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Chezy's Constant by Kutter's Formula Calculator

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✖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 [m]			+10% -10%

✖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]

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Chezy's Constant by Kutter's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
C_k = ((23+(0.00155/s))+(1/n))/(1+(23+(0.00155/s))*(n/sqrt(m)))
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Bed Slope of Channel: 0.001 --> No Conversion Required
Rugosity Coefficient: 0.015 --> No Conversion Required
Hydraulic Mean Depth: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_k = ((23+(0.00155/s))+(1/n))/(1+(23+(0.00155/s))*(n/sqrt(m))) --> ((23+(0.00155/0.001))+(1/0.015))/(1+(23+(0.00155/0.001))*(0.015/sqrt(10)))

Evaluating ... ...

C_k = 81.7023558516091

STEP 3: Convert Result to Output's Unit

81.7023558516091 --> No Conversion Required

FINAL ANSWER

81.7023558516091 ≈ 81.70236 <-- Chezy's Constant by Kutter's Formula

(Calculation completed in 00.020 seconds)

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< Kutter's Formula Calculators

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)))

Chezy's Constant by Kutter's Formula Formula

LaTeX Go

What is bed slope ?

Bed slope is the gradient or incline of a channel's bed, influencing the velocity and direction of water flow, typically measured as a ratio or percentage.

How to Calculate Chezy's Constant by Kutter's Formula?

Chezy's Constant by Kutter's Formula calculator uses 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))) to calculate the Chezy's Constant by Kutter's Formula, The Chezy's Constant by Kutter's Formula is defined as an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness. Chezy's Constant by Kutter's Formula is denoted by C_k symbol.

How to calculate Chezy's Constant by Kutter's Formula using this online calculator? To use this online calculator for Chezy's Constant by Kutter's Formula, enter Bed Slope of Channel (s), Rugosity Coefficient (n) & Hydraulic Mean Depth (m) and hit the calculate button. Here is how the Chezy's Constant by Kutter's Formula calculation can be explained with given input values -> 81.70236 = ((23+(0.00155/0.001))+(1/0.015))/(1+(23+(0.00155/0.001))*(0.015/sqrt(10))).

FAQ

What is Chezy's Constant by Kutter's Formula?

The Chezy's Constant by Kutter's Formula is defined as an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness and is represented as C_k = ((23+(0.00155/s))+(1/n))/(1+(23+(0.00155/s))*(n/sqrt(m))) or 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))). 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 & The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.

How to calculate Chezy's Constant by Kutter's Formula?

The Chezy's Constant by Kutter's Formula is defined as an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness is calculated using 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))). To calculate Chezy's Constant by Kutter's Formula, you need Bed Slope of Channel (s), Rugosity Coefficient (n) & Hydraulic Mean Depth (m). With our tool, you need to enter the respective value for Bed Slope of Channel, Rugosity Coefficient & Hydraulic Mean Depth 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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