LAUSR

This paper endeavours to provide an analysis for nanofluid boundary layer that develops beneath a generalized vortex flow subjected to viscous dissipation effects. Tangential flow high above the disk is assumed to vary with radial distance r as r m . Hybrid nanofluid comprises alumina- A l 2 O 3 and copper- Cu nanoparticles with water as base liquid. A generalized version of von Kármán relations proposed in a recent paper is opted to present self-similar solutions. In presence of viscous dissipation term, self-similar solutions are possible only when temperature difference is proportional to r 2 m . Otherwise, the solutions are only locally similar. Present model reduces to two special situations namely rigid body rotation ( m = 1 ) and potential vortex ( m = − 1 ) . It is perceived that inclusion of nanoparticles markedly affects the boundary layer development under the prescribed vortex flow, and the associated heat transfer process. Also, viscous dissipation term has important implications on the resulting heat transfer process.