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MULTILINEAR CHARACTERISTICS OF RADIATIVE SWIRLING FLOW WITH QUARTIC AUTOCATALYTIC HOMOGENEOUS–HETEROGENEOUS REACTIONS OVER A ROTATING CYLINDER

Vidya K.B.¹

1. ¹ Govenment Science College, Chitradurga, India

Abstract

Swirling flow over rotating cylindrical bodies plays an essential role in many thermal and chemical processing devices. In such systems, the interaction of thermal radiation with nonlinear chemical reactions may significantly alter the heat and mass transport behavior. The present work investigates a steady, incompressible, electrically conducting swirling flow induced by a rotating stretching cylinder under the influence of an external magnetic field. The model incorporates a quartic autocatalytic homogeneous–heterogeneous chemical reaction mechanism with equal diffusivity, along with nonlinear quadratic thermal radiation. Using similarity transformations, the governing partial differential equations describing momentum, energy, and concentration fields are reduced into a coupled system of nonlinear ordinary differential equations. Numerical solutions are computed through MATLAB’s BVP4c algorithm. The impact of controlling parameters such as Reynolds number, magnetic parameter, radiation parameter, homogeneous reaction strength, heterogeneous reaction strength, Schmidt number, and Prandtl number on axial velocity, swirl velocity, radial velocity, temperature distribution, and concentration profiles is analyzed. Statistical verification is performed through multilinear regression and ANOVA analysis to confirm parameter sensitivity. Results indicate that increasing magnetic intensity suppresses velocity profiles due to Lorentz drag, whereas thermal radiation considerably enhances the thermal boundary layer. Sherwood number exhibits an increasing trend with magnetic parameter under weak reaction dominance, but becomes nearly insensitive under strong chemical activity. The findings provide meaningful insight for thermal reactors, catalytic transport processes, and industrial swirling flow applications.

Keywords: Swirling cylindernonlinear thermal radiationquartic autocatalysishomogeneous–heterogeneous reactionsmagnetic fieldregression analysis.

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Licensed under CC BY 4.0.