Self Cleansing Velocity given Rugosity Coefficient Calculator

✖Rugosity coefficient depend upon the type of channel surface.ⓘ Rugosity coefficient [n]			+10% -10%
✖The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.ⓘ Hydraulic mean depth [m]			+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 given Rugosity Coefficient [V_s]

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Self Cleansing Velocity given Rugosity Coefficient

Formula

`"V"_{"s"} = (1/"n")*("m")^(1/6)*sqrt("k"*"d"^{"'"}*("G"-1))`

Example

`"18.56636m/s"=(1/"0.015")*("10m")^(1/6)*sqrt("0.04"*"3m"*("1.3"-1))`

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Self Cleansing Velocity given Rugosity Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Self Cleansing Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(1/6)*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))
V_s = (1/n)*(m)^(1/6)*sqrt(k*d^'*(G-1))
This formula uses 1 Functions, 6 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.
Rugosity coefficient - Rugosity coefficient depend upon the type of channel surface.
Hydraulic mean depth - (Measured in Meter) - The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.
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

Rugosity coefficient: 0.015 --> No Conversion Required
Hydraulic mean depth: 10 Meter --> 10 Meter 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 = (1/n)*(m)^(1/6)*sqrt(k*d^'*(G-1)) --> (1/0.015)*(10)^(1/6)*sqrt(0.04*3*(1.3-1))

Evaluating ... ...

V_s = 18.5663553344511

STEP 3: Convert Result to Output's Unit

18.5663553344511 Meter per Second --> No Conversion Required

FINAL ANSWER

18.5663553344511 ≈ 18.56636 Meter per Second <-- Self Cleansing Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Minimum Velocity to be Generated in Sewers » Self Cleansing Velocity » Self Cleansing Velocity given Rugosity Coefficient

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 given Rugosity Coefficient Formula

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 given Rugosity Coefficient?

Self Cleansing Velocity given Rugosity Coefficient calculator uses Self Cleansing Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(1/6)*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1)) to calculate the Self Cleansing Velocity, Self Cleansing Velocity given Rugosity Coefficient is 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 given Rugosity Coefficient using this online calculator? To use this online calculator for Self Cleansing Velocity given Rugosity Coefficient, enter Rugosity coefficient (n), Hydraulic mean depth (m), 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 given Rugosity Coefficient calculation can be explained with given input values -> 18.56636 = (1/0.015)*(10)^(1/6)*sqrt(0.04*3*(1.3-1)).

FAQ

What is Self Cleansing Velocity given Rugosity Coefficient?

Self Cleansing Velocity given Rugosity Coefficient is defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes and is represented as V_s = (1/n)*(m)^(1/6)*sqrt(k*d^'*(G-1)) or Self Cleansing Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(1/6)*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1)). Rugosity coefficient depend upon the type of channel surface, The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width, 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 given Rugosity Coefficient?

Self Cleansing Velocity given Rugosity Coefficient is defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes is calculated using Self Cleansing Velocity = (1/Rugosity coefficient)*(Hydraulic mean depth)^(1/6)*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1)). To calculate Self Cleansing Velocity given Rugosity Coefficient, you need Rugosity coefficient (n), Hydraulic mean depth (m), Dimensional constant (k), Diameter of the grain (d^') & Specific gravity of sediment (G). With our tool, you need to enter the respective value for Rugosity coefficient, Hydraulic mean depth, 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 Rugosity coefficient, Hydraulic mean depth, 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 = Chezy's constant*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))
Self Cleansing Velocity = sqrt((8*Acceleration due to Gravity*Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))/Friction Factor)

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