Column with unit cross-sectional area Pressure = p + δp Pressure = p Ground z –δp gρδz δz
Column with unit cross-sectional area Pressure = p + p p - - PowerPoint PPT Presentation
Column with unit cross-sectional area Pressure = p + p p - - PowerPoint PPT Presentation
Column with unit cross-sectional area Pressure = p + p p Pressure = p z g z z Ground A B ln p 2 C ln p E ln p 1 From radiosonde D data T v Virtual temperature, T v (K) W A 12 R Height (km) M W C A O L R D M
Virtual temperature, Tv
(K)From radiosonde data
A B C E D Tv ln p1 ln p2 ln p
(a) (b)
W A R M W A R M C O L D
12 Height (km)
↔
V1 V2
V
Pressure p1 p2
p
A Q B Volume P F Piston Working substance Distance, x Cylinder dV
Pressure Volume Isotherm Adiabat C B A
Pressure p (hPa) Temperature T (K)
θ = 100 K θ
= 2 K
θ
= 3 K
θ = 400 K θ = 500 K
10 100 200 300 400 600 800 1000 400 300 200 100
Pressure (hPa) I s
- t
h e r m T = ° C T = 2 ° C Dry Adiabat θ = 293 K θ = 273 K θ = 2 5 3 K 400 600 800 1000 T = – 2 ° C
(a) Unsaturated (b) Saturated Water
· · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · ·
T, e T, es
· · ·
Water
Temperature (°C) es–esi es es – esi (hPa)
0.28 0.24 0.20 0.16 0.12 0.08 0.04 60 50 40 30 20 10
Saturation vapor pressure es over pure water (hPa)
–50 40 30 20 10 –10 –20 –30 –40
C (p, Td, ws (A)) A θ constant ws constant (p, T, w) B Pressure (hPa) Lifting condensation level for air at A 1000 800 600 400
T
P r e s s u r e ( h P a )
Td
LCL 1000 800 600 400 1000 800 600 400
p qw ws q ws q Tw qe
Temperature TA TB Height Γd Γ (b) A B (a) Temperature TA TB Γd Γ O B A Height O
ρg Surface ρ′g ρ, T ρ′, T ′ z
B O A Γ Height LFC LCL Γs Γd Temperature
(a) (b) (c) B A A B A B A B (d)
B A Td T Height Temperature
Force
P Y B S H C T2 T1
T1 Isotherm T2 Isotherm B C D A Adiabat Adiabat Pressure Volume
T1 T2 T3 θ1 θ2 θ3 Volume Pressure
T1 T2
A X Y D Adiabat Adiabat Isotherm Isotherm Temperature, T Entropy, S B C
es es – des B C D A Saturated vapor pressure Saturated vapor pressure es – des es
A, D B, C
T – dT T (b) Temperature (a) Volume
T-dT
es – des T – dT es – des es – des T – dT es T es T T es T – dT es – des T es T – dT
(a) (b) (c) (d)
A D D C C B B A
SOURCE T SINK T – dT
(a) (b) patmos patmos Pressure inside bubble = es(TB) = patmos T < TB Water T = TB Water
Q1 Q1 Q2 Q2 – q
R I Source θ
1
Sink θ
2