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

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

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

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

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

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

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

Here is how the Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula equation looks like.

9.9945 = {(\frac{81.7 \cdot (23 + (\frac{0.00155}{0.001})) \cdot 0.015}{(\frac{1}{0.015}) + (23 + (\frac{0.00155}{0.001})) - 81.7})}^{2}

9.9945m = {(\frac{81.7 \cdot (23 + (\frac{0.00155}{0.001})) \cdot 0.015}{(\frac{1}{0.015}) + (23 + (\frac{0.00155}{0.001})) - 81.7})}^{2}

9.9945 = {(\frac{81.7 \cdot (23 + (\frac{0.00155}{0.001})) \cdot 0.015}{(\frac{1}{0.015}) + (23 + (\frac{0.00155}{0.001})) - 81.7})}^{2}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m = {(\frac{81.7 \cdot (23 + (\frac{0.00155}{0.001})) \cdot 0.015}{(\frac{1}{0.015}) + (23 + (\frac{0.00155}{0.001})) - 81.7})}^{2}

Next Step Prepare to Evaluate

∴

m = {(\frac{81.7 \cdot (23 + (\frac{0.00155}{0.001})) \cdot 0.015}{(\frac{1}{0.015}) + (23 + (\frac{0.00155}{0.001})) - 81.7})}^{2}

Next Step Evaluate

∴

m = 9.99447321374382m

LAST Step Rounding Answer

∴

m = 9.9945m

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

Variables

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

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

Other formulas in Kutter's Formula category

Go Chezy's Constant by Kutter's Formula

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

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

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

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

What is the formula to find Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula?

The formula of Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula is expressed as 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. Here is an example- 9.994473 = ((81.7*(23+(0.00155/0.001))*0.015)/((1/0.015)+(23+(0.00155/0.001))-81.7))^2.

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

With Chezy's Constant by Kutter's Formula (C_k), Bed Slope of Channel (s) & Rugosity Coefficient (n) we can find Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula using the formula - 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.

Can the Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula be negative?

Yes, the Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula, measured in Length can be negative.

Which unit is used to measure Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula?

Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula can be measured.

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

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

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

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

Other formulas in Kutter's Formula category

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

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

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