Mean and Turbulent Velocities for Plane Jet

Expressions for the lateral mean velocity, stream function, mean vorticity, and Reynolds stress in the zone of established flow of a two-dimensional jet have been obtained, based on a Gaussian, axial, mean velocity distribution. Mean and turbulent velocity measurements in a water jet have been carried out using Pitot tube and electromagnetic induction (Magnetohydrodynamic MHD) probes. Based upon the experimental evidence, the following conclusions are made: (1) The mean and turbulent velocity distributions are the same for air and water jets at the same Reynolds number and relative locations; (2) turbulence measurements, using the MHD method, yield the correct velocity distribution; however, the magnitudes must be corrected for the effects of current density terms; (3) the autocorrelation and spectral density functions exhibit two regions of differing character, corresponding to macro and micro turbulent, eddy scales; and (4) the macro length scale increases linearly and the microscale increases in a nonlinear manner with distance from the slot discharge.