Constant given Discharge through Small Rectangular Shaped Aperture Weir Calculator

✖Discharge for Small Rectangular Aperture is the rate of flow of a liquid.ⓘ Discharge for Small Rectangular Aperture [Q_srw]			+10% -10%
✖Height of Water above Crest of Weir is defined as the water surface height above crest.ⓘ Height of Water above Crest of Weir [S_w]			+10% -10%
✖Height of Small Rectangular Aperture is the distance between the lowest and highest points of Small Rectangular Aperture.ⓘ Height of Small Rectangular Aperture [h_ap]			+10% -10%

✖Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture.ⓘ Constant given Discharge through Small Rectangular Shaped Aperture Weir [K_Flow]

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Formula

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Constant given Discharge through Small Rectangular Shaped Aperture Weir

Formula

`"K"_{"Flow"} = "Q"_{"srw"}/("S"_{"w"}-("h"_{"ap"}/3))`

Example

`"1.066667"="1.6m³/s"/("2m"-("1.5m"/3))`

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Constant given Discharge through Small Rectangular Shaped Aperture Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant for Small Rectangular Aperture = Discharge for Small Rectangular Aperture/(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3))
K_Flow = Q_srw/(S_w-(h_ap/3))
This formula uses 4 Variables

Variables Used

Constant for Small Rectangular Aperture - Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture.
Discharge for Small Rectangular Aperture - (Measured in Cubic Meter per Second) - Discharge for Small Rectangular Aperture is the rate of flow of a liquid.
Height of Water above Crest of Weir - (Measured in Meter) - Height of Water above Crest of Weir is defined as the water surface height above crest.
Height of Small Rectangular Aperture - (Measured in Meter) - Height of Small Rectangular Aperture is the distance between the lowest and highest points of Small Rectangular Aperture.

STEP 1: Convert Input(s) to Base Unit

Discharge for Small Rectangular Aperture: 1.6 Cubic Meter per Second --> 1.6 Cubic Meter per Second No Conversion Required
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required
Height of Small Rectangular Aperture: 1.5 Meter --> 1.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_Flow = Q_srw/(S_w-(h_ap/3)) --> 1.6/(2-(1.5/3))

Evaluating ... ...

K_Flow = 1.06666666666667

STEP 3: Convert Result to Output's Unit

1.06666666666667 --> No Conversion Required

FINAL ANSWER

1.06666666666667 ≈ 1.066667 <-- Constant for Small Rectangular Aperture

(Calculation completed in 00.004 seconds)

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Height of Aperture given Constant for Rectangular Shaped Aperture Weir

Go Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity))

Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir

Go Coefficient of Discharge = Constant for Small Rectangular Aperture/(Width of Small Rectangular Aperture*(2*Acceleration due to Gravity*Height of Small Rectangular Aperture)^(1/2))

Width of Aperture given Constant for Rectangular Shaped Aperture Weir

Go Width of Small Rectangular Aperture = Constant for Small Rectangular Aperture/(Coefficient of Discharge*(2*Acceleration due to Gravity*Height of Small Rectangular Aperture)^(1/2))

Constant for Small Rectangular Shaped Aperture Weir

Go Constant for Small Rectangular Aperture = Coefficient of Discharge*Width of Small Rectangular Aperture*(2*Acceleration due to Gravity*Height of Small Rectangular Aperture)^(1/2)

Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir

Go Height of Small Rectangular Aperture = -((Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)-Height of Water above Crest of Weir)*3

Constant given Discharge through Small Rectangular Shaped Aperture Weir

Go Constant for Small Rectangular Aperture = Discharge for Small Rectangular Aperture/(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3))

Head given Discharge through Small Rectangular Shaped Aperture Weir

Go Height of Water above Crest of Weir = (Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)+(Height of Small Rectangular Aperture/3)

Discharge through Small Rectangular Shaped Aperture Weir

Go Discharge for Small Rectangular Aperture = Constant for Small Rectangular Aperture*(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3))

Constant given Discharge through Small Rectangular Shaped Aperture Weir Formula

Constant for Small Rectangular Aperture = Discharge for Small Rectangular Aperture/(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3))
K_Flow = Q_srw/(S_w-(h_ap/3))

What does discharge mean?

The Discharge Through the Small Rectangular Shaped Aperture weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

What is a rectangular weir?

A sharp crested, rectangular weir is simply a flat plate obstruction in an open channel flow path, with a straight, level opening to allow water flow over the weir, as shown in the pictures and diagrams in the rest of this article. It is used to meter flow of water over the weir (and through the open channel) by measuring the head of water over the weir crest.
Uses:
* Able to measure higher flows than v-notch weirs.
* Discharge equation more complex than most other weir types.
* Widely used to measure high flow rates in channels suited to weirs.

How to Calculate Constant given Discharge through Small Rectangular Shaped Aperture Weir?

Constant given Discharge through Small Rectangular Shaped Aperture Weir calculator uses Constant for Small Rectangular Aperture = Discharge for Small Rectangular Aperture/(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3)) to calculate the Constant for Small Rectangular Aperture, Constant given discharge through small rectangular shaped aperture weir is defined as product of coefficient of discharge and width of aperture. Constant for Small Rectangular Aperture is denoted by K_Flow symbol.

How to calculate Constant given Discharge through Small Rectangular Shaped Aperture Weir using this online calculator? To use this online calculator for Constant given Discharge through Small Rectangular Shaped Aperture Weir, enter Discharge for Small Rectangular Aperture (Q_srw), Height of Water above Crest of Weir (S_w) & Height of Small Rectangular Aperture (h_ap) and hit the calculate button. Here is how the Constant given Discharge through Small Rectangular Shaped Aperture Weir calculation can be explained with given input values -> 1.066667 = 1.6/(2-(1.5/3)).

FAQ

What is Constant given Discharge through Small Rectangular Shaped Aperture Weir?

Constant given discharge through small rectangular shaped aperture weir is defined as product of coefficient of discharge and width of aperture and is represented as K_Flow = Q_srw/(S_w-(h_ap/3)) or Constant for Small Rectangular Aperture = Discharge for Small Rectangular Aperture/(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3)). Discharge for Small Rectangular Aperture is the rate of flow of a liquid, Height of Water above Crest of Weir is defined as the water surface height above crest & Height of Small Rectangular Aperture is the distance between the lowest and highest points of Small Rectangular Aperture.

How to calculate Constant given Discharge through Small Rectangular Shaped Aperture Weir?

Constant given discharge through small rectangular shaped aperture weir is defined as product of coefficient of discharge and width of aperture is calculated using Constant for Small Rectangular Aperture = Discharge for Small Rectangular Aperture/(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3)). To calculate Constant given Discharge through Small Rectangular Shaped Aperture Weir, you need Discharge for Small Rectangular Aperture (Q_srw), Height of Water above Crest of Weir (S_w) & Height of Small Rectangular Aperture (h_ap). With our tool, you need to enter the respective value for Discharge for Small Rectangular Aperture, Height of Water above Crest of Weir & Height of Small Rectangular Aperture and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Constant for Small Rectangular Aperture?

In this formula, Constant for Small Rectangular Aperture uses Discharge for Small Rectangular Aperture, Height of Water above Crest of Weir & Height of Small Rectangular Aperture. We can use 1 other way(s) to calculate the same, which is/are as follows -

Constant for Small Rectangular Aperture = Coefficient of Discharge*Width of Small Rectangular Aperture*(2*Acceleration due to Gravity*Height of Small Rectangular Aperture)^(1/2)

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