The flow of heat transfer study of carbon nanotubes (CNTs)–water nanofluid over vertical truncated wavy cone is considered. The present boundary layer power law fluid is analyzed near the truncated wavy cone. The considered cone is wavy in physical configuration and placed in a vertical direction. Moreover, nanosized particles of CNTs suspended into water (base fluid) are transporting in two directions, which are modeled by using Boussinesq's approximation. Coordinate transformation is applied in order to shift the wavy surface to a flat surface. Then governing equation dealing with the momentum of nanofluid along with thermal stratification are reduced in dimensionless form by using appropriate transformation. Results point out that the thickness of thermal boundary layer decreases by increasing the value of  volume fraction of carbon nanotubes. Finally, the obtained solution is related through a graphical survey, and it is inferred that the investigation is in good accordance with the current literature.