1980
DOI: 10.1256/smsqj.44913
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The influence of entrainment on the evolution of cloud droplet spectra: I. A model of inhomogeneous mixing

Abstract: SUMMARYIn this, the first of two related papers, we present calculations of the growth of a population of condensate droplets rising above cloud base within small cumuli which are entraining undersaturated environmental air. It is assumed, on the basis of dimensional arguments and laboratory experiments on entrainment, conducted within a cloud droplet evolution tunnel, that this mixing process is inhomogeneous.In the extreme situation to which the calculations apply undersaturated air is entrained in a stream,… Show more

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Cited by 79 publications
(106 citation statements)
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“…Burnet and Brenguier, 2007). Latham and Reed (1977), Baker and Latham (1979) and Baker et al (1980) characterized mixing in terms of the relative time-scales of droplet evaporation and turbulent homogenization of a given control volume. If the length scale of the control volume lies within the inertial subrange of turbulence, then the ratio of these two time scales is the Damköhler number introduced in section 4.1.…”
Section: Homogeneous and Inhomogeneous Mixingmentioning
confidence: 99%
See 1 more Smart Citation
“…Burnet and Brenguier, 2007). Latham and Reed (1977), Baker and Latham (1979) and Baker et al (1980) characterized mixing in terms of the relative time-scales of droplet evaporation and turbulent homogenization of a given control volume. If the length scale of the control volume lies within the inertial subrange of turbulence, then the ratio of these two time scales is the Damköhler number introduced in section 4.1.…”
Section: Homogeneous and Inhomogeneous Mixingmentioning
confidence: 99%
“…Since τ s 10 s, mixing at scales greater than several metres will be inhomogeneous but not necessarily at centimetre scales. A length scale, l c = ε 1/2 τ 3/2 s , can be defined (Baker et al, 1980;Lehmann et al, 2009) at which there is a transition from inhomogeneous to homogeneous mixing (i.e. Da = 1).…”
Section: Homogeneous and Inhomogeneous Mixingmentioning
confidence: 99%
“…Various numerical simulations have thus been performed to quantify the potential contributions of various physical processes that might explain enhanced condensational droplet growth, such as giant cloud condensation nuclei (Johnson, 1982;Blyth et al, 2003) and entrainment and mixing (Baker et al, 1980;Telford et al, 1984) or enhanced coalescence by turbulence (Khain and Pinsky, 1997;Xue et al, 2008).…”
Section: Introductionmentioning
confidence: 99%
“…This size gap problem represents a longstanding challenge in the ongoing quest to understand the warm-rain initiation process. In the literature, various mechanisms have been proposed to accelerate rain development, such as small-scale turbulence (Vaillancourt and Yau, 2000), the 20 presence of giant aerosols (Johnson, 1982;Blyth et al, 2003;Jensen and Nugent, 2017), entrainment of unsaturated air (Baker et al, 1980;Lasher-trapp et al, 2005;Cooper et al, 2013) and large-eddy hopping (Cooper, 1989;Grabowski and Abade, 2017). This study focuses on the effect of small-scale turbulence containing eddies in the inertial-dissipative range with length-effect) and increase in the relative velocities between droplets (transport effect).…”
Section: Introductionmentioning
confidence: 99%