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Self Cleansing Velocity given Friction Factor Formula

GoSelf Cleansing Velocity Formula

GoSelf Cleansing Velocity given Rugosity Coefficient 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 = \sqrt{\frac{8 \cdot [g] \cdot k \cdot d' \cdot (G - 1)}{f'}}

v_s - Self Cleansing Velocity?k - Dimensional Constant?d^' - Diameter of Particle?G - Specific Gravity of Sediment?f' - Friction Factor?[g] - Gravitational acceleration on Earth?

Self Cleansing Velocity given Friction Factor Example

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Here is how the Self Cleansing Velocity given Friction Factor equation looks like with Values.

Here is how the Self Cleansing Velocity given Friction Factor equation looks like with Units.

Here is how the Self Cleansing Velocity given Friction Factor equation looks like.

0.114 = \sqrt{\frac{8 \cdot 9.8066 \cdot 0.04 \cdot 4.8 \cdot (1.3 - 1)}{0.348}}

0.114m/s = \sqrt{\frac{8 \cdot 9.8066m/s² \cdot 0.04 \cdot 4.8mm \cdot (1.3 - 1)}{0.348}}

0.114 = \sqrt{\frac{8 \cdot 9.8066 \cdot 0.04 \cdot 4.8 \cdot (1.3 - 1)}{0.348}}

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Self Cleansing Velocity given Friction Factor Solution

Follow our step by step solution on how to calculate Self Cleansing Velocity given Friction Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

v s = \sqrt{\frac{8 \cdot [g] \cdot 0.04 \cdot 4.8mm \cdot (1.3 - 1)}{0.348}}

Next Step Substitute values of Constants

∴

v s = \sqrt{\frac{8 \cdot 9.8066m/s² \cdot 0.04 \cdot 4.8mm \cdot (1.3 - 1)}{0.348}}

Next Step Convert Units

∴

v s = \sqrt{\frac{8 \cdot 9.8066m/s² \cdot 0.04 \cdot 0.0048m \cdot (1.3 - 1)}{0.348}}

Next Step Prepare to Evaluate

∴

v s = \sqrt{\frac{8 \cdot 9.8066 \cdot 0.04 \cdot 0.0048 \cdot (1.3 - 1)}{0.348}}

Next Step Evaluate

∴

v s = 0.113953311673594m/s

LAST Step Rounding Answer

∴

v s = 0.114m/s

Self Cleansing Velocity given Friction Factor Formula Elements

Variables

Constants

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

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

Friction Factor

The Friction Factor quantifies resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity.

Symbol: f'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Friction Factor

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Rugosity Coefficient

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

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 Friction Factor?

Self Cleansing Velocity given Friction Factor evaluator uses Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor) to evaluate the Self Cleansing Velocity, Self Cleansing Velocity given Friction Factor 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 Friction Factor using this online evaluator? To use this online evaluator for Self Cleansing Velocity given Friction Factor, enter Dimensional Constant (k), Diameter of Particle (d^'), Specific Gravity of Sediment (G) & Friction Factor (f') and hit the calculate button.

FAQs on Self Cleansing Velocity given Friction Factor

What is the formula to find Self Cleansing Velocity given Friction Factor?

The formula of Self Cleansing Velocity given Friction Factor is expressed as Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor). Here is an example- 2.848833 = sqrt((8*[g]*0.04*diameter_of_the_grain*(1.3-1))/0.348).

How to calculate Self Cleansing Velocity given Friction Factor?

With Dimensional Constant (k), Diameter of Particle (d^'), Specific Gravity of Sediment (G) & Friction Factor (f') we can find Self Cleansing Velocity given Friction Factor using the formula - Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor). This formula also uses Gravitational acceleration on Earth constant(s) and 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=(1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(1/6)*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))

Can the Self Cleansing Velocity given Friction Factor be negative?

No, the Self Cleansing Velocity given Friction Factor, measured in Speed cannot be negative.

Which unit is used to measure Self Cleansing Velocity given Friction Factor?

Self Cleansing Velocity given Friction Factor 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 Friction Factor can be measured.

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Self Cleansing Velocity given Friction Factor Formula

​GoSelf Cleansing Velocity Formula

​GoSelf Cleansing Velocity given Rugosity Coefficient Formula

Self Cleansing Velocity given Friction Factor Example

Self Cleansing Velocity given Friction Factor Solution

Self Cleansing Velocity given Friction Factor Formula Elements

Other Formulas to find Self Cleansing Velocity

Other formulas in Self Cleansing Velocity category

How to Evaluate Self Cleansing Velocity given Friction Factor?

FAQs on Self Cleansing Velocity given Friction Factor

Variable Name

GoSelf Cleansing Velocity Formula

GoSelf Cleansing Velocity given Rugosity Coefficient Formula