Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Small Rectangular Aperture = -((Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)-Height of Water above Crest of Weir)*3
hap = -((Qsrw/KFlow)-Sw)*3
This formula uses 4 Variables
Variables Used
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.
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.
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
Constant for Small Rectangular Aperture: 7.81 --> No Conversion Required
Height of Water above Crest of Weir: 2 Meter --> 2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hap = -((Qsrw/KFlow)-Sw)*3 --> -((1.6/7.81)-2)*3
Evaluating ... ...
hap = 5.3854033290653
STEP 3: Convert Result to Output's Unit
5.3854033290653 Meter --> No Conversion Required
FINAL ANSWER
5.3854033290653 5.385403 Meter <-- Height of Small Rectangular Aperture
(Calculation completed in 00.004 seconds)

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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))

Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir Formula

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

Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir calculator uses Height of Small Rectangular Aperture = -((Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)-Height of Water above Crest of Weir)*3 to calculate the Height of Small Rectangular Aperture, Height of aperture given discharge through small rectangular shaped aperture weir is represented as measurement of height of small rectangular aperture. Height of Small Rectangular Aperture is denoted by hap symbol.

How to calculate Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir using this online calculator? To use this online calculator for Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir, enter Discharge for Small Rectangular Aperture (Qsrw), Constant for Small Rectangular Aperture (KFlow) & Height of Water above Crest of Weir (Sw) and hit the calculate button. Here is how the Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir calculation can be explained with given input values -> 5.385403 = -((1.6/7.81)-2)*3.

FAQ

What is Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir?
Height of aperture given discharge through small rectangular shaped aperture weir is represented as measurement of height of small rectangular aperture and is represented as hap = -((Qsrw/KFlow)-Sw)*3 or Height of Small Rectangular Aperture = -((Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)-Height of Water above Crest of Weir)*3. Discharge for Small Rectangular Aperture is the rate of flow of a liquid, 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.
How to calculate Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir?
Height of aperture given discharge through small rectangular shaped aperture weir is represented as measurement of height of small rectangular aperture is calculated using Height of Small Rectangular Aperture = -((Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)-Height of Water above Crest of Weir)*3. To calculate Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir, you need Discharge for Small Rectangular Aperture (Qsrw), Constant for Small Rectangular Aperture (KFlow) & Height of Water above Crest of Weir (Sw). With our tool, you need to enter the respective value for Discharge for Small Rectangular Aperture, Constant for Small Rectangular Aperture & Height of Water above Crest of Weir 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 Height of Small Rectangular Aperture?
In this formula, Height of Small Rectangular Aperture uses Discharge for Small Rectangular Aperture, Constant for Small Rectangular Aperture & Height of Water above Crest of Weir. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))
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