Self Cleansing Velocity given Friction Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Self Cleansing Velocity = sqrt((8*Acceleration due to Gravity*Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))/Friction Factor)
Vs = sqrt((8*g*k*d'*(G-1))/f)
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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
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.
Friction Factor - The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
STEP 1: Convert Input(s) to Base Unit
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second 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
Friction Factor: 0.63 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vs = sqrt((8*g*k*d'*(G-1))/f) --> sqrt((8*9.8*0.04*3*(1.3-1))/0.63)
Evaluating ... ...
Vs = 2.11660104885167
STEP 3: Convert Result to Output's Unit
2.11660104885167 Meter per Second --> No Conversion Required
FINAL ANSWER
2.11660104885167 2.116601 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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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 Friction Factor Formula

Self Cleansing Velocity = sqrt((8*Acceleration due to Gravity*Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))/Friction Factor)
Vs = sqrt((8*g*k*d'*(G-1))/f)

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 Friction Factor?

Self Cleansing Velocity given Friction Factor calculator uses Self Cleansing Velocity = sqrt((8*Acceleration due to Gravity*Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))/Friction Factor) to calculate the Self Cleansing Velocity, Self Cleansing Velocity given Friction Factor defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. Self Cleansing Velocity is denoted by Vs symbol.

How to calculate Self Cleansing Velocity given Friction Factor using this online calculator? To use this online calculator for Self Cleansing Velocity given Friction Factor, enter Acceleration due to Gravity (g), Dimensional constant (k), Diameter of the grain (d'), Specific gravity of sediment (G) & Friction Factor (f) and hit the calculate button. Here is how the Self Cleansing Velocity given Friction Factor calculation can be explained with given input values -> 2.168871 = sqrt((8*9.8*0.04*3*(1.3-1))/0.63).

FAQ

What is Self Cleansing Velocity given Friction Factor?
Self Cleansing Velocity given Friction Factor defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes and is represented as Vs = sqrt((8*g*k*d'*(G-1))/f) or Self Cleansing Velocity = sqrt((8*Acceleration due to Gravity*Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))/Friction Factor). Acceleration due to Gravity is acceleration gained by an object because of gravitational force, 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 & The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
How to calculate Self Cleansing Velocity given Friction Factor?
Self Cleansing Velocity given Friction Factor defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes is calculated using Self Cleansing Velocity = sqrt((8*Acceleration due to Gravity*Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))/Friction Factor). To calculate Self Cleansing Velocity given Friction Factor, you need Acceleration due to Gravity (g), Dimensional constant (k), Diameter of the grain (d'), Specific gravity of sediment (G) & Friction Factor (f). With our tool, you need to enter the respective value for Acceleration due to Gravity, Dimensional constant, Diameter of the grain, Specific gravity of sediment & Friction Factor 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 Acceleration due to Gravity, Dimensional constant, Diameter of the grain, Specific gravity of sediment & Friction Factor. 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 = (1/Rugosity coefficient)*(Hydraulic mean depth)^(1/6)*sqrt(Dimensional constant*Diameter of the grain*(Specific gravity of sediment-1))
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