Hail

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For other uses, see Hail (disambiguation).
A large hailstone, about 6 cm (2.4 in) in diameter
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Hail is a form of solid precipitation. It is often confused with, though distinct from, sleet.[2] It consists of balls or irregular lumps of ice, each of which is called a hailstone. Sleet falls generally in cold weather while hail growth is greatly inhibited at cold temperatures.[3] Unlike graupel, which is made of rime, and ice pellets, which are smaller and translucent, hailstones consist mostly of water ice and measure between 5 millimetres (0.2 in) and 15 centimetres (6 in) in diameter. The METAR reporting code for hail 5 mm (0.20 in) or greater is GR, while smaller hailstones and graupel are coded GS. Hail is possible within most thunderstorms as it is produced by cumulonimbi,[4] and within 2 nautical miles (3.7 km) of the parent storm. Hail formation requires environments of strong, upward motion of air with the parent thunderstorm (similar to tornadoes) and lowered heights of the freezing level. In the mid-latitudes, hail forms near the interiors of continents, while in the tropics, it tends to be confined to high elevations.

There are methods available to detect hail-producing thunderstorms using weather satellites and weather radar imagery. Hailstones generally fall at higher speeds as they grow in size, though complicating factors such as melting, friction with air, wind, and interaction with rain and other hailstones can slow their descent through Earth's atmosphere. Severe weather warnings are issued for hail when the stones reach a damaging size, as it can cause serious damage to human-made structures and, most commonly, farmers' crops.

Definition

Any thunderstorm which produces hail that reaches the ground is known as a hailstorm.[5] Hail has a diameter of 5 millimetres (0.20 in) or more.[4] Hailstones can grow to 15 centimetres (6 in) and weigh more than 0.5 kilograms (1.1 lb).[6]

Unlike ice pellets, hailstones are layered and can be irregular and clumped together. Hail is composed of transparent ice or alternating layers of transparent and translucent ice at least 1 millimetre (0.039 in) thick, which are deposited upon the hailstone as it travels through the cloud, suspended aloft by air with strong upward motion until its weight overcomes the updraft and falls to the ground. Although the diameter of hail is varied, in the United States, the average observation of damaging hail is between 2.5 cm (1 in) and golf ball-sized (1.75 in).[7]

Stones larger than 2 cm (0.80 in) are usually considered large enough to cause damage. The Meteorological Service of Canada will issue severe thunderstorm warnings when hail that size or above is expected.[8] The US National Weather Service has a 2.5 cm (1 in) or greater in diameter threshold, effective January 2010, an increase over the previous threshold of ¾-inch hail.[9] Other countries will have different thresholds according local sensitivity to hail; for instance grape growing areas could be adversely impacted by smaller hailstones. Hailstones can be very large or very small, depending on how strong the updraft is: weaker hailstorms produce smaller hailstones than stronger hailstorms (such as supercells).

Formation

Hail forms in strong thunderstorm clouds, particularly those with intense updrafts, high liquid water content, great vertical extent, large water droplets, and where a good portion of the cloud layer is below freezing 0 °C (32 °F).[4] These types of strong updrafts can also indicate the presence of a tornado.[10] The growth rate is maximized where air is near a temperature of −13 °C (9 °F).[citation needed]

Layer nature of the hailstones

Hail shaft
Severe thunderstorms containing hail can exhibit a characteristic green coloration[1]

Like other precipitation in cumulonimbus clouds hail begins as water droplets. As the droplets rise and the temperature goes below freezing, they become supercooled water and will freeze on contact with condensation nuclei. A cross-section through a large hailstone shows an onion-like structure. This means the hailstone is made of thick and translucent layers, alternating with layers that are thin, white and opaque. Former theory suggested that hailstones were subjected to multiple descents and ascents, falling into a zone of humidity and refreezing as they were uplifted. This up and down motion was thought to be responsible for the successive layers of the hailstone. New research, based on theory as well as field study, has shown this is not necessarily true.

