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Precipitation I RECAP Moisture in the air (different types of humidity). Condensation and evaporation in the air (dew point). Stability of the atmosphere: determines the type of clouds
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RECAP • Moisture in the air (different types of humidity). • Condensation and evaporation in the air (dew point). • Stability of the atmosphere: determines the type of clouds • Cloud formation: moist air rises up in the atmosphere where it expands adiabatically, cools down, saturates and forms clouds. • Chapter 7: precipitation. Any form of water (liquid or solid) that falls from a cloud and reaches the ground.
From droplets to raindrops • Typical sizes (diameter) • Condensation nuclei: 0.2 mm • Cloud droplet: 20 mm • Raindrop: 2000 mm • The cloud droplets need to grow in order to become raindrops! • Growth is determined by the balance of condensation (C) and evaporation (E) • C>E the droplet grows • C<E the droplet gets smaller • C=E the droplet stays the same (in equilibrium), hence: • Saturation (equilibrium) vapor pressure
The growth of cloud droplets • Curvatureeffect: The saturation water vapor pressure depends on the curvature of the water surface. • The larger the curvature the easier it is for the water molecules to leave the surface of the liquid water. • The saturation vapor pressure for small droplets is higher therefore they require more vapor to keep their size • Bottom line: the smaller the droplet, the more difficult it is to grow. Small droplets don’t make it as raindrops.
The growth of cloud droplets • If small droplets were to survive and grow, they require supersaturation of the air and the help of condensation nuclei • Condensation nuclei: jump start the formation of the cloud droplets. • Hygroscopic nuclei: condensation begins at RH<100%. • Decrease the starting curvature of the initial droplet. • Solute effect: salt particles partially dissolve in the water and decrease the saturation vapor pressure.
From droplets to raindrops • Condensation by itself is a very slow process, cannot produce raindrops, only cloud droplets (~20 mm). • The cloud droplets may stay suspended in the air by air currents for a long time • Those which happen to descend below the cloud, evaporate and don’t make it to the ground • There must be other ways to grow raindrops: • Collision-coalescence process: first must discuss how droplets fall. • Ice-crystal (Bergeron) process
Terminal Velocity • Gravity makes things fall, constant force -> acceleration • Air-drag force increases with the speed of the falling object • Eventually gravity and air-drag become equal -> no net force -> the body falls at constant speed. • This velocity is called terminal velocity. • The terminal velocity depends on • Shape of the body; • Size of the body; • Mass of the body; • Air properties (density).
Terminal Velocity-Examples Falling object Mass Area Terminal velocity Skydiver 75 kg 0.7 m2 60 m/s 134 mi/hr Baseball (3.66 cm) 145 gm 42 cm2 33 m/s 74 mi/hr Golf ball (2 cm) 46 gm 14 cm2 32 m/s 72 mi/hr Hail stone (0.5 cm radius) .48 gm .79 cm2 14 m/s 31 mi/hr Raindrop (0.2 cm radius) .034 gm .13 cm2 9 m/s 20 mi/hr m – mass, g – gravity acceleration, C-shape coefficient of proportionality, r-air density, A - area of the cross section of the body, v- velocity
Collision and Coalescence Processes • Larger drops fall faster, overtake and absorb smaller drops: • coalescence • Larger drops grow faster than smaller drops. • Larger drops are the first to hit the ground, the first raindrops are very large and heavy. • Smaller drops evaporate before they reach the ground. • Smaller drops are absorbed on the way down
Droplet growth in warm clouds • Warm clouds: above freezing temperature • Thick clouds are associated with strong updraft winds. • This maximizes the time the droplet spends in the cloud -> more time for coalescence to take place • Thick clouds produce large rain drops. • Thin clouds produce at most a drizzle.
“Cold” clouds • The temperature of a “cold” cloud drops below the water freezing point. • Below 0 deg C the cloud water droplets are supercooled. • The smaller the droplet, the lower the temperature at which it will freeze. • Below -40 deg C almost all droplets freeze and form ice crystals. • Small particles in the air serve as ice nuclei: • deposition nuclei • freezing nuclei • contact nuclei
Ice Crystal Particles • There are many more condensation nuclei than ice nuclei -> there are many more water droplets than ice crystals in the cloud • How does snow form? • The saturation vapor pressure above a water surface is larger than the saturation vapor pressure above an ice surface. • Water molecules evaporate more easily than ice molecules
Ice-crystal (Bergeron) process • Water vapor molecules migrate towards the ice crystals. • Cloud ice crystals grow at the expense of the water droplets.
Ice crystals in the clouds Accretion Fracture Aggregation Skip the sections “Cloud seeding and precipitation” and “Precipitation in clouds”