Slip Flow Via Nonlinearly Stretching/Shrinking Sheet in A Carbon Nanotubes

Abstract

This study is to analyze the problem of slip flow via nonlinearly stretching/shrinking sheet in carbon nanotubes (CNTs) with suction/injection. The governing partial differential equations are transformed into nonlinear ordinary differential equations via the transformation of similarity. The bvp4c solver in Matlab is then used to resolve them numerically. Water is used as the base fluid together with single-wall and multi-wall CNTs. Both velocity slip and thermal slip are considered in this study. The flow parameters effect is investigated, shown in the form of a graph, and physically evaluated for the dimensionless velocity, temperature, skin friction, and Nusselt numbers. The results show that there are unique solutions for stretching sheets and non-unique solutions for shrinking sheets. In addition, increasing the velocity slip parameter , suction/injection parameter  and nonlinear parameter  widens the range of solutions, meanwhile increasing the thermal slip  causing the rate of heat transfer to decrease.