HW2_Zhujun

Q5. a) The heating profile is shown as below. Q was assigned a value of 1. The total heat added can be vertically integrated from the heating profile that for S equals to different value the total heat is 636.619, unchanged.

b) Lr=N/mf where N=2*pi/600s, m1=pi/14km m2=2*pi/14km f=1*10-4 for the convection mode Lr=466.667 km for the stratiform mode Lr=233.333 km

C) The tangential wind is symmetric in magnitude but in opposite sign on each side of x axi



d) This curve is nonlinear because KE is not linearly depended on tangential wind, although tangential wind is a linear function of S.

e) The curve is linear. This indicates the surface flux is proportional to the stratiform fraction, when the wind field is closer to stratiform mode the surface flux is higher, vice versa. The low-level rain evaporation and downdraft cools the low level air (negative heating), induces the surface flux. The increase of surface flux implies the increase of S. Therefore, the rain evaporation and downdraft at the low level leads to stronger stratiform mode.