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Design considerations: free and submerged outlets

Short answer

Free outlets discharge as a free jet; size from q = Cd a sqrt(2gH), set sill for desired flexibility, and ensure minimum head to avoid drowning. Submerged outlets depend on head difference between distributary and water course; size from q = Cd a sqrt(2g(Hd - Hw)), ensure submergence, and prevent tampering.

Discuss design considerations for free and submerged outlets.

Free (semi-modular) outlets

Water leaves as a free jet, so the discharge depends on the distributary level only: q=Cd a2g Hq = C_d\,a\sqrt{2g\,H}, with HH the head over the centre of the opening.

Design considerations:

  1. Fix the required discharge q=A ΔTq = \dfrac{A\,\Delta}{T} from the command area, the depth of water (duty) and the period.
  2. Choose the setting H/DH/D (sill level) to give the required flexibility, F=mnDHF = \dfrac{m}{n}\dfrac{D}{H}: a deeper (lower) setting gives a lower flexibility but draws more silt; a higher setting gives a higher flexibility. For proportionality, H/D=m/nH/D = m/n.
  3. Provide a minimum working head so that the jet is not drowned by the water course level (modular limit).
  4. Size the opening from the discharge equation; a pipe also needs a check on its length and friction.
  5. Set the sill at a suitable height above the distributary bed so that it draws its share of silt.
  6. Provide a free fall or stilling space d/s, and protect the water course with stone pitching.

Submerged (non-modular) outlets

The water level in the water course is higher than the outlet crest, so the discharge is q=Cd a2g (Hd−Hw)q = C_d\,a\sqrt{2g\,(H_d - H_w)} and depends on both levels.

Design considerations:

  1. Required discharge as above.
  2. Determine the available head difference (Hd−Hw)(H_d - H_w) from the levels in the distributary and the water course at FSL.
  3. Size the opening: a=qCd2g(Hd−Hw)a = \dfrac{q}{C_d\sqrt{2g(H_d - H_w)}}.
  4. Check that the outlet remains submerged over the range of flows and does not become hyper-proportional.
  5. Prevent tampering: the opening should be fixed, preferably a pipe set in masonry.
  6. Provide a settling basin in the water course if silt is a problem.

Free outlets are preferred, since they are not affected by the water course.

✓ Answer checked by Claude Opus 5.5 (high effort)

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