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Hydraulic Mean Depth given Flow Velocity by Manning'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{V m \cdot n}{\sqrt{s}})}^{\frac{3}{2}}

m - Hydraulic Mean Depth?V_m - Flow Velocity for Manning's Formula?n - Rugosity Coefficient?s - Bed Slope of Channel?

Hydraulic Mean Depth given Flow Velocity by Manning's Formula Example

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Here is how the Hydraulic Mean Depth given Flow Velocity by Manning's Formula equation looks like with Values.

Here is how the Hydraulic Mean Depth given Flow Velocity by Manning's Formula equation looks like with Units.

Here is how the Hydraulic Mean Depth given Flow Velocity by Manning's Formula equation looks like.

9.9918 = {(\frac{9.78 \cdot 0.015}{\sqrt{0.001}})}^{\frac{3}{2}}

9.9918m = {(\frac{9.78m/s \cdot 0.015}{\sqrt{0.001}})}^{\frac{3}{2}}

9.9918 = {(\frac{9.78 \cdot 0.015}{\sqrt{0.001}})}^{\frac{3}{2}}

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Hydraulic Mean Depth given Flow Velocity by Manning's Formula Solution

Follow our step by step solution on how to calculate Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

FIRST Step Consider the formula

m = {(\frac{V m \cdot n}{\sqrt{s}})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

m = {(\frac{9.78m/s \cdot 0.015}{\sqrt{0.001}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

m = {(\frac{9.78 \cdot 0.015}{\sqrt{0.001}})}^{\frac{3}{2}}

Next Step Evaluate

∴

m = 9.99183309166399m

LAST Step Rounding Answer

∴

m = 9.9918m

Hydraulic Mean Depth given Flow Velocity by Manning's Formula Formula Elements

Variables

Functions

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

Flow Velocity for Manning's Formula

Flow Velocity for Manning's Formula refers to the speed at which fluid moves through a channel or pipe, typically measured in meters per second (m/s) or feet per second (ft/s).

Symbol: V_m

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flow Velocity for Manning's Formula

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

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

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 Manning's Formula category

Go Flow Velocity by Manning's Formula

V m = (\frac{1}{n}) \cdot {(m)}^{\frac{2}{3}} \cdot \sqrt{s}

Go Rugosity Coefficient given Flow Velocity by Manning's Formula

n = (\frac{1}{V m}) \cdot {(m)}^{\frac{2}{3}} \cdot \sqrt{s}

Go Bed Slope of Sewer given Flow Velocity by Manning's Formula

s = {(\frac{V m \cdot n}{{(m)}^{\frac{2}{3}}})}^{2}

How to Evaluate Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

Hydraulic Mean Depth given Flow Velocity by Manning's Formula evaluator uses Hydraulic Mean Depth = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/sqrt(Bed Slope of Channel))^(3/2) to evaluate the Hydraulic Mean Depth, The Hydraulic Mean Depth given Flow Velocity by Manning'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 Flow Velocity by Manning's Formula using this online evaluator? To use this online evaluator for Hydraulic Mean Depth given Flow Velocity by Manning's Formula, enter Flow Velocity for Manning's Formula (V_m), Rugosity Coefficient (n) & Bed Slope of Channel (s) and hit the calculate button.

FAQs on Hydraulic Mean Depth given Flow Velocity by Manning's Formula

What is the formula to find Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

The formula of Hydraulic Mean Depth given Flow Velocity by Manning's Formula is expressed as Hydraulic Mean Depth = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/sqrt(Bed Slope of Channel))^(3/2). Here is an example- 9.991833 = ((9.78*0.015)/sqrt(0.001))^(3/2).

How to calculate Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

With Flow Velocity for Manning's Formula (V_m), Rugosity Coefficient (n) & Bed Slope of Channel (s) we can find Hydraulic Mean Depth given Flow Velocity by Manning's Formula using the formula - Hydraulic Mean Depth = ((Flow Velocity for Manning's Formula*Rugosity Coefficient)/sqrt(Bed Slope of Channel))^(3/2). This formula also uses Square Root (sqrt) function(s).

Can the Hydraulic Mean Depth given Flow Velocity by Manning's Formula be negative?

Yes, the Hydraulic Mean Depth given Flow Velocity by Manning's Formula, measured in Length can be negative.

Which unit is used to measure Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

Hydraulic Mean Depth given Flow Velocity by Manning'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 Flow Velocity by Manning's Formula can be measured.

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Hydraulic Mean Depth given Flow Velocity by Manning's Formula Formula

Hydraulic Mean Depth given Flow Velocity by Manning's Formula Example

Hydraulic Mean Depth given Flow Velocity by Manning's Formula Solution

Hydraulic Mean Depth given Flow Velocity by Manning's Formula Formula Elements

Other formulas in Manning's Formula category

How to Evaluate Hydraulic Mean Depth given Flow Velocity by Manning's Formula?

FAQs on Hydraulic Mean Depth given Flow Velocity by Manning's Formula

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