The storm's updraft, with upwardly directed wind speeds as high as 110 miles per hour (180 km/h),[11] blows the forming hailstones up the cloud. As the hailstone ascends it passes into areas of the cloud where the concentration of humidity and supercooled water droplets varies. The hailstone’s growth rate changes depending on the variation in humidity and supercooled water droplets that it encounters. The accretion rate of these water droplets is another factor in the hailstone’s growth. When the hailstone moves into an area with a high concentration of water droplets, it captures the latter and acquires a translucent layer. Should the hailstone move into an area where mostly water vapour is available, it acquires a layer of opaque white ice.[12]

Furthermore, the hailstone’s speed depends on its position in the cloud’s updraft and its mass. This determines the varying thicknesses of the layers of the hailstone. The accretion rate of supercooled water droplets onto the hailstone depends on the relative velocities between these water droplets and the hailstone itself. This means that generally the larger hailstones will form some distance from the stronger updraft where they can pass more time growing.[12] As the hailstone grows it releases latent heat, which keeps its exterior in a liquid phase. Because it undergoes 'wet growth', the outer layer is sticky, or more adhesive, so a single hailstone may grow by collision with other smaller hailstones, forming a larger entity with an irregular shape.[13]

The hailstone will keep rising in the thunderstorm until its mass can no longer be supported by the updraft. This may take at least 30 minutes based on the force of the updrafts in the hail-producing thunderstorm, whose top is usually greater than 10 km high. It then falls toward the ground while continuing to grow, based on the same processes, until it leaves the cloud. It will later begin to melt as it passes into air above freezing temperature.[14]

Thus, a unique trajectory in the thunderstorm is sufficient to explain the layer-like structure of the hailstone. The only case in which multiple trajectories can be discussed is in a multicellular thunderstorm, where the hailstone may be ejected from the top of the "mother" cell and captured in the updraft of a more intense "daughter" cell. This, however, is an exceptional case.[12]

Factors favoring hail

Hail is most common within continental interiors of the mid-latitudes, as hail formation is considerably more likely when the freezing level is below the altitude of 11,000 feet (3,400 m).[15] Movement of dry air into strong thunderstorms over continents can increase the frequency of hail by promoting evaporational cooling which lowers the freezing level of thunderstorm clouds giving hail a larger volume to grow in. Accordingly, hail is less common in the tropics despite a much higher frequency of thunderstorms than in the mid-latitudes because the atmosphere over the tropics tends to be warmer over a much greater altitude. Hail in the tropics occurs mainly at higher elevations.[16]

Hail growth becomes vanishingly small when air temperatures fall below −30 °C (−22 °F) as supercooled water droplets become rare at these temperatures.[15] Around thunderstorms, hail is most likely within the cloud at elevations above 20,000 feet (6,100 m). Between 10,000 feet (3,000 m) and 20,000 feet (6,100 m), 60 percent of hail is still within the thunderstorm, though 40 percent now lies within the clear air under the anvil. Below 10,000 feet (3,000 m), hail is equally distributed in and around a thunderstorm to a distance of 2 nautical miles (3.7 km).[17]

Climatology

Hail occurs most frequently within continental interiors at mid-latitudes and is less common in the tropics, despite a much higher frequency of thunderstorms than in the mid-latitudes.[18] Hail is also much more common along mountain ranges because mountains force horizontal winds upwards (known as orographic lifting), thereby intensifying the updrafts within thunderstorms and making hail more likely.[19] The higher elevations also result in there being less time available for hail to melt before reaching the ground. One of the more common regions for large hail is across mountainous northern India, which reported one of the highest hail-related death tolls on record in 1888.[20] China also experiences significant hailstorms.[21] Central Europe and southern Australia also experience a lot of hailstorms. Popular regions for hailstorms are southern and western Germany, northern and eastern France and southern and eastern Benelux. In south-eastern Europe, Croatia and Serbia experience frequent occurrences of hail.[22]

In North America, hail is most common in the area where Colorado, Nebraska, and Wyoming meet, known as "Hail Alley".[23] Hail in this region occurs between the months of March and October during the afternoon and evening hours, with the bulk of the occurrences from May through September. Cheyenne, Wyoming is North America's most hail-prone city with an average of nine to ten hailstorms per season.[24]

Short-term detection

Example of a three body spike: the weak triangular echoes (pointed by the arrow) behind the red and white thunderstorm core are related to hail inside the storm.

Weather radar is a very useful tool to detect the presence of hail-producing thunderstorms. However, radar data has to be complemented by a knowledge of current atmospheric conditions which can allow one to determine if the current atmosphere is conducive to hail development.

