transfer rate of microorganism is decreasing and increasing, respectively, with the boosting values of Peclet number, microorganisms' concentration difference parameter, and bio-convection Schmidt number.