The present paper examines the constant of an incompressible flow of a Nanofluid in an elastic tube. Nonlinear linked equations of temperature profile and nanoparticle phenomena are explained using Homotopy Perturbation Method (HPM). The variation of flux is determined by Rubinow and Keller method and by the Mazumdar method. The effects of numerous pertinent parameters on a variation of flux with the radius of the tube for a Nanofluid in an elastic tube are calculated and represented through graphs. The conclusions obtained for the present flow characteristics reveal many unusual behaviors that allow further study of physiological fluids in an elastic tube