Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic mean depth = ((Chézy’s Coefficients*(23+(0.00155/Bed slope))*Rugosity coefficient)/((1/Rugosity coefficient)+(23+(0.00155/Bed slope))-Chezy's constant))^2
m = ((C*(23+(0.00155/s))*n)/((1/n)+(23+(0.00155/s))-C))^2
This formula uses 5 Variables
Variables Used
Hydraulic mean depth - (Measured in Meter) - The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.
Chézy’s Coefficients - Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.
Bed slope - Bed slope of the sewer under consideration.
Rugosity coefficient - Rugosity coefficient depend upon the type of channel surface.
Chezy's constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.
STEP 1: Convert Input(s) to Base Unit
Chézy’s Coefficients: 1.5 --> No Conversion Required
Bed slope: 2 --> No Conversion Required
Rugosity coefficient: 0.015 --> No Conversion Required
Chezy's constant: 15 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = ((C*(23+(0.00155/s))*n)/((1/n)+(23+(0.00155/s))-C))^2 --> ((1.5*(23+(0.00155/2))*0.015)/((1/0.015)+(23+(0.00155/2))-15))^2
Evaluating ... ...
m = 4.80382781831725E-05
STEP 3: Convert Result to Output's Unit
4.80382781831725E-05 Meter --> No Conversion Required
FINAL ANSWER
4.80382781831725E-05 4.8E-5 Meter <-- Hydraulic mean depth
(Calculation completed in 00.004 seconds)

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2 Kutter's Formula Calculators

Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula
Go Hydraulic mean depth = ((Chézy’s Coefficients*(23+(0.00155/Bed slope))*Rugosity coefficient)/((1/Rugosity coefficient)+(23+(0.00155/Bed slope))-Chezy's constant))^2
Chezy's Constant by Kutter's Formula
Go Chezy's constant = ((23+(0.00155/Bed slope))+(1/Rugosity coefficient))/(1+(23+(0.00155/Bed slope))*(Rugosity coefficient/sqrt(Hydraulic mean depth)))

Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula Formula

Hydraulic mean depth = ((Chézy’s Coefficients*(23+(0.00155/Bed slope))*Rugosity coefficient)/((1/Rugosity coefficient)+(23+(0.00155/Bed slope))-Chezy's constant))^2
m = ((C*(23+(0.00155/s))*n)/((1/n)+(23+(0.00155/s))-C))^2

What is chezy's constant ?

In general the Chezy coefficient is a function of the flow Reynolds Number and the relative roughness of the channel. ε is the characteristic height of the roughness elements on the channel boundary.

How to Calculate Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula?

Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula calculator uses Hydraulic mean depth = ((Chézy’s Coefficients*(23+(0.00155/Bed slope))*Rugosity coefficient)/((1/Rugosity coefficient)+(23+(0.00155/Bed slope))-Chezy's constant))^2 to calculate the Hydraulic mean depth, The Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit. Hydraulic mean depth is denoted by m symbol.

How to calculate Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula using this online calculator? To use this online calculator for Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula, enter Chézy’s Coefficients (C), Bed slope (s), Rugosity coefficient (n) & Chezy's constant (C) and hit the calculate button. Here is how the Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula calculation can be explained with given input values -> 4.8E-5 = ((1.5*(23+(0.00155/2))*0.015)/((1/0.015)+(23+(0.00155/2))-15))^2.

FAQ

What is Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula?
The Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit and is represented as m = ((C*(23+(0.00155/s))*n)/((1/n)+(23+(0.00155/s))-C))^2 or Hydraulic mean depth = ((Chézy’s Coefficients*(23+(0.00155/Bed slope))*Rugosity coefficient)/((1/Rugosity coefficient)+(23+(0.00155/Bed slope))-Chezy's constant))^2. Chézy’s Coefficients is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel, Bed slope of the sewer under consideration, Rugosity coefficient depend upon the type of channel surface & The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.
How to calculate Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula?
The Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit is calculated using Hydraulic mean depth = ((Chézy’s Coefficients*(23+(0.00155/Bed slope))*Rugosity coefficient)/((1/Rugosity coefficient)+(23+(0.00155/Bed slope))-Chezy's constant))^2. To calculate Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula, you need Chézy’s Coefficients (C), Bed slope (s), Rugosity coefficient (n) & Chezy's constant (C). With our tool, you need to enter the respective value for Chézy’s Coefficients, Bed slope, Rugosity coefficient & Chezy's constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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