Symmetric Baroclinic Oscillations - An Introduction to Dynamic Meteorology - page 510

Chapter 4

1. − 2 × 10 7 m 2 s − 1 , − 2 × 10 − 5 s − 1 2 . − 5.5ms − 1 3. − 2 × 10 − 5 s − 1

(antiyclonic)

4. 9.4 × 10 − 5 s − 1 , − 8.4 × 10 − 6 s − 1 5. 0 (annulus), 5 × 10 − 5 s − 1

(inner cylinder)

7. − 7.2m 2 s − 2 9. h(r) = H + 2 r 2 /(2g)
12. 10 − 5 s − 1 , − 1.29 × 10 − 5 s − 1 , − 1546 km
14. 0.71˚ equatorward, 138.6 km upward

Chapter 5

10 3 kg m − 1 s − 1 (mixed layer) 4. 293 s, 1.7 cm 5. 3.21 × 6. De = 14.05 m

10 − 3 mm s − 1 , v max = 0.75 mm s − 1 8. w max = 9.6 × 9. 155 days

11 m 2 s − 1 10. K m =

Chapter 6

3. 2.84 × 10 − 6 s − 1 4. ω(p) =− (k 2 c 2 p 0 /f 0 π)sin(πp/p 0 ) cos [ k(x

− ct) ]

5. k 2

2 8. W 0 =− cf 0 U 0 π/(σp 0 )
9. ω(p) = (Vp 0 /f 0 π) [ k 2 (c − U) + β ] sin(πp/p 0 ) cos [ k(x

= σ [ (f 0 π )/(σp 0 ) ]

− ct) ]

10. c = U − β [ k 2 + (f 0 π 2 )/(σp 0 ] − 1 11. 0.047 Pa s − 1

Chapter 7

2. B r = A cos k x 0 , B i =− A sin kx 0 , c r = ν/k, c i = α/k

u ) ( γ p ) ,ρ p ( c u ) H 4. u = p ( c u ) 2 7. u = h ( c

− = − −

2 (2k)

9. ρ 0 u w =− ρ 0 m | A |

0.66ms − 1 sin (kx + mz) ,w 0.75ms − 1 sin (kx + mz)

12. u =

=−

24.3ms − 1 0.633 cm s − 1

16. − 17. −

Chapter 8

1. 6.04 × 10 4 s (about 17 hrs.)
2. ψ 3 =− ψ 1 = Acos k(x − c r t)
ω 2 =− c r t)] / σδp(k 2 2λ 2 ) 2kf 0 βAsin [k(x − +

λβ √ 3 − 1 Asin [k (x − c r t)]/3

3. ω 2 = δpf − 1

0

1 1/2 = A √ 2 6. ψ 1 lags ψ 3 10 6 m 2 s − 1

by 65.5˚ 7. | B | = − 6.44 ×

9. 2.38 × 10 9 Jm − 2 13. v T is independent of .

Chapter 9

6. 1.42 m s − 1 5. 344 K 8. r = 135.7km