Discharge through Channel 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%
✖Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Channel [A_cs]			+10% -10%
✖Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius of Channel [R_H]			+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%

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

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Discharge through Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope)
Q = C*A_cs*sqrt(R_H*S)
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.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
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.

STEP 1: Convert Input(s) to Base Unit

Chezy's Constant: 40 --> No Conversion Required
Cross-Sectional Area of Channel: 15 Square Meter --> 15 Square Meter No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = C*A_cs*sqrt(R_H*S) --> 40*15*sqrt(1.6*0.0004)

Evaluating ... ...

Q = 15.1789327688082

STEP 3: Convert Result to Output's Unit

15.1789327688082 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

15.1789327688082 ≈ 15.17893 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 Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Computation of Uniform Flow Calculators

Area of Channel Section given Discharge

LaTeX Go Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))

Discharge through Channel

LaTeX Go Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope)

Hydraulic Radius of Channel Section given Discharge

LaTeX Go Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope

Bed Slope of Channel Section given Discharge

LaTeX Go Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel

Discharge through Channel Formula

LaTeX Go

Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope)
Q = C*A_cs*sqrt(R_H*S)

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 Channel?

Discharge through Channel calculator uses Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope) to calculate the Discharge of Channel, The Discharge through Channel formula is defined as amount of liquid flowing in the channel measured any point in the flow direction. Discharge of Channel is denoted by Q symbol.

How to calculate Discharge through Channel using this online calculator? To use this online calculator for Discharge through Channel, enter Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs), Hydraulic Radius of Channel (R_H) & Bed Slope (S) and hit the calculate button. Here is how the Discharge through Channel calculation can be explained with given input values -> 3.440558 = 40*15*sqrt(1.6*0.0004).

FAQ

What is Discharge through Channel?

The Discharge through Channel formula is defined as amount of liquid flowing in the channel measured any point in the flow direction and is represented as Q = C*A_cs*sqrt(R_H*S) or Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope). The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula, Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit & Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

How to calculate Discharge through Channel?

The Discharge through Channel formula is defined as amount of liquid flowing in the channel measured any point in the flow direction is calculated using Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope). To calculate Discharge through Channel, you need Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs), Hydraulic Radius of Channel (R_H) & Bed Slope (S). With our tool, you need to enter the respective value for Chezy's Constant, Cross-Sectional Area of Channel, Hydraulic Radius of Channel & Bed Slope 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 Chezy's Constant, Cross-Sectional Area of Channel, Hydraulic Radius of Channel & Bed Slope. We can use 2 other way(s) to calculate the same, which is/are as follows -

Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)
Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)

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