Chapter Seven

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Cloud droplets growth

processes of rain produced

Forms of Precipitation

Precipitation

Cloud droplets growth

If a cloud droplet is in equilibrium with its surroundings its size doesn’t change because rate of condensing onto the droplet = rate of evaporating from it

If cloud droplet is not in equilibrium its size
– increase if condensation > evaporation
– decrease if condensation < evaporation

To keep the droplet in equilibrium more vapor molecules are needed around it, to replace molecules that evaporating from it

In equilibrium, The total number of vapor molecules around the droplet remains constant & defines the droplet’s saturation vapor pressure

equilibrium vapor pressure is the saturation vapor pressure at equilibrium
a Cloud droplet is 100 times smaller than a raindrop
Cloud drops are VERY TINY (0.02 mm)
Rain drops are VERY BIG (2 mm)

curvature effect

When air is saturated with respect to a flat surface, it is unsaturated with respect to a curved droplet (Evaporate)

As a result of curvature effect to keep smaller cloud droplets in equilibrium
→ smaller droplets has greater curvature
→ so more rapid rate of evaporation
→ so require greater vapor pressure
→ The air must be supersaturated (RH>100%)

since the smaller nuclei are more affected by curvature effect, only the larger nuclei are able to become cloud droplets
Reason is the water molecules are less strongly attached to a curved water surface, they evaporate more readily
curvature effect
The evaporation over a flat surface of water is less than evaporation of same amount of water over a curved surface

Solute Effect

Condensation begins on tiny particles called cloud condensation nuclei (CCN)

Hygroscopic particles: type of CCN, have an affinity for H₂O, & Condensation begin on it when the RH < 100%, such as salt particles

Salt are dissolve in water forming solution & the salt ions in solution bind closely with H₂O so preventing it from evaporate

solute effect: reduces the equilibrium vapor pressure, by strong association of hygroscopic molecules with water in solution

Due to the solute effect:
1. the salt replaces H₂O in lattice structure
2. the equilibrium vapor pressure is lowered

droplet containing salt can be in equilibrium when the RH << 100%

Should RH increase:
→ water vapor molecules would attach to the droplet at a faster rate than they would leave
→the droplet would grow larger in size

Condensation in Unsaturated air

In moist but unsaturated air:
– condensation occurs as air cools, RH ≈78
– As the air cools further, RH increases, with the droplets containing the most salt reaching the largest sizes.

Over land masses where large concentrations of nuclei exist, several hundreds/cm³, all competing for the available supply of H₂O(g)

Over the oceans where the concentration of nuclei is less, < 100/cm³, but larger cloud droplets

So, in a given volume we tend to find
1. more cloud droplets in clouds over land
2. larger cloud droplets over the ocean

processes of rain produced

Collision‐Coalescence process
Bergeron: the ice‐crystal process

COLLISION & COALESCENCE PROCESS

Air retards the falling drops

The amount of air resistance depends on:
1. rate of fall
2. The size: larger fall faster!
3. Speed: mire speed → more air encounters
4. Coalescence: Large droplets collide & merging with smaller drops in their path

Terminal Velocity: constant speed of falling drop if the air resistance =F.gravity
– The speed of the falling drop increases until the air resistance equals the pull of gravity

larger drops fall faster than smaller drop larger drops have a smaller surface area to weight ratio, they fall faster before reaching their terminal velocity

Coalescence enhanced if colliding droplets have opposite & attractive electrical charges

Rising air currents in a forming cloud, slow the rate of fall toward the ground

amount of time the droplet spends in the cloud An important factor influencing cloud droplet growth by the collision process

Thick cloud with strong updrafts maximizes
1. the time cloud droplets spend in the cloud
2. the size to which they can grow
In warm cloud composed of small droplets of uniform size, the droplets are less likely to collide as they all fall very slowly at about the same speed, droplets that do collide, do not coalesce because of the strong surface tension that holds together each tiny droplet

In a cloud composed of droplets of varying sizes, larger droplets fall faster than smaller droplets. Although some tiny droplets are swept aside, some collect on the larger forward edge, while others (captured in the wake of the larger droplet) coalesce on the droplet’s back side
warm rain Rain that falls from warm clouds
The most important factor in the production of raindrops is the cloud’s liquid water content.

In a cloud with sufficient water, other significant factors are:
1. the range of droplet sizes
2. the cloud thickness
3. the updrafts of the cloud
4. the electric charge of the droplets and the electric field in the cloud

Bergeron Process

process of ice crystal growth that occurs in mixed phase clouds (containing a mixture of supercooled water and ice) in regions where the ambient vapor pressure falls between the saturation vapor pressure over water and the lower saturation vapor pressure over ice.

This is a subsaturated environment for liquid water but a supersaturated environment for ice resulting in rapid evaporation of liquid water and rapid ice crystal growth through vapor deposition

Precipitation in Cold Clouds

Ice, water & water vapor exist at the same time

Cloud drops DON’T FREEZE at 0°C

Liquid water won’t freeze until ‐40C°, SUPERCOOLED

Supercooled water freezes when it touches a Freezing Nuclei, FN are rare

ICE-CRYSTAL PROCESS

The ice‐crystal (or Bergeron) process of rain formation is extremely important in middle and high latitudes, where clouds extend upward into regions where the air temperature is well below freezing.

