Abstract
The growth of hail in four different storms has been modeled successfully by a single procedure.
Using analyses (by others) of radar data, cloud photographs and aircraft measurements, a two-dimensional cloud model characterized by a sloping updraft is derived. Assuming the existence of a few millimeter-sized embryos in the lower levels of the updraft, the subsequent growth and motion of these embryos is calculated. For each of the four storms, the calculations result in hail sizes that agree well with observed sizes, liquid fractions that are reasonable, growth times and radar reflectivities that are compatible with radar observations, and growth layers (i.e., “rings”) that are consistent with the observed internal structure of hailstones.
Hailstones with masses up to 70 gm were collected from the four storms. The largest stones were all markedly aspherical and had very irregular surface structures; these factors were considered in the calculations. For example, an oblate hailstone can grow to 70 gm in one up-and-down trajectory in 25 min (only 10 of which need to be spent in intense updraft).
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References
Atlas, D., 1964: Advances in radar meteorology. Advances in Geophysics, Vol. 10, New York, Pergamon Press, 317–478.
Auer, A. H., Jr., and J. D. Marwitz, 1972: Hail in the vicinity of organized updrafts. J. Appt. Meteor., 11, 748–752.
Auer, A. H., Jr., D. L. Veal and J. D. Marwitz, 1969: Updraft deterioration below cloud base. Preprints 6th Conf. Severe Local Storms, Chicago, Amer. Meteor. Soc., 16–19.
Aufdermaur, A. N., and J. Joss, 1967: A wind tunnel investigation on the local heat transfer from a sphere, including the influence of turbulence and roughness. Z. Angew. Math. Phys., 18, 852–865.
Bailey, I. H., and W. C. Macklin, 1968a: The surface configuration and internal structure of artificial hailstones. Quart. J. Roy. Meteor. Soc., 94, 1–11.
Bailey, I. H., and W. C. Macklin, 1968b: Heat transfer from artificial hailstones. Quart J. Roy. Meteor. Soc., 94, 93–98.
Barge, B. L., 1971: Hail detection with a polarization diversity radar. Sci. Rept. MW-71, Stormy Weather Group, McGill University, Montreal, 80 pp.
Barge, B. L., and G. A. Isaac, 1970: Shape, size and surface characteristics of hailstones collected in Alberta. Preprints Conf. Cloud Phys., Ft. Collins, Amer. Meteor. Soc., 83–84.
Bartishvili, G. S., N. Sh. Bibilashvili, A. M. Zaitseva, V. P. Lapcheva, A. A. Ordzhonikidze and G. K. Sulakvelidze, 1961: The growth of droplets and hail in cumulus congestus clouds with changes in velocity of the vertical flow with height taken into account and physical principles of the modification of hail processes. Fizika Oblakov i Osadkov, Akad. Nauk SSSR, El’brusskaya Vysokogornaya Ekspeditsiya, Vol. 2, No. 5, 146–168. (Translation available from Associated Technical Service, Inc., P.O. Box 271, East Orange, N. J.)
Battan, L. J., 1965: Recent studies on hail and hail modifications in the Soviet Union. Sci. Rept. No. 21, Institute of Atmospheric Physics, University of Arizona, 27 pp.
Beard, K. V., and H. R. Pruppacher, 1969: A determination of the terminal velocity and drag of small water drops by means of a wind tunnel. J. Atmos. Sci., 26, 1066–1072.
Berry, E. X, 1967: Cloud droplet growth by collection. J. Atmos. Sci., 24, 688–701.
Browning, K. A., 1966: The lobe structure of giant hailstones. Quart. J. Roy. Meteor. Soc., 92, 1–14.
Browning, K. A., and J. G. D. Beimers, 1967: The oblateness of large hail-stones. J. Appt. Meteor., 6, 1075–1081.
Browning, K. A., and R. J. Donaldson, Jr., 1963: Airflow and structure of a tornadic storm. J. Atmos. Sci., 20, 533–545.
