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Storm water pipe system modeling
1. Progress Report (20180425 水曜日):
Fei Liu 劉非
Department of Socio-Cultural Environmental Studies
Graduate School of Frontier Sciences
the University of Tokyo, Chiba, Japan
• Sewer Pipe Model
(Complete Dynamic Wave Model)
2. Sewer pipe model
- Dynamic wave model
𝜕𝑄
𝜕𝑥
+
𝜕𝐴
𝜕𝑡
= 0
𝜕𝑄
𝜕𝑡
+
𝜕(𝑄2/𝐴)
𝜕𝑥
+ 𝑔𝐴(
𝜕 𝑦
𝜕𝑥
+ 𝑆𝑓 − 𝑆 ) = 0
Governing Equations:
Assumptions for St. Venant Equations:
1. Flow is one-dimensional
2. Hydrostatic pressure prevails and vertical accelerations are
negligible
3. Streamline curvature is small
4. Bottom slope of the channel is small
5. Manning’s equation is used to describe resistance effects
6. The fluid is incompressible
Steady, uniform flow
Steady, non-uniform flow
Unsteady, non-uniform flow
1