Distance-Scaled Water Concentrations versus Mass-Median Drop Size, Temperature, and Altitude in Supercooled Clouds

Richard K. Jeck FAA, William J. Hughes Technical Center, Atlantic City International Airport, Atlantic City, New Jersey

Search for other papers by Richard K. Jeck in
Current site
Google Scholar
PubMed
Close
Restricted access

Abstract

About 28 000 nautical miles (n mi) of select in-flight measurements of liquid water content (LWC), droplet sizes, temperature, and other variables in supercooled clouds from a variety of research projects over portions of North America, Europe, and the northern oceans have been compiled into a computerized database for obtaining new statistics on the ranges, frequency of occurrence, and interrelationships of the variables.

The LWCs are averaged over uniform cloud intervals of variable length. LWC probabilities are then generated as a function of averaging distance, temperature, droplet mass-median diameter (MMD), altitude, and freezing-level height. These variously scaled LWCs (different averaging intervals from 1 s to 200 n mi) are easily accommodated by distance-based graphing (LWC versus averaging distance). These graphs provide realistic LWCs for modeling, and they can serve as a common reference for comparing LWC measurements over any averaging scale.

Maximum recorded LWCs are about 1.6 g m−3 in stratiform clouds and about 5 g m−3 in convective clouds, both over short (<0.5 km) distances. A sharp MMD mode near 15 μm appears to be a stable condition in which the LWCs can be the largest and extend the farthest. The larger the MMD above the mode, the shorter its spatial extent will be, the rarer its occurrence, and the lower the maximum LWC that can be present.

Corresponding author address: Richard K. Jeck, AJP-635, Flight Safety Research Branch, Federal Aviation Administration, Wm. J. Hughes Technical Center, Atlantic City International Airport, Atlantic City, NJ 08405. Email: richard.jeck@faa.gov

Abstract

About 28 000 nautical miles (n mi) of select in-flight measurements of liquid water content (LWC), droplet sizes, temperature, and other variables in supercooled clouds from a variety of research projects over portions of North America, Europe, and the northern oceans have been compiled into a computerized database for obtaining new statistics on the ranges, frequency of occurrence, and interrelationships of the variables.

The LWCs are averaged over uniform cloud intervals of variable length. LWC probabilities are then generated as a function of averaging distance, temperature, droplet mass-median diameter (MMD), altitude, and freezing-level height. These variously scaled LWCs (different averaging intervals from 1 s to 200 n mi) are easily accommodated by distance-based graphing (LWC versus averaging distance). These graphs provide realistic LWCs for modeling, and they can serve as a common reference for comparing LWC measurements over any averaging scale.

Maximum recorded LWCs are about 1.6 g m−3 in stratiform clouds and about 5 g m−3 in convective clouds, both over short (<0.5 km) distances. A sharp MMD mode near 15 μm appears to be a stable condition in which the LWCs can be the largest and extend the farthest. The larger the MMD above the mode, the shorter its spatial extent will be, the rarer its occurrence, and the lower the maximum LWC that can be present.

Corresponding author address: Richard K. Jeck, AJP-635, Flight Safety Research Branch, Federal Aviation Administration, Wm. J. Hughes Technical Center, Atlantic City International Airport, Atlantic City, NJ 08405. Email: richard.jeck@faa.gov

Save
  • Almeida, F. C., 1979: The effects of small-scale turbulent motions on the growth of a cloud droplet spectrum. J. Atmos. Sci., 36 , 15571563.

    • Search Google Scholar
    • Export Citation
  • Baumgardner, D., 1983: An analysis and comparison of five water droplet measuring instruments. J. Climate Appl. Meteor., 22 , 891910.

  • Borovikov, A. M., I. I. Gaivoronskii, E. G. Zak, V. V. Kostarev, I. P. Mazin, V. E. Minervin, A. K. Khrgian, and S. M. Shmeter, 1963: Cloud Physics. Israel Program for Scientific Translations, 392 pp.

    • Search Google Scholar
    • Export Citation
  • Brenguier, J. L., D. Baumgardner, and B. Baker, 1994: A review and discussion of processing algorithms for FSSP concentration measurements. J. Atmos. Oceanic Technol., 11 , 14091414.

    • Search Google Scholar
    • Export Citation
  • Brun, R. J., W. Lewis, P. J. Perkins, and J. S. Serafini, 1955: Impingement of cloud droplets on a cylinder and procedure for measuring liquid water content and droplet sizes in supercooled clouds by rotating multicylinder method. NACA Rep. 1215, 43 pp. [Available online at http://ntrs.nasa.gov/search.jsp.].

  • Cober, S. G., G. A. Isaac, A. V. Korolev, and J. W. Strapp, 2001: Assessing cloud-phase conditions. J. Appl. Meteor., 40 , 19671983.

