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# Introduction

Introduction to Weirs View version details
Contents

### Key Facts

Gyroscopic Couple: The rate of change of angular momentum ( ) = (In the limit).
• = Moment of Inertia.
• = Angular velocity
• = Angular velocity of precession.

Blaise Pascal (1623-1662) was a French mathematician, physicist, inventor, writer and Catholic philosopher.

Leonhard Euler (1707-1783) was a pioneering Swiss mathematician and physicist.

## Introduction

### Definition

A structure, used to dam up a stream or river, over which the water flows, is called a weir. The conditions of flow, in the case of a weir, are practically the same as those of a rectangular notch. That is why, a notch is, sometimes, called as a weir and vice versa.

The only difference between a notch and a weir is that the notch of a small size and the weir is of a bigger one. Moreover, a notch is usually made in a plate, whereas a notch is made of masonry or concrete.

### Types Of Weirs

There are many types of weirs depending upon their shape, nature of discharge, width of crest and nature of crest. But the following are important from the subject point of view :

1. According to the shape :
• Rectangular weir
• Cippoletti weir

2. According to the nature of discharge :
• Ordinary weir
• Submerged or drowned weir

3. According to the width of crest :
• Narrow crested weir

4. According to the nature of crest :
• Sharp crested weir
• Ogee weir

### Velocity Of Approach

Sometimes, a weir is provided in a stream or a river to measure the flow of water. In such a case, the water, approaching the weir, has got some velocity, known as velocity of approach. It is assumed to be uniform over the whole weir.Let,

• A = Cross sectional area of the channel on the upstream side of the weir, and
• Q = Discharge over the weir Velocity of approach, ### Ventilation Of Rectangular Weirs

It has been observed that whenever water is flowing over a rectangular weir, having no end contractions, the nappe (i.e., the sheet of water flowing over the weir) touches the side walls of the channel. After flowing over the weir, the nappe falls away from the weir, thus creating a space beneath the water as shown in fig-1. In such a case, some air is trapped beneath the weir.

This air is carried away by the flowing water, which results in creating a negative pressure beneath the nappe. The negative pressure drags the lower side of the nappe towards the surface of the weir wall. This results in more discharge than the normal discharge. In order the keep the atmospheric pressure in the space below the nappe holes are made through the channel walls which are connected through the pipes to the atmosphere as shown in figure. Such holes are called 'Ventilation' of a weir. Though there are many types of the nappes, yet the following are important from the subject point of view :
• Free nappe
• Depressed nappe
• Clinging nappe