Browning, K. A., and F. H. Ludlam, 1962: Airflow in convective storms. Quart. J. Roy. Meteor. Soc., 88, 117–135.
Browning, K. A., and W. C. Macklin, 1963: The density and structure of hailstones. Quart. J. Roy. Meteor. Soc., 89, 75–84.
Browning, K. A., J. Hallett, T. W. Harrold and D. Johnson, 1968: The collection and analysis of freshly fallen hailstones. J. Appt. Meteor., 7, 603–612.
Brownscombe, J. L. and J. Hallett, 1967: Experimental and field studies of precipitation particles formed by the freezing of supercooled water. Quart. J. Roy. Meteor. Soc., 93, 455–473.
Carte, A. E., and R. E. Kidder, 1966: Transvaal hailstones. Quart. J. Roy. Meteor. Soc., 92, 382–391.
Carte, A. E., and R. E. Kidder, 1970: Hailstones from the Pretoria-Witwater-srand area, 1959–1969. C.S.I.R. Res. Rept. 297, Pretoria, 1–42.
Cataneo, R., J. R. Adam and R. G. Semonin, 1970: The mutual influence of equal-sized drops due to the wake effect. Preprints Conf. Cloud Phys., Ft. Collins, Amer. Meteor. Soc., 125–126.
Charlton, R. B., and R. List, 1972: Hail size distributions and accumulation zones. J. Atmos. Sci. 29, 1182–1193.
Chisholm, A. J., 1969: Observations by 10-cm radar of the hailstorm of 29 June 1967. Part I. Sci. Rept. MW-59, Stormy Weather Group, McGill University, Montreal, 2–7.
Chisholm, A. J., 1970: Alberta hailstorms: A radar study and model. Ph.D. thesis, McGill University, Montreal, 237 pp.
Chisholm, A. J., M. English and C. Warner, 1969: The hailstorm of 29 June 1967. Sci. Rept. MW-59, Stormy Weather Group, McGill University, Montreal, 38 pp.
Danielsen, E., R. Bleck and D. Morris, 1972: Hail growth by stochastic collection in a cumulus model. J. Atmos. Sci., 29, 135–155.
Dennis, A. S., and D. J. Musil, 1973: Calculations of hailstone growth and trajectories in a simple cloud model. J. Atmos. Sci., 30, 278–288.
Dennis, A. S., C. A. Schock and A. Koscielski, 1970: Characteristics of hailstorms of western South Dakota. J. Appl. Meteor., 9, 127–135.
Dennis, A. S., P. L. Smith, Jr., G. A. P. Peterson and R. D. McNeil, 1971: Hailstone size distributions and equivalent radar reflectivity factors computed from hailstone momentum records. J. Appl. Meteor., 10, 79–85.
Dessens, H., 1950: Some remarks on the study of the microphysics of natural clouds. Centennial Proceedings Royal Meteorological Society, 59–60.
Donaldson, R. J., A. C. Chmela and C. R. Shackford, 1960: Some behaviour patterns of New England hailstorms. Geophys. Monogr., Vol. 5, Amer. Geophys. Union, 354–368.
Douglas, R. H., 1963: Size distributions of Alberta hail samples. Sci. Rept. MW-36, Stormy Weather Group, McGill University, Montreal, 55–70.
Douglas, R. H., 1965: Size distributions of Alberta hail samples. Sci. Rept. MW-42, Stormy Weather Group, McGill University, Montreal, 43–47.
Eng Young, R. G., and K. A. Browning, 1967: Wind tunnel tests of simulated spherical hailstones with variable roughness. J. Atmos. Sci., 24, 58–62.
English, Marianne, 1966: A new program for the calculation of hail growth. Sci. Rept. MW-47, McGill University, Montreal, 29–50.
English, Marianne, 1969: Hail growth in the storm of 29 June 1967. Sci. Rept. MW-59, McGill University, Montreal, 28–37.
English, Marianne, and C. Warner, 1970: Observations and theory of a Montreal hailstorm. Preprints. Conf. Cloud Phys., Ft. Collins, Amer. Meteor. Soc. 58–59.
