Measurement of the vertical flux of turbulent kinetic energy with a single Doppler radar

The Doppler radar velocity azimuth display (VAD) technique for obtaining first and second moments of radial wind velocities is expanded to third-moment calculations. By scanning at an elevation angle of 50.8°, terms of the third-moment equation can be reduced to yield the vertical flux of turbulent kinetic energy, % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa0aaaeaace% WG3bGbauaaceWGXbGbauaaaaaaaa!3807!\\overline {w'q'} \]. The technique has been applied to summertime radar measurements of the convective boundary layer in Illinois. Resulting vertical profiles of % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa0aaaeaace% WG3bGbauaaceWGXbGbauaaaaaaaa!3807!\\overline {w'q'} \] follow the expected shape, and the magnitudes compare well with those of aircraft measurements in previous studies.