Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).ⓘ Cross Section Area 1 [A_i]			+10% -10%
✖Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.ⓘ Cross Section Area 2 [A_f]			+10% -10%
✖The Loss of Head at Entrance of a pipe is the loss that occurs when a liquid flows from a large tank into a pipe.ⓘ Loss of Head at Entrance [h_i]			+10% -10%
✖The Loss of Head at Exit of a pipe is due to the velocity of liquid dissipated in the form of a free jet.ⓘ Loss of Head at Exit [h_o]			+10% -10%

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel [C_d]

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Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)))))
C_d = (Q/(A_i*A_f)*(sqrt(((A_i^2)-(A_f^2))/(2*[g]*(h_i-h_o)))))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Cross Section Area 1 - (Measured in Square Meter) - Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).
Cross Section Area 2 - (Measured in Square Meter) - Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.
Loss of Head at Entrance - (Measured in Meter) - The Loss of Head at Entrance of a pipe is the loss that occurs when a liquid flows from a large tank into a pipe.
Loss of Head at Exit - (Measured in Meter) - The Loss of Head at Exit of a pipe is due to the velocity of liquid dissipated in the form of a free jet.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Cross Section Area 1: 7.1 Square Meter --> 7.1 Square Meter No Conversion Required
Cross Section Area 2: 1.8 Square Meter --> 1.8 Square Meter No Conversion Required
Loss of Head at Entrance: 20 Meter --> 20 Meter No Conversion Required
Loss of Head at Exit: 15.1 Meter --> 15.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_d = (Q/(A_i*A_f)*(sqrt(((A_i^2)-(A_f^2))/(2*[g]*(h_i-h_o))))) --> (14/(7.1*1.8)*(sqrt(((7.1^2)-(1.8^2))/(2*[g]*(20-15.1)))))

Evaluating ... ...

C_d = 0.767461758351623

STEP 3: Convert Result to Output's Unit

0.767461758351623 --> No Conversion Required

FINAL ANSWER

0.767461758351623 ≈ 0.767462 <-- Coefficient of Discharge

(Calculation completed in 00.020 seconds)

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Coefficient of Discharge through Flume given Discharge Flow through Channel

LaTeX Go Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)))))

Discharge Flow through Channel

LaTeX Go Discharge of Channel = (Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2)*(sqrt(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)/((Cross Section Area 1^2)-(Cross Section Area 2^2))))

Head at Entrance of Section given Discharge Flow through Channel

LaTeX Go Loss of Head at Exit = Loss of Head at Entrance-(Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2

Head at Entrance given Discharge through Channel

LaTeX Go Loss of Head at Entrance = (Discharge of Channel/(Coefficient of Discharge*Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]/(Cross Section Area 1^2-Cross Section Area 2^2)))))^2+Loss of Head at Exit

Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel Formula

LaTeX Go

What is Rate of Flow?

In physics and engineering, in particular fluid dynamics, the volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

How to Calculate Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel?

Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel calculator uses Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit))))) to calculate the Coefficient of Discharge, The Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel is defined as the actual flow rate through a rectangular channel by the theoretical flow rate. Coefficient of Discharge is denoted by C_d symbol.

How to calculate Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel using this online calculator? To use this online calculator for Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel, enter Discharge of Channel (Q), Cross Section Area 1 (A_i), Cross Section Area 2 (A_f), Loss of Head at Entrance (h_i) & Loss of Head at Exit (h_o) and hit the calculate button. Here is how the Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel calculation can be explained with given input values -> 0.759748 = (14/(7.1*1.8)*(sqrt(((7.1^2)-(1.8^2))/(2*[g]*(20-15.1))))).

FAQ

What is Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel?

The Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel is defined as the actual flow rate through a rectangular channel by the theoretical flow rate and is represented as C_d = (Q/(A_i*A_f)*(sqrt(((A_i^2)-(A_f^2))/(2*[g]*(h_i-h_o))))) or Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit))))). Discharge of Channel is the rate of flow of a liquid, Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe), Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure, The Loss of Head at Entrance of a pipe is the loss that occurs when a liquid flows from a large tank into a pipe & The Loss of Head at Exit of a pipe is due to the velocity of liquid dissipated in the form of a free jet.

How to calculate Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel?

The Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel is defined as the actual flow rate through a rectangular channel by the theoretical flow rate is calculated using Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit))))). To calculate Coefficient of Discharge through Flume given Discharge Flow through Rectangular Channel, you need Discharge of Channel (Q), Cross Section Area 1 (A_i), Cross Section Area 2 (A_f), Loss of Head at Entrance (h_i) & Loss of Head at Exit (h_o). With our tool, you need to enter the respective value for Discharge of Channel, Cross Section Area 1, Cross Section Area 2, Loss of Head at Entrance & Loss of Head at Exit 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 Coefficient of Discharge?

In this formula, Coefficient of Discharge uses Discharge of Channel, Cross Section Area 1, Cross Section Area 2, Loss of Head at Entrance & Loss of Head at Exit. We can use 2 other way(s) to calculate the same, which is/are as follows -

Coefficient of Discharge = (Discharge of Channel/(Cross Section Area 1*Cross Section Area 2)*(sqrt(((Cross Section Area 1^2)-(Cross Section Area 2^2))/(2*[g]*(Loss of Head at Entrance-Loss of Head at Exit)))))
Coefficient of Discharge = Discharge of Channel/(Width of Throat*(Depth of Flow^1.5))

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