Numerical simulation of carbon nanotubes nanofluid flow over vertically moving disk with rotation

Abstract In this article, we explored the impact of magnetic field on nanofluid flow in the presence of SWCNT and MWCNT with water as a base fluid and flow is caused due to a vertically upward/downward moving rotating disk. The problem is constructed in such a way that the equilibrium of controlling the physical object is finally reduced for those conveyed in the traditional von Karman’s investigation of viscous pumping in a rotating disk. The framed partial differential equations (PDEs) are reduced into ordinary differential equations (ODES) by considering suitable similarity variables. The numerical solutions are obtained by using Runge–Kutta–Fehlberg’s fourth fifth order method (RKF-45) by adopting shooting technique. The computation of rate of heat transfer is analyzed​ through graphs. Further variation in velocity and thermal profiles for various dimensionless parameters are studied briefly and illustrated with the help of graphs. The outcomes reveal that, upsurge in expanding/contraction parameter increases the fluid velocity and it is more in MWCNT–water than SWCNT–water nanofluid flow. The escalation in values of magnetic parameter increases the thermal profile of both single and multi-wall CNTs with water based nanofluid but declines radial, azimuthal velocity profiles.