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Weir

Weir is a engineering topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Weir rather than just read about it. In short: A weir , or low-head dam is a barrier across the width of a body of water that alters the flow characteristics of water and usually results in a change in the height of the water level. Weirs are used to control the flow of water in rivers, outlets of lakes, ponds, and reservoirs, industrial discharge, and drainage control structures.

Weir — main illustration
Weir — illustration

Key takeaways

  • Weir belongs to engineering; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Weir to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Weir from memory before moving on to harder problems.

Reference excerpt

A weir , or low-head dam is a barrier across the width of a body of water that alters the flow characteristics of water and usually results in a change in the height of the water level. Weirs are used to control the flow of water in rivers, outlets of lakes, ponds, and reservoirs, industrial discharge, and drainage control structures. There are many weir designs, but commonly water flows freely over the top of the weir crest before cascading down to a lower level. There is no single definition as to what constitutes a weir. Weirs pose a serious danger to boaters and have been involved in several fatal drownings. A low weir is called a bed sill. Weir can also refer to the skimmer found in most in-ground swimming pools, which controls the flow of water pulled into the filtering system.

Etymology The word likely originated from Middle English were, Old English wer, a derivative of the root of the verb werian, meaning "to defend, dam". The German cognate is Wehr, which means the same as English weir.

Function

Commonly, weirs are used to prevent flooding, measure water discharge, and help render rivers more navigable by boat. In some locations, the terms dam and weir are synonymous. A common distinction between dams and weirs is that water may flow through both (controlling flow and often turning turbines in the case of a dam), but it only flows over a weir. Thus many dams have an accompanying spillway, lower than the crest of the dam, to release water in excess of its capacity to retain or regulate its flow. Weirs can vary in size both horizontally and vertically, with the smallest being only a few centimetres in height whilst the largest may be many metres tall and hundreds of metres long. Some common weir purposes are outlined below.

Flow measurement When appropriate conditions are met, weirs allow hydrologists and engineers a simple method of measuring the volumetric flow rate in small to medium-sized streams/rivers or in industrial discharge locations. Since the geometry of the top of the weir is known and all water flows over the weir, the depth of water behind the weir can be converted to a rate of flow. However, this can only be achieved in locations where all water flows over the top of the weir crest, and none escapes elsewise. A generic discharge calculation can be summarised as

Q = CLHn where

Q is the volumetric flow rate of fluid (the discharge), C is the flow coefficient for the structure (on average a figure of 3.33), L is the width of the crest, H is the height of head of water over the crest, n varies with structure (e.g., 3⁄2 for horizontal weir, 5⁄2 for V-notch weir).

Flow over a V-notch weir The flow over a V-notch weir (in ft3/s) is given by the Kindsvater–Shen equation:

Q = 8 15 2 g C e tan ⁡ θ 2 ( h + k ) 5 2 , {\displaystyle Q={\frac {8}{15}}{\sqrt {2g}}\,C_{e}\tan {\frac {\theta }{2}}(h+k)^{\frac {5}{2}},}

where

Q is the volumetric flow rate of fluid in ft3/s, g is the acceleration due to gravity in ft/s2, Ce is the flow correction factor given in Shen 1981, p. B29, Fig. 12, θ is the angle of the V-notch weir, h is the height of the fluid above the bottom of the V-notch, k is the head correction factor given in Shen 1981, p. B20, Fig 4.

Control of invasive species As weirs are a physical barrier, they can impede the longitudinal movement of fish and other animals up and down a river. This can have a negative effect on fish species that migrate as part of their breeding cycle (e.g., salmonids), but it also can be useful as a method of preventing invasive species moving upstream. For example, weirs in the Great Lakes region have helped to prevent invasive sea lamprey from colonising farther upstream.

Watermills Mill ponds are created by a weir that impounds water that then flows over the structure. The energy created by the change in height of the water can then be used to power waterwheels and power sawmills, grinding wheels, and other equipment.

Flood control and altering river conditions

Weirs are commonly used to control the flow rates of rivers during periods of high discharge. Sluice gates (or in some cases the height of the weir crest) can be altered to increase or decrease the volume of water flowing downstream. Weirs for this purpose are commonly found upstream of towns and villages and can either be automated or manually operated. By slowing the rate at which water moves downstream even slightly, a disproportionate effect can be had on the likelihood of flooding. On larger rivers, a weir can also alter the flow characteristics of the waterway to the point that vessels are able to navigate areas previously inaccessible due to extreme currents or eddies. Many larger weirs will have construction features that allow boats and river users to "shoot the weir" and navigate by passing up or down stream without having to exit the river. Weirs constructed for this purpose are especially common on the River Thames, and most are situated near each of the river's 45 locks.

Issues

Ecology Because a weir impounds water behind it and alters the flow regime of the river, it can have an effect on the local ecology. Typically, the reduced river velocity upstream can lead to increased siltation (deposition of fine particles of silt and clay on the river bottom) that reduces the water oxygen content and smothers invertebrate habitat and fish spawning sites. The oxygen content typically returns to normal once water has passed over the weir crest (although it can be hyper-oxygenated), although increased river velocity can scour the river bed causing erosion and habitat loss.

… excerpt ends here. Continue reading the full article.

Illustrations

Weir: A weir on the Humber River near Cruikshank Park in Toronto, Ontario, Canada
A weir on the Humber River near Cruikshank Park in Toronto, Ontario, Canada
Weir: A weir on the Yass River, New South Wales, Australia, directly upstream from a shared pedestrian-bicycle river crossing
A weir on the Yass River, New South Wales, Australia, directly upstream from a shared pedestrian-bicycle river crossing
Weir: A weir on the Tikkurilankoski rapids in Vantaa, Finland
A weir on the Tikkurilankoski rapids in Vantaa, Finland
Weir: The broad crested weir at the Thorp grist mill in Thorp, Washington, US
The broad crested weir at the Thorp grist mill in Thorp, Washington, US
Weir: A sluice gate-based weir at Bray Lock on the River Thames, facing downstream. In the background is the smaller secondary "overspill" weir. Two small boats are also visible held against the overspill weir, having been washed against it during a particularly high discharge as a result of meltwater and subsequent rainfall following the 2018 winter cold wave.
A sluice gate-based weir at Bray Lock on the River Thames, facing downstream. In the background is the smaller secondary "overspill" weir. Two small boats are also visible held against the overspill weir, having been washed against it during a particularly high discharge as a result of meltwater and subsequent rainfall following the 2018 winter cold wave.

Worked examples

Example 1 — a first encounter with Weir

Start with the simplest possible case. Write down what Weir claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In engineering, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Weir before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Weir ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Weir

In research
Weir appears in engineering research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Weir in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Weir is common in secondary-school and first-year university syllabi. It links to neighbouring topics Dams by type, Hydraulic engineering, Rivers, so understanding it makes those chapters shorter.
In everyday life
Look for Weir outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Weir in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Weir means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Weir out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Weir in simple terms?

A weir , or low-head dam is a barrier across the width of a body of water that alters the flow characteristics of water and usually results in a change in the height of the water level. Weirs are used to control the flow of water in rivers, outlets of lakes, ponds, and reservoirs, industrial discha…

Why does Weir matter?

Because it connects several engineering ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Weir?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Weir.

Tags

  • Dams by type
  • Hydraulic engineering
  • Rivers
  • Weirs

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