English, Marianne, and W. Hitschfeld, 1972: Observations and theory of a hailstorm. J. Rech. Atmos., 6, Nos. 1–3, 141–153.
Foote, G. B., and P. S. du Toit, 1969: Terminal velocity of raindrops aloft. J. Appl. Meteor., 8, 249–253.
Fujita, T., and H. Grandoso, 1968: Split of a thunderstorm into anticyclonic and cyclonic storms and their motion as determined by numerical model experiments. J. Atmos. Sci., 25, 416–439.
Geotis, S. G., 1963: Some radar measurements of hailstorms. J. Appl. Meteor. 2, 270–275.
Gitlin, S. N., H. S. Fogler and G. G. Goyer, 1966: A calorimetric method for measuring water content of hailstones. J. Appl. Meteor., 5, 715–721.
Gitlin, S. N., G. G. Goyer and T. J. Henderson, 1968: The liquid water content of hailstones. J. Atmos. Sci., 25, 97–99.
Gokhale, N. R., and K. M. Rao, 1969: Theory of hail growth. J. Rech. Atmos., 4, 153–178.
Goldstein, S., 1938: Modern Developments in Fluid Dynamics. Oxford, Clarendon Press, 420 pp.
Goldstein, S., Ed., 1965: Modern Developments in Fluid Dynamics, Vol. 2. New York, Dover Publ., 702 pp.
Goyer, G. G., S. S. Lin, S. N. Gitlin and M. N. Plooster, 1969: On the heat transfer to ice spheres and the freezing of spongy hail. J. Atmos. Sci., 26, 319–326.
Gunn, K. L. S., and W. Hitschfeld, 1951: A laboratory investigation of the coalescence between large and small water-drops. J. Meteor., 8, 7–16.
Gunn, R., and G. D. Kinzer, 1949: The terminal velocity of fall for water droplets in air. J. Meteor., 6, 243–248.
Hindman, E. E., and D. B. Johnson, 1972: Numerical simulation of ice particle growth in a cloud of supercooled water droplets. J. Atmos. Sci., 29, 1313–1321.
Hitschfeld, W., Ed., 1971: Hail research at McGill, 1956–1971. Sci. Rept. MW-68, Stormy Weather Group, McGill University, Montreal, 68 pp.
Hitschfeld, W., Ed., and R. H. Douglas, 1963: A theory of hail growth based on studies of Alberta storms. Z. Angew. Math. Phys., 14, 554–562.
Iribarne, J. V., and R. G. de Pena, 1960: The influence of particle concentration on the evolution of hailstones. Nubila, 5, 7–30.
Joss, J., and R. List, 1963: Backscattering cross sections of mixtures of ice and water. Z. Angew. Math. Phys., 14, 376–380.
Knight, C. A., and N. C. Knight, 1970a: Hailstone embryos. J. Atmos. Sci., 27, 659–666.
Knight, C. A., and N. C. Knight, 1970b: Lobe structure of hailstones. J. Atmos. Sci., 27, 667–671.
Knight, C. A., and N. C. Knight, 1970c: The falling behavior of hailstones. J. Atmos. Sci., 27, 672–681.
Kyle, T. G., and W. R. Sand, 1973: Water content in convective storm clouds. Science, 180, 1274–1276.
Landry, C. R., and K. R. Hardy, 1970: Fall speed characteristics of simulated ice spheres: A radar experiment. Preprints 14th Radar Meteor. Conf., Tucson, Amer. Meteor. Soc., 27–30.
Langmuir, I., 1948: The production of rain by a chain reaction in cumulus clouds at temperatures above freezing. J. Meteor., 5, 175–192.
Leighton, H. G., and R. R. Rogers, 1974: Droplet growth by condensation and coalescence in a strong updraft. Paper to be published in J. Atmos. Sci.
Levi, L., and A. N. Aufdermaur, 1970: Crystallographic orientation and crystal size in cylindrical accretions of ice. J. Atmos. Sci., 27, 443–452.
