Significance of thermal relaxation on energy transport of Maxwell fluid rotating over a cylindrical surface with homogeneous–heterogeneous reactions

Many industrial applications, including coating processes, roller bearing uses, and cooling gas turbine rotors, involve non-Newtonian fluid flow across rotating cylinders. The current study aims at evaluating the energy transport of the Maxwell fluid rotating over a horizontal cylindrical surface using the Cattaneo–Christov heat flux conduction model. This model predicts the properties of thermal relaxation by revising conventional Fourier's law. Isothermal cubic autocatalytic kinetics provides a homogeneous reaction, while first-order kinetics yields a heterogeneous reaction. With the help of transformations, the system of ODEs relating the equations for energy, momentum, and concentration is produced. For a numerical solution, the bvp4c scheme, which is based on the finite difference technique in Matlab 9.7 R2019b, is used. The importance of dominant parameters is displayed with the graphical depictions for axial, radial, and azimuthal flows, as well as temperature and concentration distributions. The noteworthy results illustrate that the Maxwell parameter has a declining influence on all velocity components. Further, thermal relaxation time causes a decline in the temperature field as well. Moreover, as the homogeneous–heterogeneous reaction parameters are increased, a reduction in fluid concentration is shown.