Problem Set 4.pdf


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UNIVERSITY OF ARIZONA DEPARTMENT OF CHEMICAL AND ENVIRONMENTAL ENGINEERING CHEE 305 TRANSPORT PHENOMENA SPRING 2017 Problem Set 4 Due: Monday, Feb. 27 1. Water droplets will freeze in a thundercloud if the temperature falls below 0 °C. In some thunderclouds, the small ice pellets formed can be caught in a strong updraft wind (see figure) so that they move upwards through the cloud. During this upward motion, water continues to be uptaken by the pellet, increasing its size until hail is formed. It is estimated that the updraft wind velocity that can form a hailstone of a given size is 1.5 times the terminal velocity of the hailstone falling through air. Estimate the updraft wind velocity (in miles per hour) necessary to form golf ball-size hail (4.44 cm diameter). Assume that the air in the cloud is at 1 atm and 0 °C ( = 1.77 × 10 -5 Pa s) and that the hailstone is spherical. The density of ice at the water freezing point is 917 kg/m 3 .
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