An energy budget for waves and turbulence within an inversion

Several features of the maintenance of breaking gravity waves and turbulence in a marine inversion are examined. A formulation is proposed for a critical Richardson number based on a mutual response of the mean and turbulent states to a wave-like disturbance. The energy balance, based on averaged aircraft soundings, is examined to ascertain the order of magnitude of the component terms in the vicinity of a contemporaneous radar echo. Some physical mechanisms are discussed which may explain some aspects of the sustained existence of the echo layers.After preparation of this paper, a considerable number of pertinent and up-dated results bearing on waves and turbulence in stable layers were published as Volume 4 ofBoundary-Layer Meteorology, April 1973. The present discussion should be considered in relation to these papers and of Gossardet al. (1973) and Metcalf and Atlas (1973) in particular.