An Analytical Solution for Incompressible Flow Through Parallel Multiple Jets

Abstract

A theoretical model of multiple jet flow is introduced based on the thin shear layer theory. The analytical solution has been obtained by using Prandtl’s mixing length hypothesis. The results show that along the streamline direction, the axial velocity decreases gradually like a single jet and in the transverse direction, the velocity distribution changes as a cosinoidal function, in which the velocity amplitude decreases with increasing x, gradually approaching a flat profile. It is also shown that the distance at which the individual jets begin to merge increases with increasing pitch, s. For the special cases when the pitch, s is zero, the row of multiple jets becomes equivalent to a single jet. Finally, the predictive results are found to agree well with experimental data in the fully developed turbulent flow region.