Chezy's constant considering Kutter's formula Calculator

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Properties of Surfaces and Solids

Draft Tube

Orifices and Mouthpieces

Viscous Flow

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Flow in Open Channels

Closed Channel

✖Slope of bed of open channel is the slope of the bottom surface or the bed of a open channel containing fluid that is undergoing steady, uniform flow.ⓘ Slope of Bed of Open Channel [i]			+10% -10%
✖Manning’s coefficient for open channel flow represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Coefficient for Open Channel Flow [n]			+10% -10%
✖Hydraulic mean depth for open channel is defined as the area of the flow section divided by the top water surface width.ⓘ Hydraulic Mean Depth for Open Channel [m]			+10% -10%

✖Chezy's constant for flow in open channel is a factor used in the equation that estimates mean flow velocity in open channel conduits.ⓘ Chezy's constant considering Kutter's formula [C]

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Formula

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Chezy's constant considering Kutter's formula

Formula

`"C" = (23+(0.00155/"i")+(1/"n"))/(1+(23+(0.00155/"i"))*("n"/sqrt("m")))`

Example

`"60.72016"=(23+(0.00155/"0.005")+(1/"0.0145"))/(1+(23+(0.00155/"0.005"))*("0.0145"/sqrt("0.423m")))`

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Chezy's constant considering Kutter's formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chezy's Constant for Flow in Open Channel = (23+(0.00155/Slope of Bed of Open Channel)+(1/Manning’s Coefficient for Open Channel Flow))/(1+(23+(0.00155/Slope of Bed of Open Channel))*(Manning’s Coefficient for Open Channel Flow/sqrt(Hydraulic Mean Depth for Open Channel)))
C = (23+(0.00155/i)+(1/n))/(1+(23+(0.00155/i))*(n/sqrt(m)))
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

Chezy's Constant for Flow in Open Channel - Chezy's constant for flow in open channel is a factor used in the equation that estimates mean flow velocity in open channel conduits.
Slope of Bed of Open Channel - Slope of bed of open channel is the slope of the bottom surface or the bed of a open channel containing fluid that is undergoing steady, uniform flow.
Manning’s Coefficient for Open Channel Flow - Manning’s coefficient for open channel flow represents the roughness or friction applied to the flow by the channel.
Hydraulic Mean Depth for Open Channel - (Measured in Meter) - Hydraulic mean depth for open channel is defined as the area of the flow section divided by the top water surface width.

STEP 1: Convert Input(s) to Base Unit

Slope of Bed of Open Channel: 0.005 --> No Conversion Required
Manning’s Coefficient for Open Channel Flow: 0.0145 --> No Conversion Required
Hydraulic Mean Depth for Open Channel: 0.423 Meter --> 0.423 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (23+(0.00155/i)+(1/n))/(1+(23+(0.00155/i))*(n/sqrt(m))) --> (23+(0.00155/0.005)+(1/0.0145))/(1+(23+(0.00155/0.005))*(0.0145/sqrt(0.423)))

Evaluating ... ...

C = 60.7201648715592

STEP 3: Convert Result to Output's Unit

60.7201648715592 --> No Conversion Required

FINAL ANSWER

60.7201648715592 ≈ 60.72016 <-- Chezy's Constant for Flow in Open Channel

(Calculation completed in 00.004 seconds)

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< 19 Flow in Open Channels Calculators

Chezy's constant considering Kutter's formula

Go Chezy's Constant for Flow in Open Channel = (23+(0.00155/Slope of Bed of Open Channel)+(1/Manning’s Coefficient for Open Channel Flow))/(1+(23+(0.00155/Slope of Bed of Open Channel))*(Manning’s Coefficient for Open Channel Flow/sqrt(Hydraulic Mean Depth for Open Channel)))

Area of Flow for Circular Channel

Go Area of Flow of Circular Channel = (Radius of Circular Open Channel^2)*(Half Angle by Water Surface in Circular Channel-((sin(2*Half Angle by Water Surface in Circular Channel))/2))

Chezy's constant considering velocity

Go Chezy's Constant for Flow in Open Channel = Flow Velocity in Open Channel/(sqrt(Hydraulic Mean Depth for Open Channel*Slope of Bed of Open Channel))

Velocity of Chezy's formula

Go Flow Velocity in Open Channel = Chezy's Constant for Flow in Open Channel*sqrt(Hydraulic Mean Depth for Open Channel*Slope of Bed of Open Channel)

Hydraulic mean depth using Chezy's formula

Go Hydraulic Mean Depth for Open Channel = (1/Slope of Bed of Open Channel)*(Flow Velocity in Open Channel/Chezy's Constant for Flow in Open Channel)^2

Bazin's constant

Go Bazin's Constant for Flow in Open Channel = (sqrt(Hydraulic Mean Depth for Open Channel))*((157.6/Chezy's Constant for Flow in Open Channel)-1.81)

Chezy's constant considering Bazin formula

Go Chezy's Constant for Flow in Open Channel = 157.6/(1.81+(Bazin's Constant for Flow in Open Channel/sqrt(Hydraulic Mean Depth for Open Channel)))

Hydraulic mean depth considering Bazin formula

Go Hydraulic Mean Depth for Open Channel = (Bazin's Constant for Flow in Open Channel/(((157.6/Chezy's Constant for Flow in Open Channel)-1.81)))^2

Chezy's constant considering Manning's formula

Go Chezy's Constant for Flow in Open Channel = (1/Manning’s Coefficient for Open Channel Flow)*(Hydraulic Mean Depth for Open Channel^(1/6))

Manning's coefficient or constant

Go Manning’s Coefficient for Open Channel Flow = (1/Chezy's Constant for Flow in Open Channel)*Hydraulic Mean Depth for Open Channel^(1/6)

