Carbon nanotubes-water between stretchable rotating disks with convective boundary conditions: Darcy-Forchheimer scheme

Abstract

In this study, the problem of carbon nanotubes (CNTs) suspended in water between two stretchable rotating disks is discussed. This problem is vital in the industry due to several applications, including the cooling of continuous filaments, drawing plastic films, and metal mining. The Darcy-Forchheimer scheme with convective boundary conditions, suction/injection, and thermal radiation is considered. The governing nonlinear differential equations are solved using the Runge–Kutta-Fehlberg method cum shooting technique. The impacts of governing parameters on dimensionless velocity, temperature, skin friction, and Nusselt number are investigated. The current investigation's significant outcome is the enhancement of heat transfer rate with an increase in the nanoparticles volume fraction parameter and decreases the radial velocity and temperature. An enhancement in the skin friction with an increase in suction shows the opposite trend for SWCNT and MWCNT. Nusselt number also increases with an increase in radiation parameters for both carbon nanotubes.