![Page 1: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/1.jpg)
Clouds and cloud microphysics
Wojciech W. Grabowski
National Center for Atmospheric Research,
Boulder, Colorado, USA
(on collaborative leave at CNRM, Toulouse, France)
![Page 2: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/2.jpg)
Clouds and cloud microphysics
cloud microphysics: branch of cloud physics concerned with processes governing formation and growth of cloud
droplets and ice crystals in clouds, and formation of precipitation
![Page 3: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/3.jpg)
PLAN:
1. Cloud dynamics and microphysics: a small cumulus.
2. Cloud-physics textbook glance at (warm) cloud microphysics:
♠ Why and how clouds form?
♠ Once formed, how cloud droplets grow into raindrops?
3. Growth of cloud droplets in adiabatic cores. or Why do atmospheric scientists (cloud physicists) and physicists/mathematicians need to interact?
![Page 4: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/4.jpg)
Clouds form when the air reaches saturation (water saturation for warm clouds).
This is typically because of the vertical motion within the atmosphere.
small Cumulus humilis clouds only mark tops of boundary-layer eddies…
deeper Cumulus (mediocris or congestus) clouds have life (dynamics) of their own…
![Page 5: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/5.jpg)
cloud base(activation of cloud droplets)
airflow
interfacial instabilities
calm (low-turbulence) environment
turbulent cloud
![Page 6: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/6.jpg)
![Page 7: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/7.jpg)
(Austin et al. JAS 1985)
droplet spectra
vertical and along-track velocity
liquid water content
![Page 8: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/8.jpg)
(Austin et al. JAS 1985)
droplet spectra
vertical and along-track velocity
liquid water content
![Page 9: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/9.jpg)
![Page 10: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/10.jpg)
Gerber et al. (AMS Cloud Physics Conference, Madison, July 2006; published in JMSJ 2008)
![Page 11: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/11.jpg)
Turbulent entrainment is a fundamental feature of small convective clouds (and most of other clouds as well)…
![Page 12: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/12.jpg)
Blyth et al. (JAS 1988)
![Page 13: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/13.jpg)
Turbulent entrainment is a fundamental feature of small convective clouds (and most of other clouds as well)…
Where are these structures coming from?
![Page 14: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/14.jpg)
Cloud-environment interface instability
Klaassen and Clark (JAS 1984)Grabowski (JAS 1989)Grabowski and Clark (JAS 1991, 1993a, 1993b)
![Page 15: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/15.jpg)
Turbulent entrainment is a fundamental feature of small convective clouds (and most of other clouds as well)…
…but its impact on the spectrum of cloud droplets is still poorly understood.
![Page 16: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/16.jpg)
(Jensen et al. JAS 1985)
observed, adiabatic fraction AF ≈ 1; σR=1.3 μm
observed, AF ≈ 0.8; σR=1.8 μm
observed, AF ≈ 0.8; σR=1.3 μm
calculated adiabatic spectrum; σR=0.1 μm
observed, AF ≈ 1; bimodal
Observed cloud droplet spectra averaged over ~100m:
![Page 17: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/17.jpg)
Brenguier and Chaumat JAS 2001
Cloud droplet spectra in near-adiabatic cores using Fast FSSP
![Page 18: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/18.jpg)
Brenguier and Chaumat JAS 2001
Cloud droplet spectra in near-adiabatic cores using Fast FSSP
Effect of small dilution
Instrumental artifacts (coincidences), possibly some collisional growth
![Page 19: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/19.jpg)
Glance of textbook cloud physics for warm (ice-free) clouds:
- initial formation of cloud droplets (activation);
- growth by diffusion of water vapor;
- growth by collision-coalescence.
![Page 20: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/20.jpg)
What determines the concentration of cloud droplets?
To answer this, one needs to understand formation of cloud droplets, that is, the activation of cloud condensation nuclei (CCN).
This typically happens near the cloud base, when the rising air parcel approaches saturation.
