Analysis of moment of inertia and magnetic properties under varying magnetic fields via Touchard polynomials collocation technique

Abstract

The present article inspects the impact of the high-oscillating magnetic field (H-OMF) on the stream of a nanofluid via two parallel disks with the Cattaneo-Christov heat flux model. Additionally, the impact of homogeneous-heterogeneous chemical reactions and thermal radiation on the liquid motion is considered in the analysis. This method improves mass and heat transfer efficiency in chemical reactors, allowing accelerated reaction speeds and enhanced product yields. This integrated framework may enhance processes such as catalytic converters and promote sustainability in industrial applications. It is assumed that the lower disk is expandable and the upper disk is rotating. The governing partial differential equations (PDEs) are converted into ordinary differential equations (ODEs) by the use of appropriate similarity variables. The ODEs are solved numerically using the Touchard polynomials collocation technique (TPCMT). Further, the values obtained by TPCMT are compared with Runge Kutta Fehlberg's fourth-fifth order (RKF-45) approach. The outcome reveals that the rise in the values of the rotation parameter reduces the axial velocity profile. The thermal profile drops with the upsurge in the temperature relaxation parameter and enhances with the greater values of the radiation parameter.