---
title: "Continuous settling basin (10 m³/s)"
subject: "Hydropower Engineering"
chapter: 5
key: "semester_7/hydropower_engineering:settling-basin-continuous-10cumec-015mm"
source: https://www.bctengineer.com/q/semester_7/hydropower_engineering/settling-basin-continuous-10cumec-015mm
site: BCT Engineering
---

# Continuous settling basin (10 m³/s)

Hydropower Engineering · Chapter 5: Headworks of Run-of- River (RoR) Plants

- Asked in: 2079 Bhadra, 8 marks
- Video: [Design Of Settling Basin | Hazen's and Vetter's Equation |Hydropower Engineering numerical](https://www.youtube.com/watch?v=BKq6dZonTQU) — OPengineer
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_7/hydropower_engineering/settling-basin-continuous-10cumec-015mm
- Whole chapter: https://www.bctengineer.com/md/semester_7/hydropower_engineering/chapter-5

## Question

Design a continuous type settling basin with neat sketches for a hydropower plant using the following data: settling velocity = 5 cm/sec; turbine discharge = 10 m³/sec; particle size to be removed = 0.15 mm. Assume other necessary data if necessary.

## Short answer

Add 10% flushing, so design flow is 11 m3/s. Camp velocity is 0.1704 m/s; with H=3 m, provide two chambers 11 m wide. Turbulence gives effective fall velocity 0.037 m/s and length 13.8 m, adopt 15 m. Each chamber is 11 m x 15 m with hoppers.

## Answer

**Given**: design discharge $Q=10.0$ m³/s; particles of size $d\ge 0.15$ mm to be trapped, fall velocity $w=5.00$ cm/s $=0.0500$ m/s (given). The basin is of the continuous flushing type, so a flushing discharge of 10% (1.0 m³/s) is added. Turbulence is included, and other data are assumed. (A fall velocity of 5 cm/s is high for 0.15 mm sand, so the basin is short; the given value is used.)

Flushing water of 10% is added for continuous flushing, so the design flow of the basin is $Q'=10.0+1.0=11.0$ m³/s.

#### Step 1: Horizontal velocity (Camp)
For $0.1<d<1$ mm, $v=a\sqrt d$ with $a=44$ (v in cm/s, d in mm):
$$
v=44\sqrt{0.15}=17.04\ \text{cm/s}=0.1704\ \text{m/s}
$$
This is within the usual 0.1-0.4 m/s range, so deposited sediment is not re-suspended.

#### Step 2: Cross-section and width
Assume a flow depth $H=3.0$ m in the settling zone (the hopper depth is extra).
$$
B=\frac{Q'}{vH}=\frac{11.0}{0.1704\times3.0}=21.52\ \text{m}
$$
Provide $n=2$ chambers, so that one can be taken out for inspection while the other works: $b=B/n=10.76$ m each, adopt 11.0 m.

#### Step 3: Length without turbulence
$$
L_0=\frac{vH}{w}=\frac{0.1704\times3.0}{0.0500}=10.2\ \text{m}
$$

#### Step 4: Effect of turbulence
Turbulence reduces the effective fall velocity: $w'=w-\alpha$, with $\alpha=0.132\,v/\sqrt{H}$.
$$
\begin{aligned}
\alpha&=\frac{0.132\times0.1704}{\sqrt{3.0}}=0.0130\ \text{m/s}\\
w'&=0.0500-0.0130=0.0370\ \text{m/s}\\
L&=\frac{vH}{w'}=\frac{0.1704\times3.0}{0.0370}=13.8\ \text{m}
\end{aligned}
$$

#### Adopted dimensions
| Item | Value |
|---|---|
| Flow velocity $v$ | 0.170 m/s |
| Settling depth $H$ | 3.0 m (plus about 1.0 m for the flushing hoppers) |
| Number of chambers | 2 |
| Width of each chamber | 11.0 m |
| Length of settling zone | 15 m |
| Length/width ratio | 1.4 |
| Inlet transition | gradual, with guide vanes (side slope not steeper than about 1:5) |

Total volume of water in the basin $\approx 990$ m³. Because the basin is short and wide, a good inlet transition with guide vanes is essential to spread the flow evenly.

```text
PLAN (continuous flushing outlets along each chamber)
          inlet        settling chambers      outlet
 canal   transition  +=================+   transition
 =====>  \         / |  chamber 1      | \         /===> to
         /  guide  \ +-----------------+ /  weir   \    headrace
 =====>  \  vanes  / |  chamber 2      | \         /
         /         \ +=================+ /         \
  trash-                  |  |  flushing conduits (0.5 m3/s each)
  rack                    v  v  --> flushing channel --> river
```

```text
LONGITUDINAL SECTION
 inlet          settling zone (depth H)      outlet
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  WL
 \    --->   --->   --->   --->   --->   --->  |
  \  ______________________________________   | weir
   \/ \/ \/ \/ \/ \/ hoppers with bottom outlets \__|__ to headrace
   ==== flushing conduit (continuous flow) ====> river
```

**Flushing arrangement**: the floor of each chamber is formed into hoppers with bottom openings leading to a flushing conduit. About 0.5 m³/s per chamber (1.0 m³/s in total) is drawn off continuously through these openings and carries the settled sediment back to the river, so the chambers do not have to be taken out of service for flushing. A gate on each conduit controls the flushing flow, and inlet gates allow one chamber to be isolated for inspection while the other keeps supplying the plant.

