Chezy's constant considering velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
C = v/(sqrt(m*i))
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.
Flow Velocity in Open Channel - (Measured in Meter per Second) - Flow velocity in open channel is the velocity of flow of the liquid through the open 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.
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.
STEP 1: Convert Input(s) to Base Unit
Flow Velocity in Open Channel: 2.76 Meter per Second --> 2.76 Meter per Second No Conversion Required
Hydraulic Mean Depth for Open Channel: 0.423 Meter --> 0.423 Meter No Conversion Required
Slope of Bed of Open Channel: 0.005 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = v/(sqrt(m*i)) --> 2.76/(sqrt(0.423*0.005))
Evaluating ... ...
C = 60.0141827209167
STEP 3: Convert Result to Output's Unit
60.0141827209167 --> No Conversion Required
FINAL ANSWER
60.0141827209167 60.01418 <-- Chezy's Constant for Flow in Open Channel
(Calculation completed in 00.020 seconds)

Credits

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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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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 velocity Formula

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))
C = v/(sqrt(m*i))

What is slope of bed?

The Slope of the bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering, stream restoration.

What is Chezy's formula?

The Chezy's constant 'C' is a dimensionless quantity that can be calculated by three formulas. This formula is useful for extending river-flow rating curves.

How to Calculate Chezy's constant considering velocity?

Chezy's constant considering velocity calculator uses 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)) to calculate the Chezy's Constant for Flow in Open Channel, The Chezy's constant considering velocity is known while considering the ratio of velocity to the square root of hydraulic mean depth, and the slope of bed. Chezy's Constant for Flow in Open Channel is denoted by C symbol.

How to calculate Chezy's constant considering velocity using this online calculator? To use this online calculator for Chezy's constant considering velocity, enter Flow Velocity in Open Channel (v), Hydraulic Mean Depth for Open Channel (m) & Slope of Bed of Open Channel (i) and hit the calculate button. Here is how the Chezy's constant considering velocity calculation can be explained with given input values -> 60.01418 = 2.76/(sqrt(0.423*0.005)).

FAQ

What is Chezy's constant considering velocity?
The Chezy's constant considering velocity is known while considering the ratio of velocity to the square root of hydraulic mean depth, and the slope of bed and is represented as C = v/(sqrt(m*i)) or 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)). Flow velocity in open channel is the velocity of flow of the liquid through the open channel, Hydraulic mean depth for open channel is defined as the area of the flow section divided by the top water surface width & 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.
How to calculate Chezy's constant considering velocity?
The Chezy's constant considering velocity is known while considering the ratio of velocity to the square root of hydraulic mean depth, and the slope of bed is calculated using 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)). To calculate Chezy's constant considering velocity, you need Flow Velocity in Open Channel (v), Hydraulic Mean Depth for Open Channel (m) & Slope of Bed of Open Channel (i). With our tool, you need to enter the respective value for Flow Velocity in Open Channel, Hydraulic Mean Depth for Open Channel & Slope of Bed of 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 Flow Velocity in Open Channel, Hydraulic Mean Depth for Open Channel & Slope of Bed of 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 = 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))
  • 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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