Abstract
•Darcy-Forchheimer flow of carbon nanotubes is examined.•Flow is due to a rotating disk.•Flow saturating porous medium obeys Darcy-Forchheimer relation.•Results are achieved for both SWCNTs and MWCNTs.•Series solutions are obtained through optimal homotopy analysis method (OHAM).
The present communication deals with the Darcy-Forchheimer flow of water based carbon nanotubes (CNTs) due to a rotating disk. Results for single-wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes (MWCNTs) have been obtained and compared. Flow in porous medium is described by utilizing Darcy-Forchheimer model. Suitable transformations lead to strong nonlinear differential system. Optimal homotopy analysis method (OHAM) is employed for solution development of governing system. The optimal values of auxiliary parameters are obtained. Plots have been displayed in order to analyze how the velocity and temperature fields are affected by various pertinent variables. Further the skin friction coefficients and local Nusselt number have been graphically examined for both SWCNTs and MWCNTs. Our findings reveal that the skin friction coefficients and local Nusselt number are enhanced for larger values of nanoparticles volume fraction.