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Precipitation

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Lecture 26 Precipitation

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Слайд 1Version 1

Give the definition of the solar constant?
Write the dimension

of the eddy coefficient, please.
Write down the humid air state

equation and give notions to all terms.
What does convection process mean?
Write down statics’ equation and give notions to all terms.

What is the potential temperature?


Version 2

What value is higher and why: meteorological or astronomical solar constant?
Please, describe the entrainment process briefly.
Write down the dry air state equation and give notions to all terms.
How do you understand term “convergence”?
Please, give numerical form of relation between dry air gaseous constant R and specific heats at const V and p.
Write down the potential temperature formula with all notations.

Fast questionnaire

Version 1Give the definition of the solar constant?Write the dimension of the eddy coefficient, please.Write down the

Слайд 2Lecture 26 Precipitation

Lecture 26  Precipitation

Слайд 3Water drops and ice crystals falling out
or
any product of

the condensation of atmospheric water vapor that is pulled down

by gravity and deposited on the Earth's surface
is called
Precipitation.


Amount of precipitation is measured by
the thickness of the liquid water layer that could be formed after precipitation fall out on a horizontal surface.
1 mm= 1 kg/m2

Definition

Water drops and ice crystals falling out orany product of the condensation of atmospheric water vapor that

Слайд 4Hydrometeor
The term meteor describes an object from outer space which

has entered the Earth's atmosphere and produces a light phenomenon

HydrometeorThe term meteor describes an object from outer space which has entered the Earth's atmosphere and produces

Слайд 5The amount of Precipitation falling out per a unit of

time is called
Precipitation intensity

mm/s (rare),
mm/h (forecasts),
mm/day,
mm/

month (climatologically texts)

Forms of Precipitation:

rain,
snow,
ice pellets (шарик,гранула),
graupel
dew
drizzle (r< 0.25 mm)
sleet


The amount of Precipitation falling out per a unit of time is called Precipitation intensitymm/s (rare), mm/h

Слайд 6Liquid drops formed on the surfaces after water vapor condensation

against chilled surfaces.

Example:
Over thin blades of grass and leaves at

night


Dew


In England sleet is defined as a mixture of rain and snow, or melting snow.

Liquid drops formed on the surfaces after water vapor condensation against chilled surfaces.Example:Over thin blades of grass

Слайд 7
Rain, snow, or ice pellets may fall steadily or in

showers. Steady precipitation may be intermittent (перемежающийся) though lacking sudden

bursts of intensity.
Hail, small hail, and snow pellets occur only in showers.
Drizzle, snow grains, and ice crystals occur as steady precipitation.

Showers originate from instability clouds of the cumulus family, whereas
steady precipitation originates from stratiform clouds.

Rain, snow, or ice pellets may fall steadily or in showers. Steady precipitation may be intermittent (перемежающийся)

Слайд 8All precipitation types are called hydrometeors, of which additional forms

are clouds, fog, wet haze, mist, blowing snow, and spray.

Whenever rain or drizzle freezes on contact with the ground to form a solid coating of ice, it is called
freezing rain,
freezing drizzle,
or glazed frost;
it is also called an ice storm or a glaze storm, and sometimes is popularly known as
silver thaw (оттепель) or
erroneously (ошибочно) as a sleet storm.


All precipitation types are called hydrometeors, of which additional forms are clouds, fog, wet haze, mist, blowing

Слайд 9Duration of precipitation

Brief -Short duration.
Intermittent -Precipitation which ceases at times.
Occasional -Precipitation which while

not frequent, is recurrent.
Frequent -Showers occurring regularly and often.
Continuous -Precipitation which does

not cease, or ceases only briefly.
Periods of rain -Rain is expected to fall most of the times, but there will be breaks.


