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)

Credits

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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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Flow in Open Channels Calculators

Chezy's constant considering velocity
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
Chezy's constant considering Bazin formula
​ LaTeX ​ 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)))

Chezy's constant considering Kutter's formula Formula

​LaTeX ​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)))
C = (23+(0.00155/i)+(1/n))/(1+(23+(0.00155/i))*(n/sqrt(m)))

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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