![Page 21: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/21.jpg)
Surface tension (Kelvin) effect
Solute (Raoult) effect
Saturated water vapor pressure over an aqueous solution droplet with radius r
Saturated water vapor pressure over plain water surface
Saturation ratio:
Koehler (1921) theory
![Page 22: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/22.jpg)
ms=10-17 g
ms=10-16 g
ms=10-15 g
0.1 1. 10..01
Radius (micrometers)
Sat
urat
ion
ratio
S
-1%
1%
![Page 23: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/23.jpg)
environmental conditions
stable
unstable
haze particles activated droplets
![Page 24: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/24.jpg)
CCN, soluble salt particles, have different sizes.
Large CCN are nucleated first, activation of smaller ones follow as the supersaturation builds up.
Once sufficient number of CCN is activated, supersaturation levels off, and activation is completed.
In general, concentration of activated droplets depends on the updraft speed at the activation region and characteristics of CCN (e.g., clean maritime versus polluted continental).
![Page 25: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/25.jpg)
Activation of CCN:
N - total concentration of activated droplets
S – supersaturation (in %)
N = a S b
a, b – parameters characterizing CCN:
a ~ 100 cm-3 – pristine (e.g., maritime) air
a ~ 1,000 cm-3 – continental air
0 < b < 1 (typically, b=0.5)
![Page 26: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/26.jpg)
Growth of a droplet by diffusion of water vapor (growth by condensation):
Once droplets are larger than a few microns, Raoult and Kelvin effect can be neglected…
Large droplets grow slower than small ones: if the conditions experienced by the population is the same, the spectrum of cloud droplets will narrow with time (i.e., the height above cloud base)…
![Page 27: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/27.jpg)
Grazing trajectory
Growth of water droplets by gravitational collision-coalescence:
Note: droplet inertia is the key; without it, there will be no collisions…
Collision efficiency:
![Page 28: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/28.jpg)
Time scales for droplet growth by condensation and by collision-coalescence:
![Page 29: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/29.jpg)
Time scale for droplet growth by condensation:
For S=0.1%:
τd=103 sec for r=10μm; cloud droplet: several minutes
τd=105 sec for r=100μm; drizzle drop: hours
![Page 30: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/30.jpg)
Time scale for droplet growth by collision-coalescence:
Consider: Stokes droplets of mean size r and spectral width Δr (Δr<<r) Ec – collision efficiency qc – total liquid water content (kg/m3)
Assuming Δr ~ 2 μm, Ec ~ 1, qc ~ 3 g/m3 gives τc ~ 103 sec (tens of minutes) Look at the factors involved….
![Page 31: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/31.jpg)
How to model these processes?
♠ Multi-phase approach: following individual droplets; often used in DNS studies, impractical for LES and larger-scales.
♠ Continuous-medium approach: represent condensed water through mixing ratios (total mass of particles per unit of mass of air)
![Page 32: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/32.jpg)
![Page 33: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/33.jpg)
![Page 34: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/34.jpg)
![Page 35: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/35.jpg)
Geometry for gravitational collisions
![Page 36: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/36.jpg)
Bin model results (maritime conditions, w=5 m/s):
![Page 37: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/37.jpg)
Application of the bin-resolving microphysics to the problem of turbulent mixing between cloudy and clear air: cloud chamber mixing versus DNS simulation (Andrejczuk et al. JAS 2006).
30 cm
Such an approach can be used at very small scales (DNS with Δx = 2.5 mm)
![Page 38: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/38.jpg)
PLAN:
1. Cloud dynamics and microphysics: a small cumulus.
2. Cloud-physics textbook glance at (warm) cloud microphysics:
♠ Why and how clouds form?
♠ Once formed, how cloud droplets grow into raindrops?
3. Growth of cloud droplets in adiabatic cores. or Why do atmospheric scientists (cloud physicists) and physicists/mathematicians need to interact?
