Mean and Turbulent Velocities for Plane Jet

by Walter C. Mih, Assoc. Hydr. Engr.; Albrook Hydr. Lab., and Assoc. Prof., Dept. of Civ. Engrg., Washington State Univ., Pullman, WA,
John A. Hoopes, Assoc. Prof.; Dept. of Civ. and Envir. Engrg., Univ. of Wisconsin, Madison, WI,

Serial Information: Journal of the Hydraulics Division, 1972, Vol. 98, Issue 7, Pg. 1275-1294

Document Type: Journal Paper


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.

Subject Headings: Velocity distribution | Fluid velocity | Density currents | Two-dimensional flow | Turbulent flow | Stress distribution | Jets (fluid) | Professional societies

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