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Diameter of Grain given Self Cleansing velocity Formula

GoDiameter of Grain given Self Cleaning Invert Slope Formula

GoDiameter of Grain for given Friction Factor Formula

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

d' = \frac{{(\frac{v s}{C})}^{2}}{k \cdot (G - 1)}

d^' - Diameter of Particle?v_s - Self Cleansing Velocity?C - Chezy's Constant?k - Dimensional Constant?G - Specific Gravity of Sediment?

Diameter of Grain given Self Cleansing velocity Example

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Here is how the Diameter of Grain given Self Cleansing velocity equation looks like with Values.

Here is how the Diameter of Grain given Self Cleansing velocity equation looks like with Units.

Here is how the Diameter of Grain given Self Cleansing velocity equation looks like.

4.8133 = \frac{{(\frac{0.114}{15})}^{2}}{0.04 \cdot (1.3 - 1)}

4.8133mm = \frac{{(\frac{0.114m/s}{15})}^{2}}{0.04 \cdot (1.3 - 1)}

4.8133 = \frac{{(\frac{0.114}{15})}^{2}}{0.04 \cdot (1.3 - 1)}

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Diameter of Grain given Self Cleansing velocity Solution

Follow our step by step solution on how to calculate Diameter of Grain given Self Cleansing velocity?

FIRST Step Consider the formula

d' = \frac{{(\frac{v s}{C})}^{2}}{k \cdot (G - 1)}

Next Step Substitute values of Variables

∴

d' = \frac{{(\frac{0.114m/s}{15})}^{2}}{0.04 \cdot (1.3 - 1)}

Next Step Prepare to Evaluate

∴

d' = \frac{{(\frac{0.114}{15})}^{2}}{0.04 \cdot (1.3 - 1)}

Next Step Evaluate

∴

d' = 0.00481333333333333m

Next Step Convert to Output's Unit

∴

d' = 4.81333333333333mm

LAST Step Rounding Answer

∴

d' = 4.8133mm

Diameter of Grain given Self Cleansing velocity Formula Elements

Variables

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

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

Chezy's Constant

The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Chezy's Constant

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

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

Other Formulas to find Diameter of Particle

Go Diameter of Grain given Self Cleaning Invert Slope

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

Go Diameter of Grain for given Friction Factor

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

Go Diameter of Grain given Rugosity Coefficient

d' = (\frac{1}{k \cdot (G - 1)}) \cdot {(\frac{v s \cdot n}{{(m)}^{\frac{1}{6}}})}^{2}

How to Evaluate Diameter of Grain given Self Cleansing velocity?

Diameter of Grain given Self Cleansing velocity evaluator uses Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1)) to evaluate the Diameter of Particle, The Diameter of Grain given Self Cleansing velocity is defined as the straight-line distance across its widest point, typically measured in micrometers or millimeters. Diameter of Particle is denoted by d^' symbol.

How to evaluate Diameter of Grain given Self Cleansing velocity using this online evaluator? To use this online evaluator for Diameter of Grain given Self Cleansing velocity, enter Self Cleansing Velocity (v_s), Chezy's Constant (C), Dimensional Constant (k) & Specific Gravity of Sediment (G) and hit the calculate button.

FAQs on Diameter of Grain given Self Cleansing velocity

What is the formula to find Diameter of Grain given Self Cleansing velocity?

The formula of Diameter of Grain given Self Cleansing velocity is expressed as Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1)). Here is an example- 0.004813 = (0.114/15)^2/(0.04*(1.3-1)).

How to calculate Diameter of Grain given Self Cleansing velocity?

With Self Cleansing Velocity (v_s), Chezy's Constant (C), Dimensional Constant (k) & Specific Gravity of Sediment (G) we can find Diameter of Grain given Self Cleansing velocity using the formula - Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1)).

What are the other ways to Calculate Diameter of Particle?

Here are the different ways to Calculate Diameter of Particle-

Diameter of Particle=Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1))
Diameter of Particle=(Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor)
Diameter of Particle=(1/(Dimensional Constant*(Specific Gravity of Sediment-1)))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2

Can the Diameter of Grain given Self Cleansing velocity be negative?

No, the Diameter of Grain given Self Cleansing velocity, measured in Length cannot be negative.

Which unit is used to measure Diameter of Grain given Self Cleansing velocity?

Diameter of Grain given Self Cleansing velocity is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Grain given Self Cleansing velocity can be measured.

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Diameter of Grain given Self Cleansing velocity Formula

​GoDiameter of Grain given Self Cleaning Invert Slope Formula

​GoDiameter of Grain for given Friction Factor Formula

Diameter of Grain given Self Cleansing velocity Example

Diameter of Grain given Self Cleansing velocity Solution

Diameter of Grain given Self Cleansing velocity Formula Elements

Other Formulas to find Diameter of Particle

How to Evaluate Diameter of Grain given Self Cleansing velocity?

FAQs on Diameter of Grain given Self Cleansing velocity

Variable Name

GoDiameter of Grain given Self Cleaning Invert Slope Formula

GoDiameter of Grain for given Friction Factor Formula