List, R., 1958: Kennzeichen atmosphärischer Eispartikeln. I. Teil. Graupeln als Wachstumszentren von Hagelkörner. Z. Angew. Math. Phys., 9a, 180–192.
List, R., 1959a: Wachstum von Eis-Wassergemischen im Hagelver suchskanal. Heiv. Phys. Acta, 32, 293–296.
List, R., 1959b: Zur Aerodynamik von Hagelkörner. Z. A ngew. Math. Phys., 10, 143–159.
List, R., 1960a: Zur Thermodynamik teilweise wässriger Hagel-körner. Z. Angew. Math. Phys., 11, 273–306.
List, R., 1960b: Growth and structure of graupel and hailstones. Physics of Precipitation, Geophys. Monogr., Vol. 5, Amer. Geophys. Union, 317–323.
List, R., 1961: On the growth of hailstones. Nubila, 4, 29–38.
List, R., 1963: General heat and mass exchange of spherical hail-stones. J. Atmos. Sci., 20, 189–197.
List, R., 1972: Seminar given to the Montreal Branch of the Canadian Meteorological Society.
List, R., and J. Dussault, 1967: Quasi steady state icing and melting conditions and heat and mass transfer of spherical and spheroidal hailstones. J. Atmos. Sci., 24, 522–529.
List, R., and R. S. Schemenauer, 1971: Free-fall behaviour of planar snow crystals, conical graupel and small hail. J. Atmos. Sci., 28, 110–115.
List, R., J. Cantin and M. G. Ferland, 1970: Structural properties of two hailstone samples. J. Atmos. Sci., 27, 1080–1090.
List, R., R. B. Charlton and P. I. Buttuls, 1968: A numerical experiment on the growth and feedback mechanisms of hailstones in a one-dimensional steady state model coud. J. Atmos. Sci., 25, 1061–1074.
List, R., P. R. Kry, and U. W. Rentsch, 1970: On the tumbling of spheroidal hailstones. Preprints Conf. Cloud Phys., Ft. Collins, Amer. Meteor. Soc., 67–68.
List, R., U. W. Rentsch, P. H. Schuepp and M. W. McBurney, 1969: The effect of surface roughness on the convective heat and mass transfer of freely falling hailstones. Preprints 6th Conf. Severe Local Storms, Chicago, Amer. Meteor. Soc., 267–269.
List, R., P. H. Schuepp and R. G. J. Methot, 1965: Heat exchange ratios of hailstones in a model cloud and their simulation in a laboratory. J. Atmos. Sci., 22, 710–718.
Ludlam, F. H., 1958: The hail problem. Nubila, 1, 12–95.
MacCready, P. B., and D. M. Takeuchi, 1968: Precipitation initiation mechanisms and droplet characteristics of some convective cloud cores. J. Appl. Meteor., 7, 591–602.
Macklin, W. C., 1961: Accretion in mixed clouds. Quart. J. Roy. Meteor Soc., 87, 413–424.
Macklin, W. C., 1962: The density and structure of ice formed by accretion. Quart. J. Roy. Meteor. Soc., 88, 30–50.
Macklin, W. C., 1963: Heat transfer from hailstones. Quart. J. Roy. Meteor. Soc., 89, 360–369.
Macklin, W. C., 1964: Factors affecting the heat transfer from hailstones. Quart. J. Roy. Meteor. Soc., 90, 84–90.
Macklin, W. C., and I. H. Bailey, 1966: On the critical liquid water concentrations of large hailstones. Quart. J. Roy. Meteor. Soc., 92, 297–300.
Macklin, W. C., and I. H. Bailey, 1968: The collection efficiencies of hailstones. Quart. J. Roy. Meteor. Soc., 94, 393–396.
Macklin, W. C., and F. H. Ludlam, 1961: The fallspeeds of hailstones. Quart. J. Roy. Meteor. Soc., 87, 72–81.
Macklin, W. C., and G. S. Payne, 1967: A theoretical study of the ice accretion process. Quart. J. Roy. Meteor. Soc., 93, 195–213.
