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Relationships between Cloud Liquid Water, Cloud Droplet Number Concentration and Cloud Droplet Distribution for Summertime Convective Clouds in the Northern Plains. Justin K. Weber , Jeffrey S. Tilley 1 , David J. Delene , Matthew S. Gilmore.
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Relationships between Cloud Liquid Water, Cloud Droplet Number Concentration and Cloud Droplet Distribution for Summertime Convective Clouds in the Northern Plains Justin K. Weber, Jeffrey S. Tilley1, David J. Delene, Matthew S. Gilmore Department of Atmospheric Sciences University of North Dakota, Grand Forks, ND 58202 1Regional Weather Information Center
Background • Clouds have significant impact across both large and small timescales • Weather and climate NWS JetStream
Background Gamma distribution Two free parameters Cloud schemes holds both parameters fixed Shape (ν) = 1 Scale (β) = 3 Set of gamma distribution curves for integer values of the shape parameter from 1 to 10. The peaks of the curves shift progressively to the right asνincreases From Walko et. al (1995)
July 13, 2010 Background z = 591 m ν = 1.361 Observed *********** Fitted Distribution z = height above cloud base ν = computed shape parameter z = 157 m ν = 1.431
Background July 9, 2008 July 16, 2011 • No robust relationship across all cases
Methods and Data • Analyze spectra evolution • 1 Hz • Calculate shape parameter from 5 μm to 24 μm • Instrument data best above 5 μm • New growth cloud droplets below 24 μm
Methods and Data • Summertime Convective Cloud Studies • POLCAST 2 (2008) • Goodrich Corp. tests (2011) • Three Cases • Cloud penetration • Bimodal distribution • High shape parameter Forward Scattering Spectrometer Probe (2008), Courtesy Dave Delene Cloud Droplet Probe (2011)
Cloud Entrance Shape = 4.50
Results • Mean Diameter = β(3)*ν • Should be a relationship between shape parameter and mean diameter
Bimodal Distribution • Does this occur in the same volume or in different parts of a cloud? Cloud penetration lasting 22 seconds, ~2200 m
Bimodal Distribution • No shape parameter calculated. • Fitting gamma distribution to a multiple mode distribution
High Shape • Mixed phase • Temp range from -12 °C to -8 °C • High mean diameters
High Shape • 2D-C Probe • Records shadows as hydrometeors pass through a laser 2D-C Ice
Summary • Applying theory to observations is not straightforward • Limitations of using a gamma (single mode) distribution • Observations need appropriate filters
Future Work • Calculate shape parameter using 3 μm - 24 μm data • Piecewise fit for multimodal distributions • Apply 7 μm mean diameter filter to data
Acknowledgements • North Dakota Experimental Program to Stimulate Competitive Research (ND EPSCoR), through which the project was funded. • Mentorship, support, and opportunity I’ve received from Dr. Jeff Tilley, Dr. David Delene, and Dr. Matthew Gilmore