This article investigates the bioconvection flow of Oldroyd-B nanomaterial toward an exponentially stretched surface considering the effect of Darcy-Brinkman-Forchheimer, nonlinear thermal radiation, buoyancy driven forces, and Arrhenius chemical reaction. Features of heat transport are presented in the presence of activation energy and thermal distinction. The variations of thermophoretic and Brownian motion are taken into account in thermal and concentration distribution. Nonlinear partial differential equations (PDEs) are transformed into set of ordinary differential equations (ODEs) by utilizing appropriate variables. The transformed expression are implemented through the homotopy approach. The effects of numerous associated variables on velocity, thermal, concentration, motile microorganisms, and Nusselt number are explained graphically. It is illustrated that the velocity curve decays for dimensionless relaxation time while the opposite behavior is noticed for the porosity factor. Thermal and mass transport rate escalated for Brownian motion. The outcomes also revealed that the motile microorganism’s density declined with the bioconvection Lewis variable.
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