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Diameter of Grain given Self Cleansing velocity Calculator

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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.ⓘ Self Cleansing Velocity [v_s]			+10% -10%
✖The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.ⓘ Chezy's Constant [C]			+10% -10%
✖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).ⓘ Dimensional Constant [k]			+10% -10%
✖Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.ⓘ Specific Gravity of Sediment [G]			+10% -10%

✖The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.ⓘ Diameter of Grain given Self Cleansing velocity [d^']

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Formula

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Diameter of Grain given Self Cleansing velocity

Formula

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

Example

4.813333 mm = \frac{{(\frac{0.114 m/s}{15})}^{2}}{0.04 \cdot (1.3 - 1)}

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Diameter of Grain given Self Cleansing velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1))
d^' = (v_s/C)^2/(k*(G-1))
This formula uses 5 Variables

Variables Used

Diameter of Particle - (Measured in Meter) - The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.
Self Cleansing Velocity - (Measured in Meter per Second) - 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.
Chezy's Constant - The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.
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).
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.

STEP 1: Convert Input(s) to Base Unit

Self Cleansing Velocity: 0.114 Meter per Second --> 0.114 Meter per Second No Conversion Required
Chezy's Constant: 15 --> No Conversion Required
Dimensional Constant: 0.04 --> No Conversion Required
Specific Gravity of Sediment: 1.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d^' = (v_s/C)^2/(k*(G-1)) --> (0.114/15)^2/(0.04*(1.3-1))

Evaluating ... ...

d^' = 0.00481333333333333

STEP 3: Convert Result to Output's Unit

0.00481333333333333 Meter -->4.81333333333333 Millimeter (Check conversion here)

FINAL ANSWER

4.81333333333333 ≈ 4.813333 Millimeter <-- Diameter of Particle

(Calculation completed in 00.004 seconds)

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< Diameter of Grain Calculators

Diameter of Grain given Rugosity Coefficient

Go Diameter of Particle = (1/(Dimensional Constant*(Specific Gravity of Sediment-1)))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2

Diameter of Grain for given Friction Factor

Go Diameter of Particle = (Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor)

Diameter of Grain given Self Cleaning Invert Slope

Go Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1))

Diameter of Grain given Self Cleansing velocity

Go Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1))

Diameter of Grain given Self Cleansing velocity Formula

Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1))
d^' = (v_s/C)^2/(k*(G-1))

What is self cleansing velocity?

Self-cleansing velocity is the minimum flow velocity required in a sewer or drainage system to prevent sediment from settling and accumulating. This ensures that the system remains clear of blockages, reducing the need for maintenance. The self-cleansing velocity depends on factors such as pipe material, diameter, and the type of sediment present. Maintaining this velocity is crucial for the efficient operation and longevity of sewer systems, as it helps prevent clogs and backups.

How to Calculate Diameter of Grain given Self Cleansing velocity?

Diameter of Grain given Self Cleansing velocity calculator uses Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1)) to calculate 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 calculate Diameter of Grain given Self Cleansing velocity using this online calculator? To use this online calculator 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. Here is how the Diameter of Grain given Self Cleansing velocity calculation can be explained with given input values -> 0.004813 = (0.114/15)^2/(0.04*(1.3-1)).

FAQ

What is Diameter of Grain given Self Cleansing velocity?

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 and is represented as d^' = (v_s/C)^2/(k*(G-1)) or Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1)). 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, The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness, 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) & Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.

How to calculate Diameter of Grain given Self Cleansing velocity?

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 is calculated using Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1)). To calculate Diameter of Grain given Self Cleansing velocity, you need Self Cleansing Velocity (v_s), Chezy's Constant (C), Dimensional Constant (k) & Specific Gravity of Sediment (G). With our tool, you need to enter the respective value for Self Cleansing Velocity, Chezy's Constant, Dimensional Constant & Specific Gravity of Sediment and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Particle?

In this formula, Diameter of Particle uses Self Cleansing Velocity, Chezy's Constant, Dimensional Constant & Specific Gravity of Sediment. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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