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1 Meteorology: an introduction to weather, climate and the environment by Dr John S. Reid Fellow of the Royal Meteorology Society Department of Physics University of Aberdeen
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May 27, 2018

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Page 1: Meteorology: an introduction to weather, climate and the ...homepages.abdn.ac.uk/nph120/meteo/metoh1.pdf · 1 Meteorology: an introduction to weather, climate and the environment

1

Meteorology: an introduction to weather, climate and the

environmentby

Dr John S. Reid Fellow of the Royal Meteorology Society

Department of PhysicsUniversity of Aberdeen

Page 2: Meteorology: an introduction to weather, climate and the ...homepages.abdn.ac.uk/nph120/meteo/metoh1.pdf · 1 Meteorology: an introduction to weather, climate and the environment

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Introduction

Course hand-outscope of course

Course text-bookMeteorology Today

by C. Donald Ahrens[p 5 or page 6/7/8 → 6th

ed’n/7thed’n/8th ed’n page numbers]

first-class book Buy it!

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200 Years of ObservationsCromwell Tower observatory (1868) waspart of the first British national met network

George Aubourne Clarke

rSolarimeteOur

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Earth’s Atmosphere - chapter 1

Earth’s atmosphere is very thin99% of atmosphere is within 30 km of sea-level [page 2]all weather is well within this height

Earth’s atmosphere does containa lot of molecules: about 1044 mols

1 breath ≈1 litre ≈1022 mols [p 5/4/4] Each breath contains over a million molecules breathed1 lifetime ≈108 litres by any

real historical character

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Atmospheric Composition

The atmosphere is not a fixed set of moleculesexchange between land, sea, living things and atmosphere; also between ‘space’ and atmosphere

Dry atmosphere:78% nitrogen (N2); 21% oxygen (O2);1% argon (Ar)[page 3]

Dry atmospheric composition

nitrogen78%

oxygen21%

argon1%

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Composition: the restTrace gases: carbon dioxide (CO2) 380 ppm; methane (CH4) 1.7 ppm; nitrous oxide (N2O) 0.3 ppm

ppm stands for parts per millionin terms of numbers of moleculesrate increase CO2 about 2 ppm/yearmore than 50 times CO2 in oceansthan in atmosphere

Variable element: water (H20) 0 - 4%

with 4% water, the % of N2 andother gases reduces

Earth’s early atmosphere

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Structure of Atmosphere

The atmosphere gets less dense as you go up

The pressure at any level is caused by the weight of air in a column above [page 8/9/9]

volume v

mass m

area a

force f

3-m kgin vmvolumemassdensity

=

=

2-m Nin afareaforcepressure

=

=

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Units of PressureMks unit of pressure:

Pascal = 1 N m-2

Meteorologist’s unit: mb (millibar) = 100 Pa ≡ 1 hPaSea level pressure is about

1000 mbIsobars are lines of constant

pressureBarometers may use:

mm of Hg = 1.33 mb(millimetres of mercury) 1 mm Hg ≡ 1 torr

Photo: JSR

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Pressure Decreases with AltitudeWeight is proportional to mass

g is acceleration due to gravity (~9.81 m s-2)

Weight of all the air above produces air pressure

density and pressuregenerally vary together; see fig. 1.7/1.7/1.8

mass m

Weight = m g

p ressu re

W eigh t o f a ir

co lum nabove

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Exponential Fall of Pressure

Atmospheric pressure falls almost exponentially with height

Variation of pressure with height

0

10

20

30

40

50

60

0.00 200.00 400.00 600.00 800.00 1000.00

1200.00

pressure (mb)

heig

ht (k

m)

1.000 2.000 3.000 4.000 5.000 6.000 7.000

ln(pressure)

height (km)ln (pressure)

P h P e h H( ) ( ) /= −0

P h e mb( ) ( / )= =−1010 25511 8

P pressure; h height; H is a constant‘scale height’ at which the pressure drops by a factor of ‘e’If H = 8 km and ground level pressure is 1010 mb, what is the pressure outside an airliner flying at a height h of 11 km?

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11Just above 5500 m, the height at which half the atmosphere is beneath you. Near La

Paz in Chile, courtesy Helen Fraser, a friend with a better head for heights than I have.

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Why does pressure fall exponentially?

There are 2 lines to the argumenthydrostatic equilibrium requires:

gas law requires:

combining these two gives:

which is the fundamental ruleunderlying exponential change

densitypressureinchange ∝

pressuredensity ∝

pressurepressureinchange ∝

∝ densitypressurechange

column ofatmosphere

wt

Edmund Halley in 1686appreciated the exponentialdecrease of pressure with height

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Consequences of exp decay of atmosphere

Most of a planetary atmosphere is close to the groundThe scale height H depends onmolecular weight

R gas constant; T Temperature; M molecular weight; g gravitational constantlight gases have larger scale height H and therefore you expect the outer atmospheric layers to be atomic O and then helium and hydrogen, which they are!

H RT Mg≈ /Auroral rays

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Atmospheric Constituents Separated

Graphic showing heights of columns of different gases in atmosphere if gases were separated

CO2 3 m

Ar 80 m

H2O 250 m

O2 2.2 km

N2 ↑

N2 76%

O2 21%

H2O 2%Ar 1%CO2 370 ppm

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Annual average(cospardata)

See fig. 1.9/1.9/1.10

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Troposphere

The region around the Earth closest to the ground [p. 10/10/11]The temperature decreases with increasing height

lapse rate about 6°C - 10°C per kmat about 10 km, temp around -60°C

Includes 80% of atmosphereWeather occurs in the troposphere Top of region is the tropopause

Ice particle haloes; courtesy Bienkowski

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Sun Dogs

Sundogs and halo at Balmedie beach 02/02/2008; Courtesy Martyn Gorman

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StratosphereIsothermal layer (i.e. constant temperature)

up to a height of 25 kmTemperature inversion up to 50 km, where temperature is about 0°CHeating caused byozone UV absorptionTop of stratosphereis the stratopause

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Mesosphere & Above

‘Middle Sphere’ - from 50 km to ~90 kmTemperature falls steadily with height to about -80°C

at the mesopause, where the pressure ~0.01 mbNoctilucent

cloudsHigher still:

thermosphereexosphere

Mesospheric clouds (noctilucent clouds): courtesy M Gadsden

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Radiosondes They carry instruments to measure the vertical structure of atmosphere: temperature, pressure and humidity up to 30 km [page 14]Measurements returned by radioTracking balloon position will give

the vertical profile of winds, tooa wind tracking balloon is called a rawinsonde

A graph showing all results is calleda sounding

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Radiosonde Sensors

Humidity sensor

Pressure sensorssilicon technology:

pressure changeselectrical capacitance

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Radiosonde Telemetry

Transmitter operates athigh frequencies

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Radio-sondes

Stations releasing daily radiosondes

Courtesy: http://www.meteo.uni-koeln.de/meteo.php?show=En_We_We