Impact of exothermic/endothermic reactions and multiple slip on Williamson nanofluid flow past a Riga plate: Role of nanoparticle size and inter-particle spacing

• Williamson Ag/water nanofluid flow over a Riga plate is numerically investigated. • Effects of nanoparticle size and inter-particle spacing on transport are analyzed. • Endo/exothermic reactions and activation energy strongly affect thermal behavior. • Multi-slip, radiation, Brownian motion and thermophoresis are incorporated. • Numerical results are validated using Gaussian fuzzy logic predictions. The aim of this research is to investigate the impact of the nanoparticle radii and inter-particle spacing on the Williamson nanofluid flow past a Riga plate with endothermic/exothermic chemical reactions and multi-slip conditions. The discussed Williamson nanofluid is the combination of silver and water. The consequences of thermophoresis, activation energy, Brownian motion and nonlinear thermal radiation are also examined in this communication. Additionally, the existence of Ag nanoparticle remarkably escalates the thermal conductivity and is utilized in numerous technological and industrial applications, which include electrochemical processes, catalytic reactions, and electronic and optical devices. The governing mathematical models are formulated and subsequently reduced to a set of ordinary differential equations (ODEs) by applying suitable transformation variables. Numerical solutions of the resulting ODEs are obtained using the Matlab bvp5c scheme. Additionally, the Gaussian membership function is used to predict the output profiles. The variations of key non-dimensional parameters on the velocities, thermal, nanofluid concentration, motile microorganisms, skin friction, local Nusselt number, local Sherwood number and motile density microorganism are depicted graphically. A comparison between the present and previously reported results reveals excellent agreement. The novel findings reveal that an augmentation in nanoparticle volume fraction suppresses both directional velocity profiles. The thermal profile diminishes in the situation of an endothermic reaction parameter and rises due to improving the magnitude of the exothermic reaction parameter. The nanofluid concentration profile improves as the value of the activation energy factor intensifies. The microbial number reduces when amplifying the magnitude of the microorganism slip factor.