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Friction Factor given Self Cleansing Velocity Formula

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

f' = \frac{8 \cdot [g] \cdot k \cdot d' \cdot (G - 1)}{{(v s)}^{2}}

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

Friction Factor given Self Cleansing Velocity Example

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

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

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

0.3477 = \frac{8 \cdot 9.8066 \cdot 0.04 \cdot 4.8 \cdot (1.3 - 1)}{{(0.114)}^{2}}

0.3477 = \frac{8 \cdot 9.8066m/s² \cdot 0.04 \cdot 4.8mm \cdot (1.3 - 1)}{{(0.114m/s)}^{2}}

0.3477 = \frac{8 \cdot 9.8066 \cdot 0.04 \cdot 4.8 \cdot (1.3 - 1)}{{(0.114)}^{2}}

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Friction Factor given Self Cleansing Velocity Solution

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

FIRST Step Consider the formula

f' = \frac{8 \cdot [g] \cdot k \cdot d' \cdot (G - 1)}{{(v s)}^{2}}

Next Step Substitute values of Variables

∴

f' = \frac{8 \cdot [g] \cdot 0.04 \cdot 4.8mm \cdot (1.3 - 1)}{{(0.114m/s)}^{2}}

Next Step Substitute values of Constants

∴

f' = \frac{8 \cdot 9.8066m/s² \cdot 0.04 \cdot 4.8mm \cdot (1.3 - 1)}{{(0.114m/s)}^{2}}

Next Step Convert Units

∴

f' = \frac{8 \cdot 9.8066m/s² \cdot 0.04 \cdot 0.0048m \cdot (1.3 - 1)}{{(0.114m/s)}^{2}}

Next Step Prepare to Evaluate

∴

f' = \frac{8 \cdot 9.8066 \cdot 0.04 \cdot 0.0048 \cdot (1.3 - 1)}{{(0.114)}^{2}}

Next Step Evaluate

∴

f' = 0.347715013850416

LAST Step Rounding Answer

∴

f' = 0.3477

Friction Factor given Self Cleansing Velocity Formula Elements

Variables

Constants

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

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

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

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

Other formulas in Minimum Velocity to be Generated in Sewers category

Go Chezy's Constant given Self Cleansing Velocity

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

Go Chezy's Constant given Friction Factor

C = \sqrt{\frac{8 \cdot [g]}{f'}}

Go Cross Sectional Area of Flow given Hydraulic Mean Radius of Channel

A w = (m \cdot P)

Go Unit Weight of Water given Hydraulic Mean Depth

γ w = \frac{F D}{m \cdot S̄}

How to Evaluate Friction Factor given Self Cleansing Velocity?

Friction Factor given Self Cleansing Velocity evaluator uses Friction Factor = (8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/(Self Cleansing Velocity)^2 to evaluate the Friction Factor, The Friction Factor given Self Cleansing velocity is defined for resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity. Friction Factor is denoted by f' symbol.

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

FAQs on Friction Factor given Self Cleansing Velocity

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

The formula of Friction Factor given Self Cleansing Velocity is expressed as Friction Factor = (8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/(Self Cleansing Velocity)^2. Here is an example- 217.3219 = (8*[g]*0.04*diameter_of_the_grain*(1.3-1))/(0.114)^2.

How to calculate Friction Factor given Self Cleansing Velocity?

With Dimensional Constant (k), Diameter of Particle (d^'), Specific Gravity of Sediment (G) & Self Cleansing Velocity (v_s) we can find Friction Factor given Self Cleansing Velocity using the formula - Friction Factor = (8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/(Self Cleansing Velocity)^2. This formula also uses Gravitational acceleration on Earth constant(s).

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Friction Factor given Self Cleansing Velocity Formula

Friction Factor given Self Cleansing Velocity Example

Friction Factor given Self Cleansing Velocity Solution

Friction Factor given Self Cleansing Velocity Formula Elements

Other formulas in Minimum Velocity to be Generated in Sewers category

How to Evaluate Friction Factor given Self Cleansing Velocity?

FAQs on Friction Factor given Self Cleansing Velocity

Variable Name