Modern radar scans many angles around the site. Reflectivity values at multiple angles above ground level in a storm are proportional to the precipitation rate at those levels. Summing reflectivities in the Vertically Integrated Liquid or VIL, gives the liquid water content in the cloud. Research shows that hail development in the upper levels of the storm is related to the evolution of VIL. VIL divided by the vertical extent of the storm, called VIL density, has a relationship with hail size, although this varies with atmospheric conditions and therefore is not highly accurate.[25] Traditionally, hail size and probability can be estimated from radar data by computer using algorithms based on this research. Some algorithms include the height of the freezing level to estimate the melting of the hailstone and what would be left on the ground.

Certain patterns of reflectivity are important clues for the meteorologist as well. The three body scatter spike is an example. This is the result of energy from the radar hitting hail and being deflected to the ground, where they deflect back to the hail and then to the radar. The energy took more time to go from the hail to the ground and back, as opposed to the energy that went direct from the hail to the radar, and the echo is further away from the radar than the actual location of the hail on the same radial path, forming a cone of weaker reflectivities.

More recently, the polarization properties of weather radar returns have been analyzed to differentiate between hail and heavy rain.[26][27] The use of differential reflectivity (Z_{{dr}}), in combination with horizontal reflectivity (Z_{{h}}) has led to a variety of hail classification algorithms.[28] Visible satellite imagery is beginning to be used to detect hail, but false alarm rates remain high using this method.[29]

Size and terminal velocity

Hailstones ranging in size from few millimetres to over a centimetre in diameter.
Large hailstone with concentric rings

The size of hailstones is best determined by measuring their diameter with a ruler. In the absence of a ruler, hailstone size is often visually estimated by comparing its size to that of known objects, such as coins.[30] Using the objects such as hen's eggs, peas, and marbles for comparing hailstone sizes is often imprecise, due to their varied dimensions. The UK organisation, TORRO, also scales for both hailstones and hailstorms.[31] When observed at an airport, METAR code is used within a surface weather observation which relates to the size of the hailstone. Within METAR code, GR is used to indicate larger hail, of a diameter of at least 0.25 inches (6.4 mm). GR is derived from the French word grêle. Smaller-sized hail, as well as snow pellets, use the coding of GS, which is short for the French word grésil.[32]

The largest recorded hailstone in the United States by diameter 8 inches (20 cm) and weight 1.93 pounds (0.88 kg). The hailstone fell in Vivian, South Dakota on July 23, 2010.

Hail records

Megacryometeors, large rocks of ice that are not associated with thunderstorms, are not officially recognized by the World Meteorological Organization as "hail," which are aggregations of ice associated with thunderstorms, and therefore records of extreme characteristics of megacryometers are not given as hail records.

  • Heaviest: 1.0 kg (2.25 lb); Gopalganj District, Bangladesh, 14 April 1986.[33]
  • Largest diameter officially measured: 8.0 inches (20 cm) diameter, 18.625 inches (47.3 cm) circumference; Vivian, South Dakota, 23 July 2010.[34]
  • Largest circumference officially measured: 18.75 inches (47.6 cm) circumference, 7.0 inches (18 cm) diameter; Aurora, Nebraska, 22 June 2003.[33][35]

Terminal velocity of hail, or the speed at which hail is falling when it strikes the ground, varies by the diameter of the hailstones. A hailstone of 1 centimetre (0.39 in) in diameter falls at a rate of 9 metres per second (20 mph), while stones the size of 8 centimetres (3.1 in) in diameter fall at a rate of 48 metres per second (110 mph). Hailstone velocity is dependent on the size of the stone, friction with air it is falling through, the motion of wind it is falling through, collisions with raindrops or other hailstones, and melting as the stones fall through a warmer atmosphere.[36]

Hazards

Main article: List of costly or deadly hailstorms

Hail can cause serious damage, notably to automobiles, aircraft, skylights, glass-roofed structures, livestock, and most commonly, farmers' crops.[24] Hail damage to roofs often goes unnoticed until further structural damage is seen, such as leaks or cracks. It is hardest to recognize hail damage on shingled roofs and flat roofs, but all roofs have their own hail damage detection problems.[37] Metal roofs are fairly resistant to hail damage, but may accumulate cosmetic damage in the form of dents and damaged coatings.[38]

