Slip Flow Over an Exponentially Stretching/Shrinking Sheet in a Carbon Nanotubes with Heat Generation: Stability Analysis

Abstract

This study is to analyse the problem of slip flow via exponentially stretching/shrinking sheet in carbon nanotubes (CNTs) with heat generation effects. The governing partial differential equations are transformed into nonlinear ordinary differential equations via 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. The flow parameters effect is investigated, shown in the graphs form, 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, compared to the case of a linearly stretching/shrinking sheet, the region of the stretch/shrink parameter where the similarity solution exists for the case of exponential stretching/shrinking sheet is greater.