设雾 Hadley Cell Role of eddies* Qualitative considerations 易M=-,C+where品-品+ D∂ 0 acosΦa入a0b In an axisymmetric flow ([M]=M): 2l-aosiA In a 3-D(with eddies)flow,the zonally averaged angular momentum: ade品adso+是o 0m+1 O arde品(m-是mo+aasB 1 1 vjos2到-品uror1es+as9B acosΦ0Φ Neglecting vertical advection,vertical eddy fluxes and friction: m]+回am=-1} O a 8o acos(a cos) 授课教师：张洋8授课教师：张洋 @[m] @t + [v] a @[m] @￾ = ￾ 1 a cos ￾ @ @￾([u⇤v⇤]a cos2 ￾) 8 Hadley Cell : Role of eddies* ! Qualitative considerations In a 3-D (with eddies) flow, the zonally averaged angular momentum: D Dt M = ￾1 ⇢ @p @￾ + a cos ￾F￾ In an axisymmetric flow ([M]=M): D Dt[M] = a cos ￾[F￾] D Dt = @ @t + u a cos ￾ @ @￾ + v a @ @￾ + w @ @z , where Neglecting vertical advection, vertical eddy fluxes and friction: @[m] @t + 1 a cos ￾ @ @￾ ([v][m] cos ￾) + @ @z ([w][m]) = ￾ 1 a cos ￾ @ @￾([m⇤v⇤] cos ￾) ￾ @ @z ([m⇤w⇤]) + a cos ￾[F￾] = ￾ 1 a cos ￾ @ @￾([u⇤v⇤]a cos2 ￾) ￾ @ @z ([u⇤w⇤]a cos ￾) + a cos ￾[F￾]