Discharge through Small Rectangular Shaped Aperture Weir Solution

STEP 0: Pre-Calculation Summary
Formula Used
Discharge for Small Rectangular Aperture = Constant for Small Rectangular Aperture*(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3))
Qsrw = KFlow*(Sw-(hap/3))
This formula uses 4 Variables
Variables Used
Discharge for Small Rectangular Aperture - (Measured in Cubic Meter per Second) - Discharge for Small Rectangular Aperture is the rate of flow of a liquid.
Constant for Small Rectangular Aperture - Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture.
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
Constant for Small Rectangular Aperture: 7.81 --> 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
Qsrw = KFlow*(Sw-(hap/3)) --> 7.81*(2-(1.5/3))
Evaluating ... ...
Qsrw = 11.715
STEP 3: Convert Result to Output's Unit
11.715 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
11.715 Cubic Meter per Second <-- Discharge for Small Rectangular Aperture
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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National Institute of Technology Karnataka (NITK), Surathkal
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8 Proportional Weir or Sutro Weir Calculators

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))

Discharge through Small Rectangular Shaped Aperture Weir Formula

Discharge for Small Rectangular Aperture = Constant for Small Rectangular Aperture*(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3))
Qsrw = KFlow*(Sw-(hap/3))

What is meant by head?

In hydraulics head is a measurement of height of water flowing in the pipe or weir or notch while discharging of water.

How to Calculate Discharge through Small Rectangular Shaped Aperture Weir?

Discharge through Small Rectangular Shaped Aperture Weir calculator uses Discharge for Small Rectangular Aperture = Constant for Small Rectangular Aperture*(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3)) to calculate the Discharge for Small Rectangular Aperture, The Discharge through 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. Discharge for Small Rectangular Aperture is denoted by Qsrw symbol.

How to calculate Discharge through Small Rectangular Shaped Aperture Weir using this online calculator? To use this online calculator for Discharge through Small Rectangular Shaped Aperture Weir, enter Constant for Small Rectangular Aperture (KFlow), Height of Water above Crest of Weir (Sw) & Height of Small Rectangular Aperture (hap) and hit the calculate button. Here is how the Discharge through Small Rectangular Shaped Aperture Weir calculation can be explained with given input values -> 11.715 = 7.81*(2-(1.5/3)).

FAQ

What is Discharge through Small Rectangular Shaped Aperture Weir?
The Discharge through 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 and is represented as Qsrw = KFlow*(Sw-(hap/3)) or Discharge for Small Rectangular Aperture = Constant for Small Rectangular Aperture*(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3)). Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture, 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 Discharge through Small Rectangular Shaped Aperture Weir?
The Discharge through 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 is calculated using Discharge for Small Rectangular Aperture = Constant for Small Rectangular Aperture*(Height of Water above Crest of Weir-(Height of Small Rectangular Aperture/3)). To calculate Discharge through Small Rectangular Shaped Aperture Weir, you need Constant for Small Rectangular Aperture (KFlow), Height of Water above Crest of Weir (Sw) & Height of Small Rectangular Aperture (hap). With our tool, you need to enter the respective value for Constant 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.
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