  • Finstad, K. J., E. P. Lozowski, and L. Makkonen, 1988: On the median volume diameter approximation for droplet collection efficiency. J. Atmos. Sci., 45 , 40084012.

    • Search Google Scholar
    • Export Citation
  • Gardiner, B. A., and J. Hallett, 1985: Degradation of in-cloud forward scattering spectrometer probe measurements in the presence of ice particles. J. Atmos. Oceanic Technol., 2 , 171180.

    • Search Google Scholar
    • Export Citation
  • Gultepe, I., and G. A. Isaac, 1997: Liquid water content and temperature relationship from aircraft observations and its applicability to GCMs. J. Climate, 10 , 446452.

    • Search Google Scholar
    • Export Citation
  • Gultepe, I., and G. A. Isaac, 1999: Scale effects on averaging of cloud droplet and aerosol number concentrations: Observations and models. J. Climate, 12 , 12681279.

    • Search Google Scholar
    • Export Citation
  • Hacker, P. T., and R. G. Dorsch, 1951: A summary of meteorological conditions associated with aircraft icing and a proposed method of selecting design criterions for ice-protection equipment. NACA Tech. Note 2569, 35 pp. [Available online at http://ntrs.nasa.gov/search.jsp.].

  • Jeck, R. K., 1986: Airborne cloud-physics projects from 1974 through 1984. Bull. Amer. Meteor. Soc., 67 , 14731477.

  • Jones, A. R., and W. Lewis, 1949: A review of instruments developed for the measurement of the meteorological factors conducive to aircraft icing. NACA Research Memo. A9C09, 43 pp. [Available online at http://ntrs.nasa.gov/search.jsp.].

  • Jordan, J., J. Hallett, and R. Reinking, 1981: FACE-2 data reductions and analyses (prior to disclosure of the treatment decisions). Part IV. FACE-2 microphysical data for analyses of seeded and unseeded cumulus towers. NOAA Tech. Memo. ERL OWRM-9, 308 pp.

  • Kapur, K. C., and L. R. Lamberson, 1977: Reliability in Engineering Design. John Wiley & Sons, 586 pp.

  • Korolev, A. V., G. A. Isaac, I. P. Mazin, and H. W. Barker, 2001: Microphysical properties of continental clouds from in-situ measurements. Quart. J. Roy. Meteor. Soc., 127 , 21172151.

    • Search Google Scholar
    • Export Citation
  • Lewis, W., 1951: Meteorological aspects of aircraft icing. Compendium of Meteorology, T. F. Malone, Ed., Amer. Meteor. Soc., 1197–1203.

    • Search Google Scholar
    • Export Citation
  • Ludlam, F. H., 1951: The heat economy of a rimed cylinder. Quart. J. Roy. Meteor. Soc., 77 , 663666.

  • Mazin, I. P., 1995: Cloud water content in continental clouds of middle latitudes. Atmos. Res., 35 , 293297.

  • Nagel, D., U. Maixner, W. Strapp, and M. Wasey, 2007: Advancements in techniques for calibration and characterization of in situ optical particle measuring probes, and applications to the FSSP-100 probe. J. Atmos. Oceanic Technol., 24 , 745760.

    • Search Google Scholar
    • Export Citation
  • Perkins, P. J., 1959: Summary of statistical icing cloud data measured over United States and North Atlantic, Pacific, and Arctic Oceans during routine aircraft operations. NASA Memo. 1-19-59E, 89 pp.

  • Politovich, M. K., 1989: Aircraft icing caused by large supercooled droplets. J. Appl. Meteor., 28 , 856868.

  • Pruppacher, H. R., and J. D. Klett, 1980: Microphysics of Clouds and Precipitation. Reidel, 714 pp.

  • SAE, 2003: Calibration and acceptance of icing wind tunnels. Society of Automotive Engineers, Aerospace Recommended Practice Rep. ARP-5905, 65 pp.

  • Sand, W. R., W. A. Cooper, M. K. Politovich, and D. L. Veal, 1984: Icing conditions encountered by a research aircraft. J. Climate Appl. Meteor., 23 , 14271440.

    • Search Google Scholar
    • Export Citation
  • Smith, P. L., and Coauthors, 1984: HIPLEX-1: Experimental design and response variables. J. Climate Appl. Meteor., 23 , 497512.

  • Strapp, J. W., and R. S. Schemenauer, 1982: Calibrations of Johnson–Williams liquid water content meters in a high-speed icing tunnel. J. Appl. Meteor., 21 , 98108.

    • Search Google Scholar
    • Export Citation
  • Wilks, D. S., 1995: Statistical Methods in the Atmospheric Sciences. Academic Press, 465 pp.

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 201 120 0
PDF Downloads 51 24 0