Significance of quadratic thermal radiation on the bioconvective flow of Ree-Eyring fluid through an inclined plate with viscous dissipation and chemical reaction: Non-Fourier heat flux model

Ree-Eyring model is a pseudoplastic model, which portrays the shear diminishing fluid flows. In this paper, the significance of quadratic thermal radiation on the dissipative bioconvective flow of Ree-Eyring nanofluid by an inclined plate with a chemical reaction is investigated. The non-Fourier heat flux model is included in the energy equation. A combination of shooting and Runge–Kutta 4th order procedure is used to get the preferred outcomes. Features of fluid flow, including heat transfer rate, are discussed using the correlation coefficient. The escalation in the Brownian motion parameter leads to the decrement in the fluid concentration. Thermophoresis parameter ameliorates the fluid temperature, and the concentration of microorganisms minimises with larger Schmidt and Peclet numbers. The heat transfer rate consumes a generous, positive affiliation with the thermal relaxation parameter, and the increment in the rate of heat transfer is 0.00954. The skin friction coefficient decreases with the increase in magnetic field parameter, and the decrement in skin friction coefficient is −0.74692. Mass transfer rate increases with the increase in chemical reaction parameter, and the increment in mass transfer rate is 0.14542. Furthermore, the outcomes of this study are compared with earlier results. © 2022 Informa UK Limited, trading as Taylor & Francis Group.