Hail is one of the most significant thunderstorm hazards to aircraft.[39] When hailstones exceed 0.5 inches (13 mm) in diameter, planes can be seriously damaged within seconds.[40] The hailstones accumulating on the ground can also be hazardous to landing aircraft. Hail is also a common nuisance to drivers of automobiles, severely denting the vehicle and cracking or even shattering windshields and windows. Wheat, corn, soybeans, and tobacco are the most sensitive crops to hail damage.[20] Hail is one of Canada's most expensive hazards.[41] Rarely, massive hailstones have been known to cause concussions or fatal head trauma. Hailstorms have been the cause of costly and deadly events throughout history. One of the earliest recorded incidents occurred around the 9th century in Roopkund, Uttarakhand, India.[42] The largest hailstone in terms of diameter and weight ever recorded in the United States fell on July 23, 2010 in Vivian, South Dakota; it measured 8 inches (20 cm) in diameter and 18.62 inches (47.3 cm) in circumference, weighing in at 1.93 pounds (0.88 kg).[43] This broke the previous record for diameter set by a hailstone 7 inches diameter and 18.75 inches circumference (still the greatest circumference hailstone) which fell in Aurora, Nebraska in the United States on June 22, 2003, as well as the record for weight, set by a hailstone of 1.67 pounds (0.76 kg) that fell in Coffeyville, Kansas in 1970.[43]

Accumulations

Narrow zones where hail accumulates on the ground in association with thunderstorm activity are known as hail streaks or hail swaths,[44] which can be detectable by satellite after the storms pass by.[45] Hailstorms normally last from a few minutes up to 15 minutes in duration.[24] Accumulating hail storms can blanket the ground with over 2 inches (5.1 cm) of hail, cause thousands to lose power, and bring down many trees. Flash flooding and mudslides within areas of steep terrain can be a concern with accumulating hail.[46]

On somewhat rare occasions, a thunderstorm can become stationary or nearly so while prolifically producing hail and significant depths of accumulation do occur; this tends to happen in mountainous areas, such as the July 29, 2010 case[47] of a foot of hail accumulation in Boulder County, Colorado. Depths of up to a metre have been reported. A landscape covered in accumulated hail generally resembles one covered in accumulated snow and any significant accumulation of hail has the same restrictive effects as snow accumulation, albeit over a smaller area, on transport and infrastructure. Accumulated hail can also cause flooding by blocking drains, and hail can be carried in the floodwater, turning into a snow-like slush which is deposited at lower elevations.

Suppression and prevention

During the Middle Ages, people in Europe used to ring church bells and fire cannons to try to prevent hail, and the subsequent damage to crops. Updated versions of this approach are available as modern hail cannons. Cloud seeding after World War II was done to eliminate the hail threat,[11] particularly across Russia – where it was claimed a 50 to 80 percent reduction in crop damage from hail storms was achieved by deploying silver iodide in clouds using rockets and artillery shells. Their results have not been verified. Hail suppression programs have been undertaken by 15 countries between 1965 and 2005.[20] To this day, no hail prevention method has been proven to work.[11]

