Significance of magnetic field and Darcy–Forchheimer law on dynamics of Casson-Sutterby nanofluid subject to a stretching circular cylinder

Abstract

This article analyzes the time-independent performance of two-dimensional non-Newtonian nanofluid flow on a circular stretching cylinder. The Casson-Sutterby nanofluid is considered under the application of magnetic effects acting in the direction normal to the flow. Impacts of Brownian motion and thermophoresis are accounted for in this study. The governing PDEs are transformed into ODEs by invoking an adequate similarity transformation. The solution of reduced equations is obtained by applying the numerical technique bvp4c. A detailed graphical examination of the fluid flow is provided, and the dependence of velocity, temperature, and concentration profiles on different critical physical constraints is studied. The flow's velocity increases with increasing curvature values and Sutterby nanofluid parameters. However, it has an opposite reaction for magnetic, thermophoresis, sponginess, and Darcy resistance parameters. The flow temperature decreases with increasing curvature, magnetic field, and Sutterby nanofluid parameters, while it enhances the values of thermophoresis, sponginess, Darcy resistance, thermal relaxation time, and Brownian motion parameters. These findings play a significant role in industrial implementations like paper manufacturing, natural products, polymer industry, heating and cooling systems, 3D printer, biomedical flows, and mining industries.