, Volume 16, Issue 1, pp 85–99

# Analysis of transients in a canal network

• Rajeev Misra
• M S Mohan Kumar
• K Sridharan
Hydraulics

## Abstract

A generalised formulation of the mathematical model developed for the analysis of transients in a canal network, under subcritical flow, with any realistic combination of control structures and their multiple operations, has been presented. The model accounts for a large variety of control structures such as weirs, gates, notches etc. discharging under different conditions, namely submerged and unsubmerged. A numerical scheme to compute and approximate steady state flow condition as the initial condition has also been presented. The model can handle complex situations that may arise from multiple gate operations. This has been demonstrated with a problem wherein the boundary conditions change from a gate discharge equation to an energy equation and back to a gate discharge equation. In such a situation the wave strikes a fixed gate and leads to large and rapid fluctuations in both discharge and depth.

### Keywords

Unsteady flow open channel networks canal transients

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### References

1. Bos M G 1976Discharge measurement structure (New Delhi: Oxford andIBH)Google Scholar
2. Chatterjee A K, Debnath L 1980 Mathematical model for flood and embankment prediction in a tidal river.Acta Mech. 36: 187–194
3. Debnath L, Chatterjee A K 1979 Nonlinear mathematical model for the propagation of tides in interlocking channels.Comput. Fluids 7: 1–12
4. Gichuki F N, Walker W R, Merkley G P 1990 Transient hydraulic model for simulating canal network operation.J. Irrig. Drain. Eng., ASCE 116(1): 67–82
5. Henry R F 1972 Simulation of long waves in branching water ways.J. Hydraul. ASCE 89: 604–629Google Scholar
6. Huang J, Song C C S 1985 Stability of dynamic flood routing schemes.J. Hydraul. ASCE 111: 1497–1505
7. Joliffe I B 1984 Computations of dynamic waves in channel networks.J. Hydraul. ASCE 110: 1358–1370Google Scholar
8. Kan A O A, Yen B C 1981 Diffusion wave flood routing in channel network.J. Hydraul. ASCE 107: 719–732Google Scholar
9. Kao J E 1980 Improved Implicit procedure for multichannel surge computations.Can. J. Civil Eng. 7: 502–512
10. Price R K 1974 Comparison of four numerical methods for flood routing.J. Hydraul. ASCE 100: 879–899Google Scholar
11. Ramakrishnan C R 1979Flow characteristics of rectangular and trapezoidal finite crested weirs and triangular profile weirs, PhD thesis, Indian Institue of Science, BangaloreGoogle Scholar
12. Stoker J J 1957Water waves (New York: Interscience)
13. Swain E D, Chin D A 1991 Model of flow in regulated open channel network.J. Irrig. Drain. Eng. ASCE 116: 537–556