See also

References

  1. ↑ Frank W. Gallagher, III. (October 2000). "Distant Green Thunderstorms – Frazer's Theory Revisited". Journal of Applied Meteorology (American Meteorological Society) 39 (10): 1754. Bibcode:2000JApMe..39.1754G. doi:10.1175/1520-0450-39.10.1754. 
  2. ↑ http://www.straightdope.com/columns/read/1668/whats-the-difference-between-hail-sleet-and-freezing-rain
  3. ↑ "Merriam-Webster definition of "hailstone"". Merriam-Webster. Retrieved 2013-01-23. 
  4. ↑ 4.0 4.1 4.2 Glossary of Meteorology (2009). "Hail". American Meteorological Society. Retrieved 2009-07-15. 
  5. ↑ Glossary of Meteorology (2009). "Hailstorm". American Meteorological Society. Retrieved 2009-08-29. 
  6. ↑ National Severe Storms Laboratory (2007-04-23). "Aggregate hailstone". National Oceanic and Atmospheric Administration. Retrieved 2009-07-15. 
  7. ↑ Ryan Jewell and Julian Brimelow (2004-08-17). "P9.5 Evaluation of an Alberta Hail Growth Model Using Severe Hail Proximity Soundings in the United States". Retrieved 2009-07-15. 
  8. ↑ Meteorological Service of Canada (November 3, 2010). "Severe Thunderstorm criteria". Environment Canada. Retrieved 2011-05-12. 
  9. ↑ National Weather Service (January 4, 2010). "NEW 1 Inch Hail Criteria". NOAA. Retrieved 2011-05-12. 
  10. ↑ National Weather Service Forecast Office, Columbia, South Carolina (2009-01-27). "Hail...". National Weather Service Eastern Region Headquarters. Retrieved 2009-08-28. 
  11. ↑ 11.0 11.1 11.2 National Center for Atmospheric Research (2008). "Hail". University Corporation for Atmospheric Research. Retrieved 2009-07-18. 
  12. ↑ 12.0 12.1 12.2 Stephan P. Nelson (August 1983). "The Influence of Storm Flow Struce on Hail Growth". Journal of Atmospheric Sciences 40 (8): 1965–1983. Bibcode:1983JAtS...40.1965N. doi:10.1175/1520-0469(1983)040<1965:TIOSFS>2.0.CO;2. ISSN 1520-0469. 
  13. ↑ Julian C. Brimelow, Gerhard W. Reuter, and Eugene R. Poolman (October 2002). "Modeling Maximum Hail Size in Alberta Thunderstorms". Weather and Forecasting 17 (5): 1048–1062. Bibcode:2002WtFor..17.1048B. doi:10.1175/1520-0434(2002)017<1048:MMHSIA>2.0.CO;2. ISSN 1520-0434. 
  14. ↑ Jacque Marshall (2000-04-10). "Hail Fact Sheet". University Corporation for Atmospheric Research. Retrieved 2009-07-15. 
  15. ↑ 15.0 15.1 Wolf, Pete (2003-01-16). "Meso-Analyst Severe Weather Guide". University Corporation for Atmospheric Research. Retrieved 2009-07-16. 
  16. ↑ Thomas E. Downing, Alexander A. Olsthoorn, Richard S. J. Tol (1999). Climate, change and risk. Routledge. pp. 41–43. ISBN 978-0-415-17031-4. Retrieved 2009-07-16. 
  17. ↑ Airbus (2007-03-14). "Flight Briefing Notes: Adverse Weather Operations Optimum Use of Weather Radar". SKYbrary. p. 2. Retrieved 2009-11-19. 
  18. ↑ W.H. Hand and G. Cappelluti (January 2011). "A global hail climatology using the UK Met Office convection diagnosis procedure (CDP) and model analyses". Meteorological Applications (Meteorological Applications. Wiley) 18 (4): 446. Bibcode:2011MeApp..18..446H. doi:10.1002/met.236. 
  19. ↑ Geoscience Australia (2007-09-04). "Where does severe weather occur?". Commonwealth of Australia. Archived from the original on 2009-06-21. Retrieved 2009-08-28. 
  20. ↑ 20.0 20.1 20.2 John E. Oliver (2005). Encyclopedia of World Climatology. Springer. p. 401. ISBN 978-1-4020-3264-6. Retrieved 2009-08-28. 
  21. ↑ Dongxia Liu, Guili Feng, and Shujun Wu (February 2009). "The characteristics of cloud-to-ground lightning activity in hailstorms over northern China". Atmospheric Research 91 (2–4): 459–465. doi:10.1016/j.atmosres.2008.06.016. 
  22. ↑ Damir Počakal, Željko Večenaj, and Janez Štalec (July 2009). "Hail characteristics of different regions in continental part of Croatia based on influence of orography". Atmospheric Research 93 (1–3): 516. doi:10.1016/j.atmosres.2008.10.017. 
  23. ↑ Rene Munoz (2000-06-02). "Fact Sheet on Hail". University Corporation for Atmospheric Research. Retrieved 2009-07-18. 
  24. ↑ 24.0 24.1 24.2 Nolan J. Doesken (April 1994). "Hail, Hail, Hail ! The Summertime Hazard of Eastern Colorado". Colorado Climate 17 (7). Retrieved 2009-07-18. 
