Stability of zonal flows
237
d. Show that the background flow is unstable when
∂ ¯
ρ
∂y
>Stan φ
where S is the Burger number.
e. Explain now why there is instability only when μ<μ c , where μ 2 =
(k 2 +[(n +1/2)π] 2 )S (section 10.3).
237
d. Show that the background flow is unstable when
∂ ¯
ρ
∂y
>Stan φ
where S is the Burger number.
e. Explain now why there is instability only when μ<μ c , where μ 2 =
(k 2 +[(n +1/2)π] 2 )S (section 10.3).