MHD flow of hybrid carbon nanotubes over a stretching/shrinking sheet with slip: heat transfer optimization

N. H. A. Norzawary¹ - N. Bachok^1,2

¹ Institute for Mathematical Research, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
² Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

Abstract
The emergence of hybrid carbon nanotubes presents a promising trend in enhancing heat transfer efficiency when compared to traditional fluids. This study delves into the innovation of employing hybrid carbon nanotubes in the context of a stretch/shrink sheet within the scope of MHD and slip parameter. To address this, the paper formulates partial differential equations governing the flow of a hybrid carbon nanotubes along with the pertinent boundary conditions, which are subsequently modified into ordinary differential equations. By employing similarity solutions and numerical techniques via bvp4c (MATLAB), the investigation examines the significances of MHD, both velocity and thermal slip, nanoparticle volume fraction and viscous dissipation influence on the local Nusselt number \Nu_x/√{\Rn_x} and skin friction coefficient C_f√{\Rn_x}. The findings reveal that the use of hybrid carbon nanotubes amplifies both C_f√{\Rn_x} and \Nu_x/√{\Rn_x} in comparison to single-wall and multi-wall structures. Accordingly, the response surface methodology is utilized to establish a correlation with the response of \Nu_x /√{\Rn_x} and selected governing parameters. Tables 12, Figs 12, Refs 34.