Developing Region of Laminar Jets With Uniform Exit Velocity Profiles

Abstract

The integral form of the momentum and energy equations, subject to the boundary layer simplifications, are used to obtain an approximate solution for an axisymmetric laminar jet with a uniform profile at the nozzle exit. The solution is expressed in a closed form. The jet flow field is divided into a developing and developed region. In the developing region a potential core is assumed to exist, bounded by an annular free shear layer, Schlichting’s velocity profile for an axisymmetric laminar jet is assumed in the free shear layer. The present solution is compared with existing experimental and analytical results in the developing region. Also a graphical method for determining the potential core radius and the parameters of the assumed Schlichting profile is given.