**Answer**: 2 chambers, each about 11.0 m wide x 15 m long x 3.0 m deep (settling zone), with $v=0.170$ m/s and 1.0 m³/s of continuous flushing water.

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. Why is the basin designed for 11.0 m^3/s instead of 10.0 m^3/s?
   A. A 10% flushing discharge is added because continuous flushing draws extra water
   B. Turbulence increases the discharge by 10%
   C. The turbine discharge is multiplied by a safety factor of 1.1 for the tailrace
   D. Evaporation losses of 10% are added
   Answer: A. In a continuous-flushing basin about 10% of the flow leaves with the sediment, so Q' = 10 + 1 = 11 m^3/s is used for sizing. (Key point: Design flow for continuous flushing)

2. What horizontal velocity is used and why is it acceptable?
   A. 0.0500 m/s, equal to the fall velocity
   B. 0.1704 m/s, within 0.1-0.4 m/s so deposits are not re-suspended
   C. 0.50 m/s, which sweeps sediment to the flush channel
   D. 1.70 m/s, to keep the flow turbulent
   Answer: B. v = 44 sqrt(0.15) = 17.04 cm/s = 0.1704 m/s, within the usual range that avoids scouring of settled sediment. (Key point: Camp velocity and its limit)

3. With H = 3.0 m, what total width results and how is it divided?
   A. B = Q'/(vH) = 21.52 m, divided in 2 chambers of about 11 m
   B. B = Q/(wH) = 66.7 m in one chamber
   C. B = Q'/(vH) = 21.52 m, kept as one chamber so flow is smooth
   D. B = vH/w = 10.2 m in two chambers of 5.1 m
   Answer: A. B = 11.0/(0.1704 x 3.0) = 21.52 m; two chambers give about 10.76 m each, adopted as 11.0 m. (Key point: Width of the basin)

4. How does turbulence change the length of the settling zone?
   A. It shortens the length, since turbulence helps particles reach the bed
   B. It has no effect on length, only on width
   C. It reduces the effective fall velocity (w' = w - alpha), so L rises from 10.2 m to 13.8 m
   D. It increases the fall velocity, so L drops to 6 m
   Answer: C. Turbulence lifts particles: w' = 0.050 - 0.013 = 0.037 m/s, so L = vH/w' = 13.8 m (adopted 15 m) instead of 10.2 m. (Key point: Effect of turbulence on length)

## Related in Hydropower Engineering

- [Single chamber settling basin design (15 m³/s)](https://www.bctengineer.com/question.md?key=semester_7%2Fhydropower_engineering%3Asettling-basin-single-chamber-15cumec) — Hydropower Engineering, chapter 5
- [Settling basin 60 m³/s, 0.2 mm, w = 1.5 cm/s](https://www.bctengineer.com/question.md?key=semester_7%2Fhydropower_engineering%3Asettling-basin-60cumec-02mm-w15) — Hydropower Engineering, chapter 5, asked 4×
- [Settling basin trap efficiency (Camp's diagram)](https://www.bctengineer.com/question.md?key=semester_7%2Fhydropower_engineering%3Asettling-basin-camp-diagram-80cumec) — Hydropower Engineering, chapter 5
- [Settling basin 60 m³/s, 0.15 mm, head 100 m](https://www.bctengineer.com/question.md?key=semester_7%2Fhydropower_engineering%3Asettling-basin-60cumec-head-100m-015mm) — Hydropower Engineering, chapter 5
- [Settling basin 60 m³/s, 0.15 mm, head 300 m](https://www.bctengineer.com/question.md?key=semester_7%2Fhydropower_engineering%3Asettling-basin-60cumec-300m-015mm-turbulence) — Hydropower Engineering, chapter 5, asked 2×
- [Settling basin 6 m³/s, 0.25 mm, depth 3 m](https://www.bctengineer.com/question.md?key=semester_7%2Fhydropower_engineering%3Asettling-basin-6cumec-025mm-depth3m) — Hydropower Engineering, chapter 5

## Related in other subjects

- [Settling basin design for 0.15 mm particles](https://www.bctengineer.com/question.md?key=semester_6%2Fhydro_power%3Asettling-basin-design-0-15mm) — Hydro Power, chapter 5
- [Settling velocity of silica particle 0.05 cm at 10°C](https://www.bctengineer.com/question.md?key=semester_5%2Fwater_supply_engineering%3Ased-as69a) — Water Supply Engineering, chapter 6
- [Continuous flow sedimentation tank particle size](https://www.bctengineer.com/question.md?key=semester_6%2Fsanitary_engineering%3Ased-tank-continuous-4m-60m) — Sanitary Engineering, chapter 7
- [Settling basin design for 0.25 mm sediment](https://www.bctengineer.com/question.md?key=semester_6%2Fhydro_power%3Asettling-basin-design-0-25mm) — Hydro Power, chapter 5
