Computational analysis of sutterby nanofluid with heat and mass convective conditions: a comparative study of Riga plate and stationary plate

Abstract The purpose of current study is to analyze the Darcy–Forchheimer flow of sutterby nanofluid in porous media by accounting for both viscous and inertial effects. This flow model enables accurate modelling for industrial, environmental and biological applications, especially at higher flow rates. In this study, the flow of Sutterby nanofluid over a Riga plate is discussed, considering chemical reaction and heat radiation effects in the presence of first-order velocity slip. The nonlinear partial differential equations of this study are tackled by the application of the suitable transformations, which results in a new set of ordinary differential equations. The derived equations are subsequently analysed by an analytical methodology, the Homotopy Analysis Method. The impact of the acquired parameters on velocity, temperature, nanoparticle concentration, and motile microbe distribution is well detailed through diagrams and tables. The results indicate that the velocity of Sutterby nanofluid elevates with the change of the Deborah number. The temperature of Sutterby nanofluid grows with a higher heat generation parameter. The concentration of nanoparticles raises with an elevated solutal Biot number. The profiles of microorganisms drop as the bioconvection Lewis number improves. Also, current modelling offers initial guidance for various biotechnological and industrial uses.