Distribution of showers and precipitation

Few- Indicating timing and not area.
Isolated -Showers which are well separated in space during a given period.
Local -Restricted to relatively small areas.
Patchy- Occurring irregularly distributed over an area.
Scattered -Irregularly distributed over an area. Showers, which while not widespread, can occur anywhere in an area. Implies a slightly greater incidence than isolated.
Widespread -Occurring extensively throughout an area.
Duration of precipitationBrief	-Short duration.Intermittent	-Precipitation which ceases at times.Occasional	-Precipitation which while not frequent, is recurrent.Frequent	-Showers occurring regularly and

Слайд 10Can you guess the shape of raindrops?

They are

actually shaped like hamburgers! As they fall, the air pushes

on the bottoms of the drops, causing the bottoms to flatten out while the tops remain round.

http://www.wxdude.com/page3.html
http://ga.water.usgs.gov/edu/watercycleprecipitation.html

Can you guess the shape of raindrops? They are actually shaped like hamburgers! As they fall, the

Слайд 11
http://www.wxdude.com/page3.html

http://www.wxdude.com/page3.html

Слайд 121- avearge values of cloud thickness 2- downpour precipitation is not

included

1- avearge values of cloud thickness 2- downpour precipitation is not included

Слайд 13http://ga.water.usgs.gov/edu/watercycleprecipitation.html
Precipitation rates vary geographically and over time

http://ga.water.usgs.gov/edu/watercycleprecipitation.htmlPrecipitation rates vary geographically and over time

Слайд 14Precipitation size and speed
http://ga.water.usgs.gov/edu/watercycleprecipitation.html

Precipitation size and speedhttp://ga.water.usgs.gov/edu/watercycleprecipitation.html

Слайд 15Virga http://en.wikipedia.org/wiki/Virga
In meteorology, virga is an observable streak or shaft of

precipitation that falls from a cloud but evaporates before reaching

the ground.

At high altitudes the precipitation falls mainly as ice crystals before melting and finally evaporating; this is usually due to compressional heating, because the air pressure increases closer to the ground.

It is very common in the desert and in temperate climates.

Virga http://en.wikipedia.org/wiki/VirgaIn meteorology, virga is an observable streak or shaft of precipitation that falls from a cloud

Слайд 16Virga http://en.wikipedia.org/wiki/Virga

Virga can cause varying weather effects, because as rain is

changed from liquid to vapor form, it removes heat from

the air due to the high heat of vaporization of water.
In some instances, these pockets of colder air can descend rapidly, creating a dry microburst which can be extremely hazardous to aviation. Conversely, precipitation evaporating at high altitude can compressionally heat as it falls, and result in a gusty downburst which may substantially and rapidly warm the surface temperature. This fairly rare phenomenon, a heat burst, also tends to be of exceedingly dry air.

Virga also has a role in seeding storm cells whereby small particles from one cloud are blown into neighboring supersaturated air and act as nucleation particles for the next thunderhead cloud to begin forming
Virga can produce dramatic and beautiful scenes, especially during a red sunset. The red light can be caught by the streamers of falling precipitation, and winds may push the bottom ends of the virga so it falls at an angle, making the clouds appear to have commas attached.

Virga http://en.wikipedia.org/wiki/VirgaVirga can cause varying weather effects, because as rain is changed from liquid to vapor form,

Слайд 17Virga http://en.wikipedia.org/wiki/Virga

The word virga is derived from Latin, twig or branch.

A backronym sometimes found in amateur discussions of meteorology is

"Variable Intensity Rain Gradient Aloft."
Extraterrestrial occurrences

Sulfuric acid rain in the atmosphere of Venus evaporates before reaching the ground due to the high heat near the surface. Similarly, virga happens on gas giant planets such as Jupiter. In September 2008 NASA's Phoenix lander discovered a snow variety of virga falling from Martian clouds.
Virga http://en.wikipedia.org/wiki/VirgaThe word virga is derived from Latin, twig or branch. A backronym sometimes found in amateur

Слайд 18Virga http://en.wikipedia.org/wiki/Virga

Virga http://en.wikipedia.org/wiki/Virga

Слайд 201- w.v. supersaturation with respect to cloud droplet surface
2- w.v.

condensation process
3- if ice crystal appears ? distillation
4- coalescence /coagulation

begins as droplet
r= 20…60 micrometers
result of different downward W) ? gravitational coagulation;
eddy and Brownian movements ? … coagulation;








Processes of cloud element enlargement and precipitation formation

1- w.v. supersaturation with respect to cloud droplet surface2- w.v. condensation process3- if ice crystal appears ?

