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Chezy's Constant by Kutter's Formula Formula

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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. Check FAQs

C k = \frac{(23 + (\frac{0.00155}{s})) + (\frac{1}{n})}{1 + (23 + (\frac{0.00155}{s})) \cdot (\frac{n}{\sqrt{m}})}

C_k - Chezy's Constant by Kutter's Formula?s - Bed Slope of Channel?n - Rugosity Coefficient?m - Hydraulic Mean Depth?

Chezy's Constant by Kutter's Formula Example

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Here is how the Chezy's Constant by Kutter's Formula equation looks like with Values.

Here is how the Chezy's Constant by Kutter's Formula equation looks like with Units.

Here is how the Chezy's Constant by Kutter's Formula equation looks like.

81.7024 = \frac{(23 + (\frac{0.00155}{0.001})) + (\frac{1}{0.015})}{1 + (23 + (\frac{0.00155}{0.001})) \cdot (\frac{0.015}{\sqrt{10}})}

81.7024 = \frac{(23 + (\frac{0.00155}{0.001})) + (\frac{1}{0.015})}{1 + (23 + (\frac{0.00155}{0.001})) \cdot (\frac{0.015}{\sqrt{10m}})}

81.7024 = \frac{(23 + (\frac{0.00155}{0.001})) + (\frac{1}{0.015})}{1 + (23 + (\frac{0.00155}{0.001})) \cdot (\frac{0.015}{\sqrt{10}})}

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Chezy's Constant by Kutter's Formula Solution

Follow our step by step solution on how to calculate Chezy's Constant by Kutter's Formula?

FIRST Step Consider the formula

C k = \frac{(23 + (\frac{0.00155}{s})) + (\frac{1}{n})}{1 + (23 + (\frac{0.00155}{s})) \cdot (\frac{n}{\sqrt{m}})}

Next Step Substitute values of Variables

∴

C k = \frac{(23 + (\frac{0.00155}{0.001})) + (\frac{1}{0.015})}{1 + (23 + (\frac{0.00155}{0.001})) \cdot (\frac{0.015}{\sqrt{10m}})}

Next Step Prepare to Evaluate

∴

C k = \frac{(23 + (\frac{0.00155}{0.001})) + (\frac{1}{0.015})}{1 + (23 + (\frac{0.00155}{0.001})) \cdot (\frac{0.015}{\sqrt{10}})}

Next Step Evaluate

∴

C k = 81.7023558516091

LAST Step Rounding Answer

∴

C k = 81.7024

Chezy's Constant by Kutter's Formula Formula Elements

Variables

Functions

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.

Symbol: C_k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant by Kutter's Formula

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.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope of Channel

Rugosity Coefficient

The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rugosity Coefficient

Hydraulic Mean Depth

The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.

Symbol: m

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Mean Depth

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.

Syntax: sqrt(Number)

Other formulas in Kutter's Formula category

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

m = {(\frac{C k \cdot (23 + (\frac{0.00155}{s})) \cdot n}{(\frac{1}{n}) + (23 + (\frac{0.00155}{s})) - C k})}^{2}

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

Chezy's Constant by Kutter's Formula evaluator 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 evaluate 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 evaluate Chezy's Constant by Kutter's Formula using this online evaluator? To use this online evaluator 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.

FAQs on Chezy's Constant by Kutter's Formula

What is the formula to find Chezy's Constant by Kutter's Formula?

The formula of Chezy's Constant by Kutter's Formula is expressed as 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))). Here is an example- 81.70236 = ((23+(0.00155/0.001))+(1/0.015))/(1+(23+(0.00155/0.001))*(0.015/sqrt(10))).

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

With Bed Slope of Channel (s), Rugosity Coefficient (n) & Hydraulic Mean Depth (m) we can find Chezy's Constant by Kutter's Formula using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

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Chezy's Constant by Kutter's Formula Formula

Chezy's Constant by Kutter's Formula Example

Chezy's Constant by Kutter's Formula Solution

Chezy's Constant by Kutter's Formula Formula Elements

Other formulas in Kutter's Formula category

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

FAQs on Chezy's Constant by Kutter's Formula

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