Such clouds are called cold clouds.
a typical cold cloud that has formed over the Great Plains, where the “cold” part is well above the 0°C isotherm
Eventually the ice crystals will grow large enough to fall.
The Bergeron Process often results in liquid precipitation.
As the crystals grow and fall, they pass through the base of the cloud, which may be above freezing.
This causes the crystals to melt and fall as rain.

The Bergeron Process
Summary

The air reaches saturation and some of the resulting droplets will come in contact with freezing nuclei (assuming they have reached the activation temperature).

There is then a combination of ice crystals and supercooled water droplets.

From the perspective of the supercooled droplets, the air is in equilibrium at saturation, but from the perspective of the ice crystals, the air is supersaturated.

water vapor will sublimate on the ice crystals. Since the amount of water vapor in the air has decreased, and from the perspective of the supercooled water droplet, the air is subsaturated, the supercooled water will evaporate until the air once again reaches saturation.

The process then continues.

In short summary, the ice crystal grows through sublimation at the expense of the supercooled water droplet.

Precipitation in Warm Clouds

In warm clouds there are no Ice Crystals so the Bergeron Process can’t operate

Collision‐Coalescence a.k.a. Bump & Stick

Need one BIGGER than average Cloud Drop

Really large aerosol (CCN) → Start Big…. End Big

Entrainment Mixing (evaporation & redistribution)

Turbulence (smashing together of droplets)

Collision-Coalescence

Terminal Velocity matters

the highest velocity attainable by an object as it falls through the air

Sum of the drag force and buoyancyequals the downward force of gravity

If cloud drops were all the same size could they bump into each other? NO

BIG drops fall FASTER than SMALL drops!!!
How ice crystals grow & produce precipitation in clouds with a low H₂O(ι) content & a high H₂O(ι) content

Cloud Seeding & Precipitation

The primary goal in many cloud seeding experiments is to inject (or seed) a cloud with small particles that will act as nuclei, so that the cloud particles will grow large enough to fall to the surface as precipitation.

Some of the first experiments in cloud seeding were conducted by Vincent Schaefer & Irving Langmuir during the late 1940s.

To seed a cloud, they dropped crushed pellets of dry ice (solid carbon dioxide) from a plane. Because dry ice has a temperature of ‐78°C (‐108°F), it acts as a cooling agent.

“Fake Ice” to simulate the Bergeron Process (Dry Ice, Silver Iodide)

In 1947, Bernard Vonnegut demonstrated that silver iodide (AgI) could be used as a cloud‐ seeding agent.

Because silver iodide has a crystalline structure similar to an ice crystal, it acts as an effective ice nucleus at temperatures of ‐4°C (25°F) & lower.

Silver iodide causes ice crystals to form in two primary ways:
1. Ice crystals form when silver iodide crystals come in contact with supercooled liquid droplets.
2. Ice crystals grow in size as water vapor deposits onto the silver iodide crystal.

Cloud Seeding & Precipitation

Hard to “prove” that it actually worked.

Need the right ratio of cloud droplets to ice crystals.

Concern over toxicity of silver iodide.

You can “overseed” a cloud and too many ice crystals are formed so it doesn’t rain

You can also “overseed” cold fog with dry ice to dissipate it.

Forms of Precipitation

Snow & Hail is seen on Big Island
Sleet, Glaze, & Rime do not seen on Big Island

Rain

Drops of water that fall from a cloud & have a diameter of at least 0.5mm

atm is warm, above freezing, from the surface to the cloud layer (Hits the surface as a liquid)

Rain can start out as an ice crystal (Bergeron) or as a large droplet (Collision‐ Coalescence)

DRIZZLE & MIST: Small drops

Virga: Rain that evaporates before reaching the surface

Flooding, Flash Flood
Atmospheric Profile for Rain

Snow

Ice crystals & clumps

atm is cold, below freezing, from the surface to the cloud layer (Hits the surface as solid ice)

Snow will start out as ice crystal (Bergeron)

Very Cold Conditions
light snow: Individual crystals

Warmer Cold Conditions
wet snow: Crystals form clumps
Atmospheric Profile for Snow

Sleet

Rain that freezes near the surface, Wintertime phenomenon

atm is cold, below freezing, in the cloud layer & at the surface, & there is a layer in between that is above freezing

(Hits the surface as solid ice pellets)
Precipitation (from snow) → rain → sleet

Clearto translucent pellets (Ice Pellets)
Atmospheric Profile for Sleet

Freezing Rain & Glaze

Rain falls in liquid & then freezes at ground

atm is cold (below freezing) in the cloud, above the surface there is a warm (above freezing) layer than melts the snow.

just at the surface there is a layer of below freezing that causes the rain drop to freeze on contact with the surface

Glaze The coating of ice
Profile for Freezing Rain

Hail

Rounded WHITISH Pellets & Irregular lumps of ice, 1‐5 cm & Can weigh > pound

Can be very destructive & damage cars, crops, & even kill people!
The hail Formation
Produced in a Cumulonimbus cloud
Graupleor large frozen rain dropsact as embryos

They accumulate supercooled water, adding new layer

Violent, upsurging air currents within the storm carry these embryos up via the cloud

Low liquid water makes a white layer
Higher liquid water makes a clear layer

When the updraft can no longer keep it aloftit falls to the surface

The more violent the storm the larger the hail can become.

Rime

This is a deposit of ice crystals

Formed by freezing of supercooled fog or cloud droplets on objects whose surface is below freezing

The End

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