Слайд 21
Coagulation ?
rain drop, ice crystal grow up to few

mm,
snowflakes, hailstones –up to few cm

Rate of droplet

enlargement due to coagulation ~ r
Rate of droplet enlargement due to condensation ~ 1/r

Coagulation ? rain drop, ice crystal grow up to few mm, snowflakes, hailstones –up to few cm

Слайд 22Precipitation from stratiform clouds. Scheme of formation

Precipitation from stratiform clouds. Scheme of formation

Слайд 23The rate of fall for solid and liquid particles in

the atmosphere
Atm. Particle is affected by:
external forces (gravity, electrostatic,

buoyancy…)
air resistance force
force of interaction between particles

According to the 2 nd Newton’s law





The rate of fall for solid and liquid particles in the atmosphereAtm. Particle is affected by: external

Слайд 24According to Stocks law for ball like particles








(26.2) is valid

for low Reynolds number Re*

3 < Re < 400



According to Stocks law for ball like particles(26.2) is valid for low Reynolds number Re*

Слайд 25dimensionless numberdimensionless number, gives a measure of the ratiodimensionless number,

gives a measure of the ratio of inertial forcesdimensionless number,

gives a measure of the ratio of inertial forces to viscous forces and consequently quantifies the relative importance of these two types of forces for given flow conditions.












laminar flow occurs at low Reynolds numbers, where viscous forces are dominant, and is characterized by smooth, constant fluid motion;
while turbulent flow occurs at high Reynolds numbers and is dominated by inertial forces, which tend to produce chaotic eddies occurs at high Reynolds numbers and is dominated by inertial forces, which tend to produce chaotic eddies, vortices and other flow instabilities.



V  is the mean velocity of the object relative to the fluid (SI units: m/s)
L is a characteristic linear dimension, (travelled length of the fluid; hydraulic diameter when dealing with river systems) (m)
μ is the dynamic viscosityμ is the dynamic viscosity of the fluid (Pa·s or N·s/m² or kg/(m·s))
ν is the kinematic viscosity (ν = μ / ρ) (m²/s)
   is the density of the fluid (kg/m³)

dimensionless numberdimensionless number, gives a measure of the ratiodimensionless number, gives a measure of the ratio of

Слайд 26Ball-like particle fall under influence of gravity, small Re

External force=

gravity + buoyancy forces



Acting downward

acting upward air density



Ball-like particle fall under influence of gravity, small ReExternal force= gravity + buoyancy forcesActing downward

Слайд 27Owing to the fact that F and G are directed

along vertical line,
Using (26.2) and (26.5) :

Owing to the fact that F and G are directed along vertical line, Using (26.2) and (26.5)

Слайд 28Steady state motion ? dV/dt=0

Vs is a speed of

steady state motion





So, Vs ~ r2 at small Re (or

small r)


Steady state motion ? dV/dt=0Vs  is a speed of steady state motionSo, Vs ~ r2 at

Слайд 29
Unsteady motion ? dV/dt ≠ 0
let’s use an eq-on

of the particle motion








Since V=dx/dt, after integrating (26.10)







Unsteady motion ? dV/dt ≠ 0 let’s use an eq-on of the particle motionSince V=dx/dt, after integrating

Слайд 30At t=τ V ↓ in e times as compared

with V0 ? physical meaning of relaxation time

Assuming









All above

is true for ball-like particle


At t=τ  V ↓ in e times as compared with V0 ? physical meaning of relaxation

Слайд 31As droplet reaches r=> 0.5 mm ? deformations

Non ball-like particle

speed is determined empirically:


As droplet reaches r=> 0.5 mm ? deformationsNon ball-like particle speed is determined empirically:

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