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Diameter of Grain given Self Cleaning Invert Slope Formula

GoDiameter of Grain given Self Cleansing velocity 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{sL I}{(\frac{k}{m}) \cdot (G - 1)}

d^' - Diameter of Particle?sL_I - Self Cleaning Invert Slope?k - Dimensional Constant?m - Hydraulic Mean Depth?G - Specific Gravity of Sediment?

Diameter of Grain given Self Cleaning Invert Slope Example

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Here is how the Diameter of Grain given Self Cleaning Invert Slope equation looks like with Values.

Here is how the Diameter of Grain given Self Cleaning Invert Slope equation looks like with Units.

Here is how the Diameter of Grain given Self Cleaning Invert Slope equation looks like.

4.8 = \frac{5.8E-6}{(\frac{0.04}{10}) \cdot (1.3 - 1)}

4.8mm = \frac{5.8E-6}{(\frac{0.04}{10m}) \cdot (1.3 - 1)}

4.8 = \frac{5.8E-6}{(\frac{0.04}{10}) \cdot (1.3 - 1)}

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Diameter of Grain given Self Cleaning Invert Slope Solution

Follow our step by step solution on how to calculate Diameter of Grain given Self Cleaning Invert Slope?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d' = \frac{5.8E-6}{(\frac{0.04}{10m}) \cdot (1.3 - 1)}

Next Step Prepare to Evaluate

∴

d' = \frac{5.8E-6}{(\frac{0.04}{10}) \cdot (1.3 - 1)}

Next Step Evaluate

∴

d' = 0.0048m

LAST Step Convert to Output's Unit

∴

d' = 4.8mm

Diameter of Grain given Self Cleaning Invert Slope 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 Cleaning Invert Slope

The Self Cleaning Invert Slope refers to the minimum slope required in a sewer to maintain flow velocity that prevents sediment buildup.

Symbol: sL_I

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Self Cleaning Invert Slope

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

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

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 Cleansing velocity

d' = \frac{{(\frac{v s}{C})}^{2}}{k \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 Cleaning Invert Slope?

Diameter of Grain given Self Cleaning Invert Slope evaluator uses Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1)) to evaluate the Diameter of Particle, Diameter of Grain given Self Cleaning Invert Slope 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 Cleaning Invert Slope using this online evaluator? To use this online evaluator for Diameter of Grain given Self Cleaning Invert Slope, enter Self Cleaning Invert Slope (sL_I), Dimensional Constant (k), Hydraulic Mean Depth (m) & Specific Gravity of Sediment (G) and hit the calculate button.

FAQs on Diameter of Grain given Self Cleaning Invert Slope

What is the formula to find Diameter of Grain given Self Cleaning Invert Slope?

The formula of Diameter of Grain given Self Cleaning Invert Slope is expressed as Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1)). Here is an example- 1.3E+9 = self_cleaning_invert_slope/((0.04/10)*(1.3-1)).

How to calculate Diameter of Grain given Self Cleaning Invert Slope?

With Self Cleaning Invert Slope (sL_I), Dimensional Constant (k), Hydraulic Mean Depth (m) & Specific Gravity of Sediment (G) we can find Diameter of Grain given Self Cleaning Invert Slope using the formula - Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(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 Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(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 Cleaning Invert Slope be negative?

No, the Diameter of Grain given Self Cleaning Invert Slope, measured in Length cannot be negative.

Which unit is used to measure Diameter of Grain given Self Cleaning Invert Slope?

Diameter of Grain given Self Cleaning Invert Slope 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 Cleaning Invert Slope can be measured.

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Diameter of Grain given Self Cleaning Invert Slope Formula

​GoDiameter of Grain given Self Cleansing velocity Formula

​GoDiameter of Grain for given Friction Factor Formula

Diameter of Grain given Self Cleaning Invert Slope Example

Diameter of Grain given Self Cleaning Invert Slope Solution

Diameter of Grain given Self Cleaning Invert Slope Formula Elements

Other Formulas to find Diameter of Particle

How to Evaluate Diameter of Grain given Self Cleaning Invert Slope?

FAQs on Diameter of Grain given Self Cleaning Invert Slope

Variable Name

GoDiameter of Grain given Self Cleansing velocity Formula

GoDiameter of Grain for given Friction Factor Formula