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Hydraulic Mean Depth given Self Cleansing Velocity Formula

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GoHydraulic Mean Depth of Channel given Drag Force Formula

3

GoHydraulic Mean Depth given Self Cleaning Invert Slope 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 s \cdot n}{\sqrt{k \cdot d' \cdot (G - 1)}})}^{6}

m - Hydraulic Mean Depth?v_s - Self Cleansing Velocity?n - Rugosity Coefficient?k - Dimensional Constant?d^' - Diameter of Particle?G - Specific Gravity of Sediment?

Hydraulic Mean Depth given Self Cleansing Velocity Example

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With units

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Here is how the Hydraulic Mean Depth given Self Cleansing Velocity equation looks like with Values.

Here is how the Hydraulic Mean Depth given Self Cleansing Velocity equation looks like with Units.

Here is how the Hydraulic Mean Depth given Self Cleansing Velocity equation looks like.

0.0001 = {(\frac{0.114 \cdot 0.015}{\sqrt{0.04 \cdot 4.8 \cdot (1.3 - 1)}})}^{6}

0.0001m = {(\frac{0.114m/s \cdot 0.015}{\sqrt{0.04 \cdot 4.8mm \cdot (1.3 - 1)}})}^{6}

0.0001 = {(\frac{0.114 \cdot 0.015}{\sqrt{0.04 \cdot 4.8 \cdot (1.3 - 1)}})}^{6}

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Hydraulic Mean Depth given Self Cleansing Velocity Solution

Follow our step by step solution on how to calculate Hydraulic Mean Depth given Self Cleansing Velocity?

FIRST Step Consider the formula

m = {(\frac{v s \cdot n}{\sqrt{k \cdot d' \cdot (G - 1)}})}^{6}

Next Step Substitute values of Variables

∴

m = {(\frac{0.114m/s \cdot 0.015}{\sqrt{0.04 \cdot 4.8mm \cdot (1.3 - 1)}})}^{6}

Next Step Convert Units

∴

m = {(\frac{0.114m/s \cdot 0.015}{\sqrt{0.04 \cdot 0.0048m \cdot (1.3 - 1)}})}^{6}

Next Step Prepare to Evaluate

∴

m = {(\frac{0.114 \cdot 0.015}{\sqrt{0.04 \cdot 0.0048 \cdot (1.3 - 1)}})}^{6}

Next Step Evaluate

∴

m = 0.000130830563541412m

LAST Step Rounding Answer

∴

m = 0.0001m

Hydraulic Mean Depth given Self Cleansing Velocity 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

Open Variable

Self Cleansing Velocity

Self Cleansing Velocity refers to the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Self Cleansing Velocity

Open Variable

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

Open Variable

Dimensional Constant

Dimensional Constant indicates important characteristics of sediments present in the sewage. Its value usually varies from 0.04 (start of scouring of clean grit) to 0.08 (full removal of sticky grit).

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dimensional Constant

Open Variable

Diameter of Particle

The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.

Symbol: d^'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Particle

Open Variable

Specific Gravity of Sediment

Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Sediment

Open Variable

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 to find Hydraulic Mean Depth

Go Hydraulic Mean Depth of Channel given Drag Force

m = \frac{F D}{γ w \cdot S̄}

Go Hydraulic Mean Depth given Self Cleaning Invert Slope

m = (\frac{k}{sL I}) \cdot (G - 1) \cdot d'

How to Evaluate Hydraulic Mean Depth given Self Cleansing Velocity?

Hydraulic Mean Depth given Self Cleansing Velocity evaluator uses Hydraulic Mean Depth = ((Self Cleansing Velocity*Rugosity Coefficient)/sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))^6 to evaluate the Hydraulic Mean Depth, The Hydraulic Mean Depth given Self Cleansing Velocity is defined as the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels. Hydraulic Mean Depth is denoted by m symbol.

How to evaluate Hydraulic Mean Depth given Self Cleansing Velocity using this online evaluator? To use this online evaluator for Hydraulic Mean Depth given Self Cleansing Velocity, enter Self Cleansing Velocity (v_s), Rugosity Coefficient (n), Dimensional Constant (k), Diameter of Particle (d^') & Specific Gravity of Sediment (G) and hit the calculate button.

FAQs on Hydraulic Mean Depth given Self Cleansing Velocity

What is the formula to find Hydraulic Mean Depth given Self Cleansing Velocity?

The formula of Hydraulic Mean Depth given Self Cleansing Velocity is expressed as Hydraulic Mean Depth = ((Self Cleansing Velocity*Rugosity Coefficient)/sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))^6. Here is an example- 0.000131 = ((0.114*0.015)/sqrt(0.04*0.0048*(1.3-1)))^6.

How to calculate Hydraulic Mean Depth given Self Cleansing Velocity?

With Self Cleansing Velocity (v_s), Rugosity Coefficient (n), Dimensional Constant (k), Diameter of Particle (d^') & Specific Gravity of Sediment (G) we can find Hydraulic Mean Depth given Self Cleansing Velocity using the formula - Hydraulic Mean Depth = ((Self Cleansing Velocity*Rugosity Coefficient)/sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))^6. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Hydraulic Mean Depth?

Here are the different ways to Calculate Hydraulic Mean Depth-

Hydraulic Mean Depth=Drag Force/(Unit Weight of Fluid*Bed Slope of a Sewer)
Hydraulic Mean Depth=(Dimensional Constant/Self Cleaning Invert Slope)*(Specific Gravity of Sediment-1)*Diameter of Particle

Can the Hydraulic Mean Depth given Self Cleansing Velocity be negative?

Yes, the Hydraulic Mean Depth given Self Cleansing Velocity, measured in Length can be negative.

Which unit is used to measure Hydraulic Mean Depth given Self Cleansing Velocity?

Hydraulic Mean Depth given Self Cleansing Velocity 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 Self Cleansing Velocity can be measured.

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