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Self Cleansing Velocity given Rugosity Coefficient Calculator

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✖The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.ⓘ Rugosity Coefficient [n]			+10% -10%
✖The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.ⓘ 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%
✖The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.ⓘ Diameter of Particle [d^']			+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%

✖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 given Rugosity Coefficient [v_s]

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Formula

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Self Cleansing Velocity given Rugosity Coefficient

Formula

v s = (\frac{1}{n}) \cdot {(m)}^{\frac{1}{6}} \cdot \sqrt{k \cdot d' \cdot (G - 1)}

Example

0.742654 m/s = (\frac{1}{0.015}) \cdot {(10 m)}^{\frac{1}{6}} \cdot \sqrt{0.04 \cdot 4.8 mm \cdot (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 Particle*(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 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

v_s = (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 ... ...

v_s = 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)

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Birsa Institute of Technology (BIT), Sindri

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< 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 Particle*(Specific Gravity of Sediment-1))

Self Cleansing Velocity given Friction Factor

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

Self Cleansing Velocity

Go Self Cleansing Velocity = Chezy's Constant*sqrt(Dimensional Constant*Diameter of Particle*(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 Particle

Self Cleansing Velocity given Rugosity Coefficient Formula

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 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 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 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 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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