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Self Cleansing Velocity given Rugosity Coefficient Formula

GoSelf Cleansing Velocity Formula

GoSelf Cleansing Velocity given Friction Factor Formula

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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. Check FAQs

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

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

Self Cleansing Velocity given Rugosity Coefficient Example

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Here is how the Self Cleansing Velocity given Rugosity Coefficient equation looks like with Values.

Here is how the Self Cleansing Velocity given Rugosity Coefficient equation looks like with Units.

Here is how the Self Cleansing Velocity given Rugosity Coefficient equation looks like.

0.7427 = (\frac{1}{0.015}) \cdot {(10)}^{\frac{1}{6}} \cdot \sqrt{0.04 \cdot 4.8 \cdot (1.3 - 1)}

0.7427m/s = (\frac{1}{0.015}) \cdot {(10m)}^{\frac{1}{6}} \cdot \sqrt{0.04 \cdot 4.8mm \cdot (1.3 - 1)}

0.7427 = (\frac{1}{0.015}) \cdot {(10)}^{\frac{1}{6}} \cdot \sqrt{0.04 \cdot 4.8 \cdot (1.3 - 1)}

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Self Cleansing Velocity given Rugosity Coefficient Solution

Follow our step by step solution on how to calculate Self Cleansing Velocity given Rugosity Coefficient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v s = (\frac{1}{0.015}) \cdot {(10m)}^{\frac{1}{6}} \cdot \sqrt{0.04 \cdot 4.8mm \cdot (1.3 - 1)}

Next Step Convert Units

∴

v s = (\frac{1}{0.015}) \cdot {(10m)}^{\frac{1}{6}} \cdot \sqrt{0.04 \cdot 0.0048m \cdot (1.3 - 1)}

Next Step Prepare to Evaluate

∴

v s = (\frac{1}{0.015}) \cdot {(10)}^{\frac{1}{6}} \cdot \sqrt{0.04 \cdot 0.0048 \cdot (1.3 - 1)}

Next Step Evaluate

∴

v s = 0.742654213378045m/s

LAST Step Rounding Answer

∴

v s = 0.7427m/s

Self Cleansing Velocity given Rugosity Coefficient Formula Elements

Variables

Functions

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

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

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

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

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

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 Self Cleansing Velocity

Go Self Cleansing Velocity

v s = C \cdot \sqrt{k \cdot d' \cdot (G - 1)}

Go Self Cleansing Velocity given Friction Factor

v s = \sqrt{\frac{8 \cdot [g] \cdot k \cdot d' \cdot (G - 1)}{f'}}

Other formulas in Self Cleansing Velocity category

Go Self Cleaning Invert Slope

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

How to Evaluate Self Cleansing Velocity given Rugosity Coefficient?

Self Cleansing Velocity given Rugosity Coefficient evaluator uses Self Cleansing Velocity = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(1/6)*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)) to evaluate the Self Cleansing Velocity, Self Cleansing Velocity given Rugosity Coefficient is defined as the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path. Self Cleansing Velocity is denoted by v_s symbol.

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

FAQs on Self Cleansing Velocity given Rugosity Coefficient

What is the formula to find Self Cleansing Velocity given Rugosity Coefficient?

The formula of Self Cleansing Velocity given Rugosity Coefficient is expressed as Self Cleansing Velocity = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(1/6)*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)). Here is an example- 18.56636 = (1/0.015)*(10)^(1/6)*sqrt(0.04*diameter_of_the_grain*(1.3-1)).

How to calculate Self Cleansing Velocity given Rugosity Coefficient?

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

What are the other ways to Calculate Self Cleansing Velocity?

Here are the different ways to Calculate Self Cleansing Velocity-

Self Cleansing Velocity=Chezy's Constant*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))
Self Cleansing Velocity=sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor)

Can the Self Cleansing Velocity given Rugosity Coefficient be negative?

No, the Self Cleansing Velocity given Rugosity Coefficient, measured in Speed cannot be negative.

Which unit is used to measure Self Cleansing Velocity given Rugosity Coefficient?

Self Cleansing Velocity given Rugosity Coefficient is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Self Cleansing Velocity given Rugosity Coefficient can be measured.

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Self Cleansing Velocity given Rugosity Coefficient Formula

​GoSelf Cleansing Velocity Formula

​GoSelf Cleansing Velocity given Friction Factor Formula

Self Cleansing Velocity given Rugosity Coefficient Example

Self Cleansing Velocity given Rugosity Coefficient Solution

Self Cleansing Velocity given Rugosity Coefficient Formula Elements

Other Formulas to find Self Cleansing Velocity

Other formulas in Self Cleansing Velocity category

How to Evaluate Self Cleansing Velocity given Rugosity Coefficient?

FAQs on Self Cleansing Velocity given Rugosity Coefficient

Variable Name

GoSelf Cleansing Velocity Formula

GoSelf Cleansing Velocity given Friction Factor Formula