Non-Darcy flow of water-based single (SWCNTs) and multiple (MWCNTs) walls carbon nanotubes with multiple slip conditions due to rotating disk

This article investigate additional physical results about the enhancement of thermophysical characteristics of carbon-water nanotube using engine and kerosene oils due to rotating porous disk. Flow in porous space is characterized by non-Darcy relation (Forchheimer medium). Both single (SWCNTs) and multiple (MWCNTs) walls carbon nanotubes are considered. Water is treated as a base material while kerosene and engine oils are used as nanomaterials. Furthermore temperature jump and partial slip is implemented at the disk surface. Transformations used lead to reduction of PDEs into ordinary ones. Optimal homotopy technique is utilized for solutions development. Optimal estimations of auxiliary variables are presented. Physics associated with the considered problem is discussed. Finally, both radial and axial velocities, tangential velocity, temperature, skin frictions and Nusselt number are analyzed fully for the outcome of physical variables. Finally, a flow diagram is presented to describe the physical features of SWCNTs and MWCNTs due to rotating disk.