(Solved): A fuel jettisoning pipeline in the wing shown in Figure 1 (on Page 3 ) has length of: l=l1+l2 ...

A fuel jettisoning pipeline in the wing shown in Figure 1 (on Page 3 ) has length of: $$l=l_1+l_2$$ and constant diameter $$D$$. The fuel from the fuel reservoir is pumped through the pipeline with fuel rate $$Q$$. The pipeline branches into three (3) very short tubes of diameter $$D$$ (tubes 1,2 , and 3 ) with discharge nozzles, used for jettisoning fuel into the atmosphere $$\left({\mathbf{P}}_{atm}\right)$$. Each discharge nozzle induces minor pressure loss equal to $$?$$ (constant for all nozzles). Length of the branching tube with nozzle negligible. The minor losses in pipes $$l_1$$ and $$l_2$$ due to friction follow Darcy's formula The height differences between pipeline elements are negligible. Use Conservation Laws and Bernoulli Equation to calculate the ratio of pipe lengths $$l_1:l_2$$, if the flow: through the nozzles are as follows: $$Q_2=3Q_3;Q_1=3Q_2;$$ [15 Marks] Data and equations required for the calculations are given in Table 1 on Page 3 Table 1 Figure 1. Fuel Jettisoning installation functional diagram