Abstract

Abstract

Highlights

  • Mammatus clouds are a fascinating meteorological phenomenon

  • The necessary condition we find for our instability-driven mechanism is in broad agreement with Kanak, Straka & Schultz (2008), who find from numerical simulations that the evaporation/sublimation of water droplets is crucial to the formation of mammatus clouds

  • Root of the imposed disturbance wavelength λ: In contrast, for the settling-driven instabilities we report here, both linear stability results and nonlinear simulations suggest that (a) the wavelength of the instability increases with the settling velocity; (b) the growth rates of the instabilities decrease with increasing settling velocity; and (c) the structures that the light and heavy fluids take as they penetrate one another are asymmetric, even in the Boussinesq limit; the fluid in the density overhang which is heavier than the dry ambient air forms bubbles, while the dry air penetrates the density overhang in spikes

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Summary

Introduction

Mammatus clouds are a fascinating meteorological phenomenon Deriving their name from mamma, the Latin for ‘breast’, mammatus clouds are pendulous blobs, typically found hanging underneath cumulonimbus anvils (a photograph is reproduced in figure 1 and a schematic shown in figure 2a). A promising explanation is the fallout of ice particles or water droplets from the cumulus anvil into the subsaturated air below, suggested first almost a hundred years ago (Troeger 1921, cited by Schultz et al 2006), followed by the sublimation/evaporation of these hydrometeors This causes the layer of air just below the cloud (the ‘sub-cloud layer’) to become denser than the dry air below it. We find that the size of the water droplets matters more than the total amount of liquid water

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