Chezy's constant considering Manning's formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Chezy's Constant for Flow in Open Channel = (1/Manning’s Coefficient for Open Channel Flow)*(Hydraulic Mean Depth for Open Channel^(1/6))
C = (1/n)*(m^(1/6))
This formula uses 3 Variables
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.
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
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 = (1/n)*(m^(1/6)) --> (1/0.0145)*(0.423^(1/6))
Evaluating ... ...
C = 59.7524053098384
STEP 3: Convert Result to Output's Unit
59.7524053098384 --> No Conversion Required
FINAL ANSWER
59.7524053098384 59.75241 <-- Chezy's Constant for Flow in Open Channel
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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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 Manning's formula Formula

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

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 Bazin's constant?

The bazin's constant is dependent on the roughness of the channel surface. More the roughness of the surface, the higher is the value of Bazin's Constant.

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

Chezy's constant considering Manning's formula calculator uses Chezy's Constant for Flow in Open Channel = (1/Manning’s Coefficient for Open Channel Flow)*(Hydraulic Mean Depth for Open Channel^(1/6)) to calculate the Chezy's Constant for Flow in Open Channel, The Chezy's constant considering Manning's formula is known while considering manning's constant or coefficient, 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 Manning's formula using this online calculator? To use this online calculator for Chezy's constant considering Manning's formula, enter 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 Manning's formula calculation can be explained with given input values -> 59.75241 = (1/0.0145)*(0.423^(1/6)).

FAQ

What is Chezy's constant considering Manning's formula?
The Chezy's constant considering Manning's formula is known while considering manning's constant or coefficient, and the hydraulic mean depth and is represented as C = (1/n)*(m^(1/6)) or 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 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 Manning's formula?
The Chezy's constant considering Manning's formula is known while considering manning's constant or coefficient, and the hydraulic mean depth is calculated using Chezy's Constant for Flow in Open Channel = (1/Manning’s Coefficient for Open Channel Flow)*(Hydraulic Mean Depth for Open Channel^(1/6)). To calculate Chezy's constant considering Manning's formula, you need 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 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 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 = (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)))
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