function called ForceMain in InfoSWMM whose purpose is to compute the Darcy-Weisbach friction factor for a force main using the .
a surcharged node in InfoSWMM uses this point iteration equation (Figure 4):
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/dH is the derivative with respect to H of the link St Venant equation. If you are trying to calibrate the surcharged node depth, the main calibration variables are the time step and the link roughness:
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. The point iteration continues until the sum of the flow in the node is zero – basically the new depth in the node either increases or decreases the friction loss in the force main so that net flow at the node is zero. This is why it is important to use the right time step to ensure that the net flow is zero when the pumps turn on and off.
Figure 4. 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 increases.
Thursday, May 24, 2012
Force Main Friction Loss in InfoSWMM and the Transition from Partial to Full Flow
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