Self Cleansing Velocity Calculator

✖The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.ⓘ 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%
✖Diameter of the grain means the diameter of the particle of sediments.ⓘ Diameter of the grain [d^']			+10% -10%
✖Specific gravity of sediment is the ratio of density of sediment to density of standard substance.ⓘ Specific gravity of sediment [G]			+10% -10%

✖Self Cleansing Velocity is the rate of change of displacement.ⓘ Self Cleansing Velocity [V_s]

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Formula

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Self Cleansing Velocity

Formula

`"V"_{"s"} = "C"*sqrt("k"*"d"^{"'"}*("G"-1))`

Example

`"2.84605m/s"="15"*sqrt("0.04"*"3m"*("1.3"-1))`

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Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Self Cleansing Velocity = Chezy's constant*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))
V_s = C*sqrt(k*d^'*(G-1))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Self Cleansing Velocity - (Measured in Meter per Second) - Self Cleansing Velocity is the rate of change of displacement.
Chezy's constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.
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).
Diameter of the grain - (Measured in Meter) - Diameter of the grain means the diameter of the particle of sediments.
Specific gravity of sediment - Specific gravity of sediment is the ratio of density of sediment to density of standard substance.

STEP 1: Convert Input(s) to Base Unit

Chezy's constant: 15 --> No Conversion Required
Dimensional constant: 0.04 --> No Conversion Required
Diameter of the grain: 3 Meter --> 3 Meter No Conversion Required
Specific gravity of sediment: 1.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = C*sqrt(k*d^'*(G-1)) --> 15*sqrt(0.04*3*(1.3-1))

Evaluating ... ...

V_s = 2.84604989415154

STEP 3: Convert Result to Output's Unit

2.84604989415154 Meter per Second --> No Conversion Required

FINAL ANSWER

2.84604989415154 ≈ 2.84605 Meter per Second <-- Self Cleansing Velocity

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 4 Self Cleansing Velocity Calculators

Self Cleansing Velocity given Rugosity Coefficient

Go Self Cleansing Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(1/6)*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))

Self Cleansing Velocity given Friction Factor

Go Self Cleansing Velocity = sqrt((8*Acceleration due to Gravity*Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))/Friction Factor)

Self Cleansing Velocity

Go Self Cleansing Velocity = Chezy's constant*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))

Self Cleaning Invert Slope

Go Self Cleaning Invert Slope = (Dimensional constant/Hydraulic mean depth)*(Specific gravity of sediment-1)*Diameter of the grain

Self Cleansing Velocity Formula

Self Cleansing Velocity = Chezy's constant*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))
V_s = C*sqrt(k*d^'*(G-1))

What is self cleansing velocity ?

The criterion for self-cleansing was defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. For a given sediment concentration the self-cleansing velocity was found to be a maximum at pipe slopes between about 30° and 37.5°.

How to Calculate Self Cleansing Velocity?

Self Cleansing Velocity calculator uses Self Cleansing Velocity = Chezy's constant*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1)) to calculate the Self Cleansing Velocity, The Self Cleansing Velocity defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. Self Cleansing Velocity is denoted by V_s symbol.

How to calculate Self Cleansing Velocity using this online calculator? To use this online calculator for Self Cleansing Velocity, enter Chezy's constant (C), Dimensional constant (k), Diameter of the grain (d^') & Specific gravity of sediment (G) and hit the calculate button. Here is how the Self Cleansing Velocity calculation can be explained with given input values -> 2.84605 = 15*sqrt(0.04*3*(1.3-1)).

FAQ

What is Self Cleansing Velocity?

The Self Cleansing Velocity defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes and is represented as V_s = C*sqrt(k*d^'*(G-1)) or Self Cleansing Velocity = Chezy's constant*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1)). The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula, 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), Diameter of the grain means the diameter of the particle of sediments & Specific gravity of sediment is the ratio of density of sediment to density of standard substance.

How to calculate Self Cleansing Velocity?

The Self Cleansing Velocity defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes is calculated using Self Cleansing Velocity = Chezy's constant*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1)). To calculate Self Cleansing Velocity, you need Chezy's constant (C), Dimensional constant (k), Diameter of the grain (d^') & Specific gravity of sediment (G). With our tool, you need to enter the respective value for Chezy's constant, Dimensional constant, Diameter of the grain & 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 Self Cleansing Velocity?

In this formula, Self Cleansing Velocity uses Chezy's constant, Dimensional constant, Diameter of the grain & Specific gravity of sediment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Self Cleansing Velocity = sqrt((8*Acceleration due to Gravity*Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))/Friction Factor)
Self Cleansing Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(1/6)*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))

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