An analytical solution for incompressible flow through parallel multiple jets

A theoretical model of multiple jet flow is introduced based on the thin sh ear layer theory. The analytical solution has been obtained by using Prandt l's mixing length hypothesis. The results show that along the streamline di rection, the axial velocity decreases gradually like a single jet and in th e transverse direction, the velocity distribution changes as a cosinoidal f unction, in which the velocity amplitude decreases with increasing x, gradu ally approaching a flat profile. It is also shown that the distance at whic h the individual jets begin to merge increases with increasing pitch, s. Fo r the special cases when the pitch, s is zero, the row of multiple jets bec omes equivalent to a single jet. Finally, the predictive results are found to agree well with experimental data in the fully developed turbulent flow region.