Discharge Flow through Rectangular Channel Calculator

✖The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+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%

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge Flow through Rectangular Channel [Q]

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Discharge Flow through Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
Q = (C_d*A_i*A_f)*(sqrt(2*[g]*(h_i-h_o)/((A_i^2)-(A_f^2))))
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

Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Coefficient of Discharge - The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
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

Coefficient of Discharge: 0.66 --> 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

Q = (C_d*A_i*A_f)*(sqrt(2*[g]*(h_i-h_o)/((A_i^2)-(A_f^2)))) --> (0.66*7.1*1.8)*(sqrt(2*[g]*(20-15.1)/((7.1^2)-(1.8^2))))

Evaluating ... ...

Q = 12.0396878404026

STEP 3: Convert Result to Output's Unit

12.0396878404026 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

12.0396878404026 ≈ 12.03969 Cubic Meter per Second <-- Discharge of Channel

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Metering Flumes Calculators

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

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 Discharge Flow through Rectangular Channel?

Discharge Flow through Rectangular Channel calculator uses 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)))) to calculate the Discharge of Channel, The Discharge Flow through Rectangular Channel is defined as the amount of fluid in the flow in the channel at any time in the open channel flow. Discharge of Channel is denoted by Q symbol.

How to calculate Discharge Flow through Rectangular Channel using this online calculator? To use this online calculator for Discharge Flow through Rectangular Channel, enter Coefficient of Discharge (C_d), 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 Discharge Flow through Rectangular Channel calculation can be explained with given input values -> 12.16192 = (0.66*7.1*1.8)*(sqrt(2*[g]*(20-15.1)/((7.1^2)-(1.8^2)))).

FAQ

What is Discharge Flow through Rectangular Channel?

The Discharge Flow through Rectangular Channel is defined as the amount of fluid in the flow in the channel at any time in the open channel flow and is represented as Q = (C_d*A_i*A_f)*(sqrt(2*[g]*(h_i-h_o)/((A_i^2)-(A_f^2)))) or 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)))). The Coefficient of Discharge is ratio of actual discharge to theoretical discharge, 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 Discharge Flow through Rectangular Channel?

The Discharge Flow through Rectangular Channel is defined as the amount of fluid in the flow in the channel at any time in the open channel flow is calculated using 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)))). To calculate Discharge Flow through Rectangular Channel, you need Coefficient of Discharge (C_d), 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 Coefficient of Discharge, 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 Discharge of Channel?

In this formula, Discharge of Channel uses Coefficient of Discharge, 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 -

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))))
Discharge of Channel = Coefficient of Discharge*Width of Throat*(Depth of Flow^1.5)

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