Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir Calculator

✖Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture.ⓘ Constant for Small Rectangular Aperture [K_Flow]			+10% -10%
✖Width of Small Rectangular Aperture is the measurement or extent of something from side to side.ⓘ Width of Small Rectangular Aperture [w_ap]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+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%

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir [C_d]

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Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
C_d = K_Flow/(w_ap*(2*g*h_ap)^(1/2))
This formula uses 5 Variables

Variables Used

Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Constant for Small Rectangular Aperture - Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture.
Width of Small Rectangular Aperture - (Measured in Meter) - Width of Small Rectangular Aperture is the measurement or extent of something from side to side.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
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
Width of Small Rectangular Aperture: 3.2 Meter --> 3.2 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second 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

C_d = K_Flow/(w_ap*(2*g*h_ap)^(1/2)) --> 7.81/(3.2*(2*9.8*1.5)^(1/2))

Evaluating ... ...

C_d = 0.450119046635118

STEP 3: Convert Result to Output's Unit

0.450119046635118 --> No Conversion Required

FINAL ANSWER

0.450119046635118 ≈ 0.450119 <-- Coefficient of Discharge

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow Over Notches and Weirs » Proportional Weir or Sutro Weir » Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir

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< Proportional Weir or Sutro Weir Calculators

Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir

LaTeX 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

LaTeX 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

LaTeX 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

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

Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir Formula

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What does Constant mean?

The Constant (k) for Rectangular Shaped Aperture weir can be represented as a product of coefficient of discharge and the height of the aperture.

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 Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir?

Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir calculator uses 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)) to calculate the Coefficient of Discharge, Coefficient of discharge given constant for rectangular shaped aperture weir is stated as ratio between actual flow discharge and theoretical flow discharge. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir using this online calculator? To use this online calculator for Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir, enter Constant for Small Rectangular Aperture (K_Flow), Width of Small Rectangular Aperture (w_ap), Acceleration due to Gravity (g) & Height of Small Rectangular Aperture (h_ap) and hit the calculate button. Here is how the Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir calculation can be explained with given input values -> 0.450119 = 7.81/(3.2*(2*9.8*1.5)^(1/2)).

FAQ

What is Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir?

Coefficient of discharge given constant for rectangular shaped aperture weir is stated as ratio between actual flow discharge and theoretical flow discharge and is represented as C_d = K_Flow/(w_ap*(2*g*h_ap)^(1/2)) or 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)). Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture, Width of Small Rectangular Aperture is the measurement or extent of something from side to side, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Height of Small Rectangular Aperture is the distance between the lowest and highest points of Small Rectangular Aperture.

How to calculate Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir?

Coefficient of discharge given constant for rectangular shaped aperture weir is stated as ratio between actual flow discharge and theoretical flow discharge is calculated using 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)). To calculate Coefficient of Discharge given Constant for Rectangular Shaped Aperture Weir, you need Constant for Small Rectangular Aperture (K_Flow), Width of Small Rectangular Aperture (w_ap), Acceleration due to Gravity (g) & Height of Small Rectangular Aperture (h_ap). With our tool, you need to enter the respective value for Constant for Small Rectangular Aperture, Width of Small Rectangular Aperture, Acceleration due to Gravity & 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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