Discharge through Channels Calculator

✖The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.ⓘ Chezy's Constant [C]			+10% -10%
✖Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area of Channel [A]			+10% -10%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%
✖Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter of Channel [p]			+10% -10%

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

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Formula

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Discharge through Channels

Formula

Q = C \cdot \sqrt{(A^{3}) \cdot \frac{S}{p}}

Example

25 m³/s = 40 \cdot \sqrt{({25 m²}^{3}) \cdot \frac{0.0004}{16 m}}

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Discharge through Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)
Q = C*sqrt((A^3)*S/p)
This formula uses 1 Functions, 5 Variables

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.
Chezy's Constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.
Wetted Surface Area of Channel - (Measured in Square Meter) - Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Wetted Perimeter of Channel - (Measured in Meter) - Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

STEP 1: Convert Input(s) to Base Unit

Chezy's Constant: 40 --> No Conversion Required
Wetted Surface Area of Channel: 25 Square Meter --> 25 Square Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required
Wetted Perimeter of Channel: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = C*sqrt((A^3)*S/p) --> 40*sqrt((25^3)*0.0004/16)

Evaluating ... ...

Q = 25

STEP 3: Convert Result to Output's Unit

25 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

25 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

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< Circular Section Calculators

Chezy Constant given Discharge through Channels

Go Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel))

Discharge through Channels

Go Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)

Wetted Area given Discharge through Channels

Go Wetted Surface Area of Channel = (((Discharge of Channel/Chezy's Constant)^2)*Wetted Perimeter of Channel/Bed Slope)^(1/3)

Wetted Perimeter given Discharge through Channels

Go Wetted Perimeter of Channel = ((Wetted Surface Area of Channel^3)*Bed Slope)/((Discharge of Channel/Chezy's Constant)^2)

Discharge through Channels Formula

Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)
Q = C*sqrt((A^3)*S/p)

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 through Channels?

Discharge through Channels calculator uses Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel) to calculate the Discharge of Channel, The Discharge through Channels formula is defined as amount of water flowing in the stream at any point. Discharge of Channel is denoted by Q symbol.

How to calculate Discharge through Channels using this online calculator? To use this online calculator for Discharge through Channels, enter Chezy's Constant (C), Wetted Surface Area of Channel (A), Bed Slope (S) & Wetted Perimeter of Channel (p) and hit the calculate button. Here is how the Discharge through Channels calculation can be explained with given input values -> 25 = 40*sqrt((25^3)*0.0004/16).

FAQ

What is Discharge through Channels?

The Discharge through Channels formula is defined as amount of water flowing in the stream at any point and is represented as Q = C*sqrt((A^3)*S/p) or Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel). The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula, Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water, Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow & Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

How to calculate Discharge through Channels?

The Discharge through Channels formula is defined as amount of water flowing in the stream at any point is calculated using Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel). To calculate Discharge through Channels, you need Chezy's Constant (C), Wetted Surface Area of Channel (A), Bed Slope (S) & Wetted Perimeter of Channel (p). With our tool, you need to enter the respective value for Chezy's Constant, Wetted Surface Area of Channel, Bed Slope & Wetted Perimeter of Channel 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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