Abstract
Modern nanomaterials and their fiow dynamism processes promote complex chemical reactions that are necessary for the accurate synthesis of bespoke geometries at high temperatures. Such fiow processes are very intricate and involve viscous behavior along with mass and heat transfer. Such fiows mechanism can be controlled by external magnetic fields. Mathematical models offer an inexpensive opening into the fundamental properties of these dynamical processes. The homogeneous-heterogeneous reactions for nanofiuids fiow are established by invoking the Buongiorno's nanofiuid model, in which the homogeneous reactions are regulated by first order kinetics occurring in the fiowing liquid and the heterogeneous reactions are given by isothermal cubic autocatalytic kinetics. To testify the feasibility of this model, the steady, laminar Jaffrey-Hamel fiow problem in the converging conduit is extended to rheological model. The system steady states are evaluated under the scenario where the reactant and the catalyst's diffusion coefficients are equivalent. In order to investigate heat and mass transfer analysis, viscous dissipation affirmation, Joule heating, and homogeneous-heterogeneous reactions are incorporated. The mathematical model prevailing the dimensionless function, velocity for fiow, temperature for heat, and nanoparticles volume fraction for concentration are simulated numerically by means of Runge-Kutta method. The numerical algorithm has been validated in comparison to previously published research with extremely good agreement. The acquisition and detailed discussion of distributions of flow structure, heat, concentrations, and average Nusselt, Sherwood number at a wide range of critical characteristics. The fluid velocity in the conduit center increases significantly as the Reynolds number rises. By intensifying the magnetic field, the flow reversal control is accomplished. Applications in the allied domains have enormous promise since the ratio of Brownian and thermophoretic diffusivity has a significant impact on the transport mechanisms of homogeneous-heterogeneous processes. Chemical species A* and B* behave in fundamentally distinct ways in the reduced concentrations. (c) 2023 The Author(s). Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).