![Page 39: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/39.jpg)
Droplet inertial response time:
τp = 2ρwr2/9μ
ρw – water density (~103 kg m-3)
μ – air dynamic viscosity (~1.5∙10-5 kg m-1 s-1)
![Page 40: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/40.jpg)
Parameters describing interaction of cloud droplets with turbulence for the case of no gravity:
Stokes number: St = τp / τη
τp- droplet response time
τη – Kolmogorov timescale
![Page 41: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/41.jpg)
initial conditions solution at a later time
Kolmogorov scale
Clustering of nonsedimenting particles for St ~ 1
Shaw et al (JAS 1998)
![Page 42: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/42.jpg)
initial conditions solution at a later time
Kolmogorov scale
Clustering of nonsedimenting particles for St ~ 1
Is this how cloud microscale looks like?
Shaw et al (JAS 1998)
![Page 43: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/43.jpg)
Fast FSSP observations (near-adiabatic samples): remarkable agreement with Poisson (random) statistics:
Chaumat and Brenguier (JAS 2001)
![Page 44: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/44.jpg)
Parameters describing interaction of cloud droplets with turbulence for the case with gravity:
Stokes number: St = τp / τη
τp- droplet response time
τη – Kolmogorov timescale
Nondimensional sedimentation velocity: Sv = vp / vη
vp - droplet sedimentation velocity (gτp for small droplets)
vη – Kolmogorov velocity scale
![Page 45: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/45.jpg)
Vaillancourt et al. JAS 2002
DNS simulations with sedimenting droplets for conditions relevant to cloud physics (ε=160 cm2s-3)
Vorticity
(contour 15 s-1)
r=15 micron
r=20 micron
r=10 micron
![Page 46: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/46.jpg)
Vaillancourt and Yau (BAMS 2000)
Parameter space for cloud physics is different from the one traditionally looked at in DNS and laboratory experiments with particle-laden flows…
![Page 47: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/47.jpg)
The small differences from randomness have a small effect on droplet growth by diffusion of water vapor in adiabatic cores because droplets rearrange themselves rapidly…
Vaillancourt et al. (JAS 2002)
Lanotte et al. (JAS, in press): increasing Reynolds number does not help much…
DNS: <R> = 13 μm pseudo-LES: <R> = 5 μm
![Page 48: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/48.jpg)
Concluding comments:
Cloud-turbulence problem spans a wide range of spatial scales. For a small cumulus, this range is from a few hundred meters down to 1 mm (a typical mean distance between cloud droplets and, coincidentally, the typical Kolmogorov microscale for cloud turbulence). This is 5 to 6 decades. Since such a range will unlikely be resolved in DNS, multiscale approaches and theory should help us to understand the interactions between turbulence and cloud particles. This is why cloud physicist have to talk to theoretical physicists and mathematicians.
Laboratory, theoretical, and modeling studies across the fluid mechanics community have big impact on physicists and mathematicians. Unfortunately, these studies are often irrelevant to cloud physics. This is why physicists and mathematicians need to talk to cloud physicists.
![Page 49: Clouds and cloud microphysics Wojciech W. Grabowski National Center for Atmospheric Research, Boulder, Colorado, USA (on collaborative leave at CNRM, Toulouse,](https://reader038.vdocuments.net/reader038/viewer/2022110116/551b2dd05503465c7e8b478e/html5/thumbnails/49.jpg)
Concluding comments, cont:
Small-scale turbulence and resulting small preferential concentration has insignificant effect on cloud droplet growth by diffusion of water vapor in homogeneous (on larger scales) regions. This is mostly because of the short decorrelation time of the supersaturation field due to fast rearrangement of droplet positions. But turbulence has most likely a significant impact on droplet collisions.
Effects of entrainment and mixing is the key to understand droplet spectral evolution in clouds. This is a challenging problem because of the wide range of spatial and temporal scales, and difficulty in observations, laboratory, and modeling of these multiscale anisotropics processes. Yet effects of entrainmnet and mixing have far reaching consequences, for instance, for the mean albedo of the Earth.