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

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✖Chezy's Constant by Kutter's Formula refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.ⓘ Chezy's Constant by Kutter's Formula [C_k]			+10% -10%
✖Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.ⓘ Bed Slope of Channel [s]			+10% -10%
✖The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.ⓘ Rugosity Coefficient [n]			+10% -10%

✖The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.ⓘ Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula [m]

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

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Mean Depth = ((Chezy's Constant by Kutter's Formula*(23+(0.00155/Bed Slope of Channel))*Rugosity Coefficient)/((1/Rugosity Coefficient)+(23+(0.00155/Bed Slope of Channel))-Chezy's Constant by Kutter's Formula))^2
m = ((C_k*(23+(0.00155/s))*n)/((1/n)+(23+(0.00155/s))-C_k))^2
This formula uses 4 Variables

Variables Used

Hydraulic Mean Depth - (Measured in Meter) - The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
Chezy's Constant by Kutter's Formula - Chezy's Constant by Kutter's Formula refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.
Bed Slope of Channel - Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.
Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.

STEP 1: Convert Input(s) to Base Unit

Chezy's Constant by Kutter's Formula: 81.7 --> No Conversion Required
Bed Slope of Channel: 0.001 --> No Conversion Required
Rugosity Coefficient: 0.015 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = ((C_k*(23+(0.00155/s))*n)/((1/n)+(23+(0.00155/s))-C_k))^2 --> ((81.7*(23+(0.00155/0.001))*0.015)/((1/0.015)+(23+(0.00155/0.001))-81.7))^2

Evaluating ... ...

m = 9.99447321374382

STEP 3: Convert Result to Output's Unit

9.99447321374382 Meter --> No Conversion Required

FINAL ANSWER

9.99447321374382 ≈ 9.994473 Meter <-- Hydraulic Mean Depth

(Calculation completed in 00.020 seconds)

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

LaTeX Go Hydraulic Mean Depth = ((Chezy's Constant by Kutter's Formula*(23+(0.00155/Bed Slope of Channel))*Rugosity Coefficient)/((1/Rugosity Coefficient)+(23+(0.00155/Bed Slope of Channel))-Chezy's Constant by Kutter's Formula))^2

Chezy's Constant by Kutter's Formula

LaTeX Go Chezy's Constant by Kutter's Formula = ((23+(0.00155/Bed Slope of Channel))+(1/Rugosity Coefficient))/(1+(23+(0.00155/Bed Slope of Channel))*(Rugosity Coefficient/sqrt(Hydraulic Mean Depth)))

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

LaTeX Go

What is Chezy's Constant ?

In general the Chezy coefficient is an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.

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 = ((Chezy's Constant by Kutter's Formula*(23+(0.00155/Bed Slope of Channel))*Rugosity Coefficient)/((1/Rugosity Coefficient)+(23+(0.00155/Bed Slope of Channel))-Chezy's Constant by Kutter's Formula))^2 to calculate the Hydraulic Mean Depth, The Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula is defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter. 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 Chezy's Constant by Kutter's Formula (C_k), Bed Slope of Channel (s) & Rugosity Coefficient (n) 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 -> 9.994473 = ((81.7*(23+(0.00155/0.001))*0.015)/((1/0.015)+(23+(0.00155/0.001))-81.7))^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 defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter and is represented as m = ((C_k*(23+(0.00155/s))*n)/((1/n)+(23+(0.00155/s))-C_k))^2 or Hydraulic Mean Depth = ((Chezy's Constant by Kutter's Formula*(23+(0.00155/Bed Slope of Channel))*Rugosity Coefficient)/((1/Rugosity Coefficient)+(23+(0.00155/Bed Slope of Channel))-Chezy's Constant by Kutter's Formula))^2. Chezy's Constant by Kutter's Formula refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness, Bed Slope of Channel refers to the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage & The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.

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 defined as the cross-sectional area of the flow in a channel, which is used to calculate the hydraulic radius by dividing it by the wetted perimeter is calculated using Hydraulic Mean Depth = ((Chezy's Constant by Kutter's Formula*(23+(0.00155/Bed Slope of Channel))*Rugosity Coefficient)/((1/Rugosity Coefficient)+(23+(0.00155/Bed Slope of Channel))-Chezy's Constant by Kutter's Formula))^2. To calculate Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula, you need Chezy's Constant by Kutter's Formula (C_k), Bed Slope of Channel (s) & Rugosity Coefficient (n). With our tool, you need to enter the respective value for Chezy's Constant by Kutter's Formula, Bed Slope of Channel & Rugosity Coefficient 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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