Hydraulic mean depth considering Manning's formula

Go Hydraulic Mean Depth for Open Channel = (Chezy's Constant for Flow in Open Channel*Manning’s Coefficient for Open Channel Flow)^6

Discharge per unit width considering flow in open channels

Go Discharge Per Unit Width in Open Channel = sqrt((Critical Depth for Flow in Open Channel^3)*[g])

Radius of Circular Channel using Wetted Perimeter

Go Radius of Circular Open Channel = Wetted Perimeter of Circular Open Channel/(2*Half Angle by Water Surface in Circular Channel)

Critical velocity considering flow in open channels

Go Critical Velocity for Flow in Open Channel = sqrt([g]*Critical Depth for Flow in Open Channel)

Wetted Perimeter for Circular Channel

Go Wetted Perimeter of Circular Open Channel = 2*Radius of Circular Open Channel*Half Angle by Water Surface in Circular Channel

Critical depth considering flow in open channels

Go Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3)

Critical Depth using Critical Velocity

Go Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]

Critical depth considering minimum specific energy

Go Critical Depth for Flow in Open Channel = (2/3)*Minimum Specific Energy for Open Channel Flow

Minimum Specific Energy using Critical Depth

Go Minimum Specific Energy for Open Channel Flow = (3/2)*Critical Depth for Flow in Open Channel

Chezy's constant considering Kutter's formula Formula

What is a Manning's constant?

Manning's n value is a unitless coefficient that represents the roughness or friction factor of the conduit. Rougher conduits with higher friction have a higher value, and smoother conduits with lower friction have a lower value.

What is a Chezy's constant?

Chezy's constant 'C' is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula. This formula is useful for extending river-flow rating curves.

How to Calculate Chezy's constant considering Kutter's formula?

Chezy's constant considering Kutter's formula calculator uses Chezy's Constant for Flow in Open Channel = (23+(0.00155/Slope of Bed of Open Channel)+(1/Manning’s Coefficient for Open Channel Flow))/(1+(23+(0.00155/Slope of Bed of Open Channel))*(Manning’s Coefficient for Open Channel Flow/sqrt(Hydraulic Mean Depth for Open Channel))) to calculate the Chezy's Constant for Flow in Open Channel, The Chezy's constant considering Kutter's formula is known while considering manning's constant or coefficient, the slope of bed, and the hydraulic mean depth. Chezy's Constant for Flow in Open Channel is denoted by C symbol.

How to calculate Chezy's constant considering Kutter's formula using this online calculator? To use this online calculator for Chezy's constant considering Kutter's formula, enter Slope of Bed of Open Channel (i), Manning’s Coefficient for Open Channel Flow (n) & Hydraulic Mean Depth for Open Channel (m) and hit the calculate button. Here is how the Chezy's constant considering Kutter's formula calculation can be explained with given input values -> 60.72016 = (23+(0.00155/0.005)+(1/0.0145))/(1+(23+(0.00155/0.005))*(0.0145/sqrt(0.423))).

FAQ

What is Chezy's constant considering Kutter's formula?

The Chezy's constant considering Kutter's formula is known while considering manning's constant or coefficient, the slope of bed, and the hydraulic mean depth and is represented as C = (23+(0.00155/i)+(1/n))/(1+(23+(0.00155/i))*(n/sqrt(m))) or Chezy's Constant for Flow in Open Channel = (23+(0.00155/Slope of Bed of Open Channel)+(1/Manning’s Coefficient for Open Channel Flow))/(1+(23+(0.00155/Slope of Bed of Open Channel))*(Manning’s Coefficient for Open Channel Flow/sqrt(Hydraulic Mean Depth for Open Channel))). Slope of bed of open channel is the slope of the bottom surface or the bed of a open channel containing fluid that is undergoing steady, uniform flow, Manning’s coefficient for open channel flow represents the roughness or friction applied to the flow by the channel & Hydraulic mean depth for open channel is defined as the area of the flow section divided by the top water surface width.

How to calculate Chezy's constant considering Kutter's formula?

The Chezy's constant considering Kutter's formula is known while considering manning's constant or coefficient, the slope of bed, and the hydraulic mean depth is calculated using Chezy's Constant for Flow in Open Channel = (23+(0.00155/Slope of Bed of Open Channel)+(1/Manning’s Coefficient for Open Channel Flow))/(1+(23+(0.00155/Slope of Bed of Open Channel))*(Manning’s Coefficient for Open Channel Flow/sqrt(Hydraulic Mean Depth for Open Channel))). To calculate Chezy's constant considering Kutter's formula, you need Slope of Bed of Open Channel (i), Manning’s Coefficient for Open Channel Flow (n) & Hydraulic Mean Depth for Open Channel (m). With our tool, you need to enter the respective value for Slope of Bed of Open Channel, Manning’s Coefficient for Open Channel Flow & Hydraulic Mean Depth for Open Channel 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 Chezy's Constant for Flow in Open Channel?

In this formula, Chezy's Constant for Flow in Open Channel uses Slope of Bed of Open Channel, Manning’s Coefficient for Open Channel Flow & Hydraulic Mean Depth for Open Channel. We can use 3 other way(s) to calculate the same, which is/are as follows -

Chezy's Constant for Flow in Open Channel = Flow Velocity in Open Channel/(sqrt(Hydraulic Mean Depth for Open Channel*Slope of Bed of Open Channel))
Chezy's Constant for Flow in Open Channel = 157.6/(1.81+(Bazin's Constant for Flow in Open Channel/sqrt(Hydraulic Mean Depth for Open Channel)))
Chezy's Constant for Flow in Open Channel = (1/Manning’s Coefficient for Open Channel Flow)*(Hydraulic Mean Depth for Open Channel^(1/6))

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