Chezy Formula for Mean Velocity given Energy Slope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel)
vm,R = sqrt(Sf*(CVF^2)*RH)
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
Mean Velocity for Varied Flow - (Measured in Meter per Second) - Mean velocity for Varied Flow is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
Chézy’s Coefficients for Varied Flow - Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.
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.
STEP 1: Convert Input(s) to Base Unit
Energy Slope: 2.001 --> No Conversion Required
Chézy’s Coefficients for Varied Flow: 69.2 --> No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vm,R = sqrt(Sf*(CVF^2)*RH) --> sqrt(2.001*(69.2^2)*1.6)
Evaluating ... ...
vm,R = 123.819666547766
STEP 3: Convert Result to Output's Unit
123.819666547766 Meter per Second --> No Conversion Required
FINAL ANSWER
123.819666547766 123.8197 Meter per Second <-- Mean Velocity for Varied Flow
(Calculation completed in 00.004 seconds)

Credits

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12 Integration of the Varied Flow Equation Calculators

Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel
Go Chézy’s Coefficients for Varied Flow = sqrt(((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Bed Slope of Channel)
Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel
Go Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3)
Chezy Formula for Normal Depth of Wide Rectangular Channel
Go Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3)
Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel
Go Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2)
Chezy Formula for Mean Velocity given Energy Slope
Go Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel)
Manning's Formula for Roughness Coefficient given Energy Slope
Go Manning’s Roughness Coefficient = (Energy Slope/(((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)
Manning's Formula for Mean Velocity given Energy Slope
Go Mean Velocity for Varied Flow = (Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)
Chezy's Constant using Chezy Formula given Energy Slope
Go Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2)
Manning's Formula for Hydraulic Radius given Energy Slope
Go Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4)
Manning's Formula for Energy Slope
Go Energy Slope = ((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))
Chezy Formula for Hydraulic Radius given Energy Slope
Go Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope
Chezy Formula for Energy Slope
Go Energy Slope = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Hydraulic Radius of Channel

Chezy Formula for Mean Velocity given Energy Slope Formula

Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel)
vm,R = sqrt(Sf*(CVF^2)*RH)

What is Mean Velocity?

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion.

How to Calculate Chezy Formula for Mean Velocity given Energy Slope?

Chezy Formula for Mean Velocity given Energy Slope calculator uses Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel) to calculate the Mean Velocity for Varied Flow, The Chezy Formula for Mean Velocity given Energy Slope formula is defined as the formula which is used to calculate the average velocity of every particle in the channel. Mean Velocity for Varied Flow is denoted by vm,R symbol.

How to calculate Chezy Formula for Mean Velocity given Energy Slope using this online calculator? To use this online calculator for Chezy Formula for Mean Velocity given Energy Slope, enter Energy Slope (Sf), Chézy’s Coefficients for Varied Flow (CVF) & Hydraulic Radius of Channel (RH) and hit the calculate button. Here is how the Chezy Formula for Mean Velocity given Energy Slope calculation can be explained with given input values -> 123.8197 = sqrt(2.001*(69.2^2)*1.6).

FAQ

What is Chezy Formula for Mean Velocity given Energy Slope?
The Chezy Formula for Mean Velocity given Energy Slope formula is defined as the formula which is used to calculate the average velocity of every particle in the channel and is represented as vm,R = sqrt(Sf*(CVF^2)*RH) or Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel). Energy Slope is at a distance equal to the velocity head above the hydraulic gradient, Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel & 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.
How to calculate Chezy Formula for Mean Velocity given Energy Slope?
The Chezy Formula for Mean Velocity given Energy Slope formula is defined as the formula which is used to calculate the average velocity of every particle in the channel is calculated using Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel). To calculate Chezy Formula for Mean Velocity given Energy Slope, you need Energy Slope (Sf), Chézy’s Coefficients for Varied Flow (CVF) & Hydraulic Radius of Channel (RH). With our tool, you need to enter the respective value for Energy Slope, Chézy’s Coefficients for Varied Flow & Hydraulic Radius of 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 Mean Velocity for Varied Flow?
In this formula, Mean Velocity for Varied Flow uses Energy Slope, Chézy’s Coefficients for Varied Flow & Hydraulic Radius of Channel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity for Varied Flow = (Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)
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