&会扇 Held-Hou model -Upper jet Angular momentum conservation: lu Sa cos UM Radiative equilibrium: From thermal wind relation and assuming surface zonal wind is weak: 百IFROM EQ.I2W UE gH△H Sa De EQUATOR 04 POLE LATITUDE 授课教师：张洋12
UE = gHH ⌦a 授课教师：张洋 12 Held-Hou model -Upper jet [u] = ⌦a sin2 cos ⌘ UM n Angular momentum conservation: n Radiative equilibrium: From thermal wind relation and assuming surface zonal wind is weak:
&会永 Held-Hou model -Upper jet 100 [u=2 sin2Φ 75 UM gHAH 50 UE= Da UE 25 UM 9H 10 20 30 Latitude 授课教师：张洋 13
UE = gHH ⌦a 授课教师：张洋 13 Held-Hou model -Upper jet [u] = ⌦a sin2 cos ⌘ UM
Held-Hou model -Summary 百IFROM EQ.12) Distribution of temperature constrained the cor angular momentum:and thermal wind balance 百（中，习=1 AHB(sin) 2 a(0)-6(o)_22a2sin4 Smaller than the 日. Θ。 2gH cos2 o RE temp gradient EQUATOR POLE Extent of Hadley Cell: LATITUDE -（得） Use parameters: H 10km, △H 50K, 日o 三 300K, Upper jet 白E0 :303K [u=2a =UM cos o Then: φH 20.4° (0)-Θ（ΦH) 5K Roughly consistent with observations 授课教师：张洋14
Held-Hou model -Summary 授课教师：张洋 14 n Extent of Hadley Cell: n Distribution of temperature constrained the conservation of angular momentum: and thermal wind balance. H = ✓5 3 gHH ⌦2a2 ◆1/2 n Upper jet [u] = ⌦a sin2 cos ⌘ UM ⇥˜ (0) ⇥˜ () ⇥o = ⌦2a2 2gH sin4 cos2 Smaller than the RE temp gradient ⇥˜ E(, z) ⇥o = 1 2 3 HP2(sin ) H = 10km, H = 50K, ⇥o = 300K, ⇥˜ E(0) = 303K H = 20.4o ⇥˜ (0) ⇥ ˜(H) ⇠ 5K Use parameters: Then: Roughly consistent with observations