Average Velocity in Channel given Chezy Constant 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%
✖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%

✖Average Velocity of Flow is defined as the mean of all different velocities.ⓘ Average Velocity in Channel given Chezy Constant [V_avg]

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Formula

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Average Velocity in Channel given Chezy Constant

Formula

`"V"_{"avg"} = "C"*sqrt("R"_{"H"}*"S")`

Example

`"1.011929m/s"="40"*sqrt("1.6m"*"0.0004")`

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Average Velocity in Channel given Chezy Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity of Flow = Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)
V_avg = C*sqrt(R_H*S)
This formula uses 1 Functions, 4 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

Average Velocity of Flow - (Measured in Meter per Second) - Average Velocity of Flow is defined as the mean of all different velocities.
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.
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
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

V_avg = C*sqrt(R_H*S) --> 40*sqrt(1.6*0.0004)

Evaluating ... ...

V_avg = 1.01192885125388

STEP 3: Convert Result to Output's Unit

1.01192885125388 Meter per Second --> No Conversion Required

FINAL ANSWER

1.01192885125388 ≈ 1.011929 Meter per Second <-- Average Velocity of Flow

(Calculation completed in 00.008 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 7 Chezy Constant in Uniform Flow Calculators

Chezy Constant through Ganguillet-Kutter Formula

Go Chezy's Constant = (23+(0.00155/Bed Slope)+(1/Manning’s Roughness Coefficient))/(1+(23+(0.00155/Bed Slope))*(Manning’s Roughness Coefficient/sqrt(Hydraulic Depth)))

Chezy Constant given Average Velocity in Channel

Go Chezy's Constant = Average Velocity of Flow/(sqrt(Hydraulic Radius of Channel*Bed Slope))

Average Velocity in Channel given Chezy Constant

Go Average Velocity of Flow = Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant

Go Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel

Hydraulic Radius given Average Velocity in Channel with Chezy Constant

Go Hydraulic Radius of Channel = ((Average Velocity of Flow/Chezy's Constant)^2)/Bed Slope

Chezy Constant using Basin Formula

Go Chezy's Constant = 157.6/(1.81+(Bazin's Constant/sqrt(Hydraulic Depth)))

Chezy Constant using Manning's Formula

Go Chezy's Constant = (1/Manning’s Roughness Coefficient)*Hydraulic Depth^(1/6)

Average Velocity in Channel given Chezy Constant Formula

Average Velocity of Flow = Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)
V_avg = C*sqrt(R_H*S)

What is Average Velocity?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity.

How to Calculate Average Velocity in Channel given Chezy Constant?

Average Velocity in Channel given Chezy Constant calculator uses Average Velocity of Flow = Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope) to calculate the Average Velocity of Flow, The Average Velocity in Channel given Chezy Constant is defined as the velocity at any point of section in channel in open channel. Average Velocity of Flow is denoted by V_avg symbol.

How to calculate Average Velocity in Channel given Chezy Constant using this online calculator? To use this online calculator for Average Velocity in Channel given Chezy Constant, enter Chezy's Constant (C), Hydraulic Radius of Channel (R_H) & Bed Slope (S) and hit the calculate button. Here is how the Average Velocity in Channel given Chezy Constant calculation can be explained with given input values -> 1.011929 = 40*sqrt(1.6*0.0004).

FAQ

What is Average Velocity in Channel given Chezy Constant?

The Average Velocity in Channel given Chezy Constant is defined as the velocity at any point of section in channel in open channel and is represented as V_avg = C*sqrt(R_H*S) or Average Velocity of Flow = Chezy's Constant*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, 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 Average Velocity in Channel given Chezy Constant?

The Average Velocity in Channel given Chezy Constant is defined as the velocity at any point of section in channel in open channel is calculated using Average Velocity of Flow = Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope). To calculate Average Velocity in Channel given Chezy Constant, you need Chezy's Constant (C), Hydraulic Radius of Channel (R_H) & Bed Slope (S). With our tool, you need to enter the respective value for Chezy's Constant, 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.

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