^^2i-i ^ ^ (36) 



where i is the boundary node nuimber. 



69. If the external boundary is given as the value of the flow rate at 

 the end node i of a channel, the corresponding boundary equation is Equa- 

 tion 17, which is denoted as F2i, and its partial derivative is given as 



^ = 1 (37) 



Junction conditions 



70. The junction conditions for a three-node junction are given by 

 Equations 19 and 21. Assuming junction node k to be the end node of a channel 

 and junctions 1 and m to be the beginning nodes of a channel, then the three 

 junction equations are numbered as given in the system of Equations 38, 



F2k = Qk- Qi- Q. 

 F,.., = z. - z, (38) 



71. The partial derivatives of the junction equations are given in the 

 system of Equations 39. 



.^ 1 

 dF^ - _i 

 dF2k 1 



^^2^-1 = 1 (39) 



3zt 



30 



