Subject: Surcharged Node and the Link Connection in SWMM 5
A surcharged node in SWMM 5
dY/dt = dQ / The sum of the Connecting Link values of dQ/dH
where Y is the depth in the node, dt is the time step, H is the head across the link (downstream – upstream), dQ is the net inflow into the node and dQ/dHis the derivative with respect to H of the link St Venant equation.
1. Mannings's N
2. Hazen-Williams or
The link roughness is part of the term dq1 in the St Venant solution and the other loss terms are included in the term dq5. You can adjust the roughness of the surcharged link to affect the node surcharge depth.
Figure 1. The Node Surcharge Equation is a function of the net inflow and the sum of the term dQ/dH in all connecting links. Generally, as you increase the roughness the value of dQ/dH increases and the denominator of the term dY/dt = dQ/dQdH
Figure 2. The value of dQ/dH in a link as the roughness of the link increases.
Monday, January 16, 2012
Surcharged Node and the Link Connection in SWMM 5
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