LAUSR

Abstract In this research article, we have discussed about the boundary layer flow of single walled CNT– engine oil nanofluid over three distinct nonlinearly slendering isothermal thin needles of cone, paraboloid and cylinder shapes with zero mass flux at boundary condition. We have considered the effects of diameter of SWCNT and solid–liquid interfacial layer in the thermal conductivity model of the nanofluid. We also combined single phase and double phase model to construct our model. Then after some transformations the governing equations are solved numerically and staged the effects of diameter of SWCNT and nanolayer on the characteristics of the flow through proper graphs and charts. Here, we observed that the presence of the SWCNT decreases both temperature and heat flow in the system. Also we established that cone shaped needle is the most affected by the material parameters of consideration.