Macklin, W. C., E. Strauch and F. H. Ludlam, 1960: The density of hail- stones collected from a summer storm. Nu bila, 3, 12–17.
Marshall, J. S., 1961: Inter-relation of the fall speed of rain and the updraft rates in hail formation. Nubila, 4, 59–62.
Marwitz, J. D., 1972a: The structure and motion of severe hailstorms. Part I: Supercell storms. J. Appt. Meteor., 11, 166–179.
Marwitz, J. D., 1972b: The structure and motion of severe hailstorms. Part II: Multicell storms. J. Appl. Meteor., 11, 180–188.
Marwitz, J. D., 1972c: The structure and motion of severe hailstorms. l’art III: Severely sheared storms. J. Appl. Meteor., 11, 189–201.
Marwitz, J. D., 1972d: Trajectories within the weak echo regions of hailstorms. Preprints 15th Radar Meteor. Conf., Champaign, Amer. Meteor. Soc., 53–56.
Marwitz, J. D., and E. X Berry, 1971: The airflow within the weak echo region of an Alberta hailstorm. J. Appl. Meteor., 10, 487–492.
Mason, B. J., 1957: The Physics of Clouds. Oxford, Clarendon Press, 481 pp.
Marwitz, J. D., 1969: Some outstanding problems in cloud physics—the interaction of microphysical and dynamical processes. Quart. J. Roy. Meteor. Soc., 95, 449–485.
Mossop, S. C., and R. E. Kidder, 1961: Hailstorm at Johannesburg on 9th November, 1959—Part II—Structure of hailstones. Nubila, 4, 74–86.
Musil, D. J., 1970: Computer modeling of hailstone growth in feeder clouds. J. Atmos. Sci., 27, 474–482.
Prodi, F., 1970: Measurements of local density in artificial and natural hailstones. J. Appl. Meteor., 9, 903–910.
Ragette, G., 1973: Mesoscale circulations associated with Alberta hailstorms. Mon. Wea. Rev., 101, 150–159.
Ralston, A., and H. S. Wilf, 1960: Mathematical Methods for Digital Computers. New York, Wiley, 110–120.
Renick, J. H., 1971: Radar reflectivity profiles of individual cells in a persistent multicellular Alberta hailstorm. Preprints 7th Conf. Severe Local Storms, Kansas City, Amer. Meteor. Soc., 63–70.
Rogers, L. N., 1970: Characteristics of a large number of hailstones from a single Alberta hailstorm. Preprints Conf. Cloud Phys., Ft. Collins, Amer. Meteor. Soc., 89–90.
Rosinski, J., and T. C. Kerrigan, 1969: The role of aerosol particles in the formation of raindrops and hailstones in severe thunderstorms. J. Atmos. Sci., 26, 695–715.
Schuepp, P. H., and R. List, 1969a: Mass transfer of rough hailstone models in flows of various turbulence levels. J. Appl. Meteor., 8, 254–263.
Schuepp, P. H., and R. List, 1969b: Influence of molecular properties of the fluid on simulation of the total heat and mass transfer of solid precipitation particles. J. Appl. Meteor., 8, 743–746.
Schumann, T. E. W., 1938: The theory of hailstone formation. Quart. J. Roy. Meteor. Soc., 64, 3–17.
Shishkin, N. S., 1961: Forecasting thunderstorms and showers by the slice method. Tellus, 13, 417–424.
Simpson, J., W. L. Woodley, H. A. Friedman, T. W. Slusher, R. S. Scheffee and R. L. Steele, 1969: An airborne pyrotechnic cloud seeding system and its use. Tech. Memo. ERLTM-APCL5, ESSA Research Laboratories, Boulder, 44 pp.
Spengler, J. D., and N. R. Gokhale, 1970: Experimental studies of freezing, wake effect, and breakup of freely suspended supercooled water drops. Preprints Conf. Cloud Phys., Ft. Collins, Amer. Meteor. Soc., 79–80.
