Column with unit cross-sectional area Pressure = p + p p - - PowerPoint PPT Presentation

column with unit cross sectional area pressure p p p
SMART_READER_LITE
LIVE PREVIEW

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


slide-1
SLIDE 1

Column with unit cross-sectional area Pressure = p + δp Pressure = p Ground z –δp gρδz δz

slide-2
SLIDE 2

Virtual temperature, Tv

(K)

From radiosonde data

A B C E D Tv ln p1 ln p2 ln p

slide-3
SLIDE 3

(a) (b)

W A R M W A R M C O L D

12 Height (km)

slide-4
SLIDE 4

V1 V2

V

Pressure p1 p2

p

A Q B Volume P F Piston Working substance Distance, x Cylinder dV

slide-5
SLIDE 5

Pressure Volume Isotherm Adiabat C B A

slide-6
SLIDE 6

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

slide-7
SLIDE 7

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

slide-8
SLIDE 8

(a) Unsaturated (b) Saturated Water

· · · · · · · · · · · · · · · · · · · · · · · · · · · · · · · ·

T, e T, es

· · ·

Water

slide-9
SLIDE 9

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

slide-10
SLIDE 10

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

slide-11
SLIDE 11

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฀

slide-12
SLIDE 12

Temperature TA TB Height Γd Γ (b) A B (a) Temperature TA TB Γd Γ O B A Height O

slide-13
SLIDE 13

ρg Surface ρ′g ρ, T ρ′, T ′ z

slide-14
SLIDE 14
slide-15
SLIDE 15
slide-16
SLIDE 16

B O A Γ Height LFC LCL Γs Γd Temperature

slide-17
SLIDE 17

(a) (b) (c) B A A B A B A B (d)

slide-18
SLIDE 18

B A Td T Height Temperature

slide-19
SLIDE 19

Force

P Y B S H C T2 T1

slide-20
SLIDE 20

T1 Isotherm T2 Isotherm B C D A Adiabat Adiabat Pressure Volume

slide-21
SLIDE 21

T1 T2 T3 θ1 θ2 θ3 Volume Pressure

slide-22
SLIDE 22

T1 T2

A X Y D Adiabat Adiabat Isotherm Isotherm Temperature, T Entropy, S B C

slide-23
SLIDE 23

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

slide-24
SLIDE 24

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

slide-25
SLIDE 25

(a) (b) patmos patmos Pressure inside bubble = es(TB) = patmos T < TB Water T = TB Water

slide-26
SLIDE 26

Q1 Q1 Q2 Q2 – q

R I Source θ

1

Sink θ

2