  25. ↑ Charles A. Roeseler and Lance Wood (2006-02-02). "VIL density and Associated Hail Size Along the Northwest Gulf Coast". National Weather Service Southern Region Headquarters. Archived from the original on August 18, 2007. Retrieved 2009-08-28. 
  26. ↑ Aydin, K.; Seliga, T.A.; Balaji, V. (October 1986). "Remote Sensing of Hail with a Dual Linear Polarization Radar". Journal of Climate and Applied Meteorology 25 (10): 1475–14. Bibcode:1986JApMe..25.1475A. doi:10.1175/1520-0450(1986)025<1475:RSOHWA>2.0.CO;2. ISSN 1520-0450. 
  27. ↑ Colorado State University-CHILL National Radar Facility (2007-08-22). "Hail Signature Development". Colorado State University. Retrieved 2009-08-28. 
  28. ↑ Colorado State University-CHILL National Radar Facility (2008-08-25). "Hydrometeor classification example". Colorado State University. Retrieved 2009-08-28. 
  29. ↑ Bauer-Messmer, Bettina; Waldvogel, Albert (1998-07-25). "Satellite data based detection and prediction of hail". Atmospheric Research 43 (3): 217. doi:10.1016/S0169-8095(96)00032-4. 
  30. ↑ Nebraska Rainfall Assessment and Information Network (2009). "NeRAIN Data Site-Measuring Hail". Nebraska Department of Natural Resources. Retrieved 2009-08-29. 
  31. ↑ The TORnado and storm Research Organization (2009). "Hail Scale". Retrieved 2009-08-28. 
  32. ↑ Alaska Air Flight Service Station (2007-04-10). "SA-METAR". Federal Aviation Administration. Archived from the original on May 1, 2008. Retrieved 2009-08-29. 
  33. ↑ 33.0 33.1 "Appendix I – Weather Extremes". San Diego, California: National Weather Service. Archived from the original on 28 May 2008. Retrieved 2010-06-01. 
  34. ↑ NWS (30 July 2010). "Record Setting Hail Event in Vivian, South Dakota on July 23, 2010". Aberdeen, South Dakota: National Weather Service. Archived from the original on 3 August 2010. Retrieved 2010-08-03. 
  35. ↑ "Largest Hailstone in U.S. History Found". News.nationalgeographic.com. Retrieved 2010-08-20. 
  36. ↑ National Severe Storms Laboratory (2006-11-15). "Hail Basics". National Oceanic and Atmospheric Administration. Retrieved 2009-08-28. 
  37. ↑ "Hail Damage to Roofs". Adjusting Today. Retrieved 2009-12-11. 
  38. ↑ "Metal Roofing". 
  39. ↑ P.R. Field, W.H. Hand, G. Cappelluti et al. (November 2010). "Hail Threat Standardisation". European Aviation Safety Agency. RP EASA.2008/5. 
  40. ↑ Federal Aviation Administration (2009). "Hazards". Retrieved 2009-08-29. 
  41. ↑ Damon P. Coppola (2007). Introduction to international disaster management. Butterworth-Heinemann. p. 62. ISBN 978-0-7506-7982-4. 
  42. ↑ David Orr (2004-11-07). "Giant hail killed more than 200 in Himalayas". Telegraph Group Unlimited via the Internet Wayback Machine. Archived from the original on 2005-12-03. Retrieved 2009-08-28. 
  43. ↑ 43.0 43.1 "Hailstone record press release". National Weather Service. 2010-07-30. 
  44. ↑ National Severe Storms Laboratory (2006-10-09). "Hail Climatology". National Oceanic and Atmospheric Administration. Retrieved 2009-08-29. 
  45. ↑ Albert J. Peters (2003-03-03). "Crop Hail Damage Assessment". Institut National De Recherche En Informatique Et En Automatique. Retrieved 2009-08-28. 
  46. ↑ Harold Carmichael (2009-06-15). "Sudbury lashed by freak storm; hail pummels downtown core". Sun Media. Retrieved 2009-08-28.  Unknown parameter |paper= ignored (help)
  47. ↑ http://www.coloradodaily.com/rant-rave/ci_15630529#axzz1NnYBPl6D

Further reading

  • Rogers and Yau (1989). A Short Course in CLOUD PHYSICS. Massachusetts: Butterworth-Heinemann. ISBN 0-7506-3215-1. 
  • Jim Mezzanotte (2007). Hailstorms. Gareth Stevens Publishing. ISBN 978-0-8368-7912-4. 
  • Snowden Dwight Flora (2003). Hailstorms of the United States. Textbook Publishers. ISBN 978-0-7581-1698-7. 
  • Narayan R. Gokhale (1974). Hailstorms and Hailstone Growth. State University of New York Press. ISBN 978-0-87395-313-9. 
  • Duncan Scheff (2001). Ice and Hailstorms. Raintree Publishers. ISBN 978-0-7398-4703-9. 

External links

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