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 Particle*(Specific Gravity of Sediment-1))
vs = (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 refers to the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path.
Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
Hydraulic Mean Depth - (Measured in Meter) - The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
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 Particle - (Measured in Meter) - The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.
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
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 Particle: 4.8 Millimeter --> 0.0048 Meter (Check conversion ​here)
Specific Gravity of Sediment: 1.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vs = (1/n)*(m)^(1/6)*sqrt(k*d'*(G-1)) --> (1/0.015)*(10)^(1/6)*sqrt(0.04*0.0048*(1.3-1))
Evaluating ... ...
vs = 0.742654213378045
STEP 3: Convert Result to Output's Unit
0.742654213378045 Meter per Second --> No Conversion Required
FINAL ANSWER
0.742654213378045 0.742654 Meter per Second <-- Self Cleansing Velocity
(Calculation completed in 00.020 seconds)

Credits

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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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Self Cleansing Velocity Calculators

Self Cleansing Velocity given Rugosity Coefficient
​ LaTeX ​ Go Self Cleansing Velocity = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(1/6)*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))
Self Cleansing Velocity given Friction Factor
​ LaTeX ​ Go Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor)
Self Cleansing Velocity
​ LaTeX ​ Go Self Cleansing Velocity = Chezy's Constant*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))
Self Cleaning Invert Slope
​ LaTeX ​ Go Self Cleaning Invert Slope = (Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1)*Diameter of Particle

Self Cleansing Velocity given Rugosity Coefficient Formula

​LaTeX ​Go
Self Cleansing Velocity = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(1/6)*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))
vs = (1/n)*(m)^(1/6)*sqrt(k*d'*(G-1))

What is Rugosity Coefficient ?

The rugosity coefficient, often represented by Manning's n, quantifies the roughness or irregularity of a channel or pipe's interior surface, affecting fluid flow. This coefficient influences the velocity, discharge, and energy loss in hydraulic systems. It varies based on material, surface texture, and the presence of obstructions. Accurate determination of the rugosity coefficient is essential for predicting flow behavior, designing efficient water conveyance systems, and ensuring proper drainage or sewage management.

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 Particle*(Specific Gravity of Sediment-1)) to calculate the Self Cleansing Velocity, Self Cleansing Velocity given Rugosity Coefficient is defined as the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path. Self Cleansing Velocity is denoted by vs 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 Particle (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*diameter_of_the_grain*(1.3-1)).

FAQ

What is Self Cleansing Velocity given Rugosity Coefficient?
Self Cleansing Velocity given Rugosity Coefficient is defined as the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path and is represented as vs = (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 Particle*(Specific Gravity of Sediment-1)). The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance, The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels, 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), The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters & Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.
How to calculate Self Cleansing Velocity given Rugosity Coefficient?
Self Cleansing Velocity given Rugosity Coefficient is defined as the minimum speed at which fluid must flow in a sewer to prevent sediment deposition and maintain a clear path is calculated using Self Cleansing Velocity = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(1/6)*sqrt(Dimensional Constant*Diameter of Particle*(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 Particle (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 Particle & 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 Particle & 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 Particle*(Specific Gravity of Sediment-1))
  • Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor)
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