Steinberger, E. H., H. R. Pruppacher and M. Neiburger, 1968: On the hydrodynamics of pairs of spheres falling along their line of centers in a viscous medium. J. Fluid Mech., 34, 809–819.
Stringham, G. E., D. B. Simons and H. P. Guy, 1969: The behaviour of large particles falling in quiescent liquids. Geol. Surv. Prof. Paper 562-C, U. S. Govt. Printing Office, 36 pp.
Sulakvelidze, G. K., N. Sh. Bibilashvili and V. F. Lapcheva, 1967: Formation of precipitation and modification of hail processes. Gidrometeor., Leningrad, 208 pp. ( Israel Program for Scientific Translations, Jerusalem).
Summers, P. W., 1968: Soft hail in Alberta hailstorms. Proc. Intern. Conf. Cloud Phys., Toronto, Canada, 455–459.
Summers, P. W., and J. H. Renick, 1971: Case studies of the physical effects of seeding hailstorms in Alberta. Preprints Intern. Weather Modification Conf., Canberra, Australia, Amer. Meteor. Soc., 213–218.
Summers, P. W., and L. Wojtiw, 1971: The economic impact of hail damage in Alberta, Canada and its dependance on various hailfall parameters. Preprints 7th Conf. Severe Local Storms, Kansas City, Amer. Meteor. Soc., 158–163.
Summers, P. W., G. K. Mather and D. S. Treddenick, 1971: Project Hailstop 1970. Hail Studies Rept. 71–1, Research Council of Alberta, Edmonton, 36 pp.
Summers, P. W., G. K. Mather and D. S. Treddenick, 1972: The development and testing of an airborne droppable pyrotechnic flare system for seeding Alberta hailstorms. J. Appl. Meteor., 11, 695–703.
Telford, J. W., 1955: A new aspect of coalescence theory. J. Meteor., 12, 436–444.
Vali, G., 1967: Estimates of initial cloud glaciation from nucleation experiments. Sci. Rept. MW-57, Stormy Weather Group, McGill University, Montreal, 1–7.
Vali, G., 1968: Ice nucleation relevant to formation of hail. Sci. Rept. MW-58, Stormy Weather Group, McGill University, Montreal, 51 pp.
Vali, G., 1971: Freezing nucleus content of hail and rain in Alberta. J. Appt. Meteor., 10, 73–78.
Vittori, O., and G. di Caporiacco, 1959: The density of hailstones. Nubila, 2, 51–57.
Warner, C., 1969: Photographic, surface and pilot balloon observations of low altitude phenomena of the hailstorm. The hailstorm of 29 June 1967. Part III. Sci. Rept. MW-59, Stormy Weather Group, McGill University, Montreal, 17–27.
Warner, C., 1971: Visual and radar aspects of large convective storms. Ph.D. thesis, McGill University, Montreal, 116 pp.
Warner, C., 1972a: Visual and radar aspects of Alberta storms. Sci. Rept. MW-72, Stormy Weather Group, McGill University, Montreal, 13–29.
Warner, C., 1972b: Calculations of updraft shapes in storms. J. Atmos. Sci., 29, 1516–1519.
Warner, C., M. English, A. J. Chisholm and W. Hitschfeld, 1969: The pattern of an Alberta hailstorm. Preprints 6th Conf. Severe Local Storms, Chicago, Amer. Meteor. Soc., 290–295.
Weiss, Marianne, 1964: The distribution of rainfall rate at McGill University. M.Sc. thesis, McGill University, Montreal, 113 pp.
Willis, J. T., K. A. Browning and D. Atlas, 1964: Radar observa- tions of ice spheres in free fall. J. Atmos. Sci., 21, 103–108.
Wisner, C., H. D. Orville and C. Myers, 1972: A numerical model of a hail-bearing cloud. J. Atmos. Sci., 29, 1160–1181.
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English, M. (1973). Alberta Hailstorms Part II: Growth of Large Hail in the Storm. In: Alberta Hailstorms. Meteorological Monographs, vol 14. American Meteorological Society, Boston, MA. https://doi.org/10.1007/978-1-935704-32-4_2
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