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<br />w = u tan ~ <br /> <br />(3.75) <br /> <br />I <br />1-- <br />1- <br />L <br />I- <br />I- <br />I~ <br />l. <br />1- <br />1_. <br />1,- <br />1- <br />I~ <br />I- <br />I- <br />I- <br />I- <br />1_- <br />1- <br /> <br />- 76 - <br /> <br />3.4.2 Equations for Wind, Temperature, and Liquid Water Fie~ds . <br /> <br />The horizontal wind velocity u is obtained fr~m the equation of continuity <br /> <br />along a stream tube. The compressibility of air is i~ored. <br /> <br />Az <br />u = ~ u (3.74) <br />Az 0 <br /> <br />The upstream wind velocity u is obtained from the upwind sounding. The <br />o <br />vertical. wind component w is then <br /> <br />where ~ is calculated from the airflow model output. <br /> <br /> <br />Since adiabatic flow is a basic assumption of the airflow model, the <br /> <br /> <br />temperature field is obtained from the upstream temperature profile using the <br /> <br /> <br />parcel method. Therefore, <br /> <br />z <br />T = To - ~. y(z') dz' <br />z <br /> <br />( 3. 76 ) <br /> <br />The value of y(z') is either Yd or Ym depending on whether z' is inside or <br />outside of the cloudy layer. Hence <br /> <br />T = T - Y (z z ) (z, Zo < H ) <br /> 0 d 0 c <br />T = T yd{Hc - z ) - y (z - H ) (z < H < z) (3.77) <br /> 0 o m c 0 c <br />T = T - Y (z - z ) (H < z, Zo) <br /> om. 0 c <br /> <br /> <br />