摘要：Bioconvection plays an inevitable role in introducing sustainable and environment-friendly fuel cell ***-mathematical modelling of such designs needs continuous refinements to achieve strong agreements in experimental and computational ***,microorganisms transport a miscellaneous palette of ingredients in manufacturing industrial goods particularly in fertilizer *** transfer characteristics of molecular structure are measured by a physical phenomenon which is allied with the transpiration of heat within *** by bioinspired fuel cells involved in near-surface flow phenomena,in the present article,we examine the transverse swimming of motile gyrotactic microorganisms numerically in a rheological Jeffery fluid near a stretching *** leading physical model is converted in a nonlinear system of ODEs through proper similarity alterations.A numerical technique called shooting method with R-K Fehlberg is applied via mathematical software and graphical presentations are *** influence of all relative physical constraints on velocity,temperature,concentration,and volume fraction of gyrotactic microorganisms is expressed *** is found that heat and mass flux at the surface as well as density of motile microorganism’s declines for Brownian motion and thermophoresis *** in tabular form is made with existing literature to validate the results for limiting cases with convective boundary conditions.