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Self Cleansing Velocity given Friction Factor Calculator

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✖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%
✖The Friction Factor quantifies resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity.ⓘ Friction Factor [f']			+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 Friction Factor [v_s]

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Self Cleansing Velocity given Friction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor)
v_s = sqrt((8*[g]*k*d^'*(G-1))/f')
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

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.
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.
Friction Factor - The Friction Factor quantifies resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity.

STEP 1: Convert Input(s) to Base Unit

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
Friction Factor: 0.348 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_s = sqrt((8*[g]*k*d^'*(G-1))/f') --> sqrt((8*[g]*0.04*0.0048*(1.3-1))/0.348)

Evaluating ... ...

v_s = 0.113953311673594

STEP 3: Convert Result to Output's Unit

0.113953311673594 Meter per Second --> No Conversion Required

FINAL ANSWER

0.113953311673594 ≈ 0.113953 Meter per Second <-- Self Cleansing Velocity

(Calculation completed in 00.022 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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 Friction Factor Formula

LaTeX Go

Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor)
v_s = sqrt((8*[g]*k*d^'*(G-1))/f')

What is friction factor ?

The friction factor is a dimensionless number that quantifies the resistance to flow within a pipe or channel due to surface roughness and fluid viscosity. It's crucial in calculating head loss and energy dissipation in fluid systems, influencing flow efficiency. The friction factor is typically determined using the Darcy-Weisbach equation or empirical correlations like the Moody chart, depending on flow conditions such as Reynolds number and relative roughness.

How to Calculate Self Cleansing Velocity given Friction Factor?

Self Cleansing Velocity given Friction Factor calculator uses Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor) to calculate the Self Cleansing Velocity, Self Cleansing Velocity given Friction Factor 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 Friction Factor using this online calculator? To use this online calculator for Self Cleansing Velocity given Friction Factor, enter Dimensional Constant (k), Diameter of Particle (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 -> 2.848833 = sqrt((8*[g]*0.04*diameter_of_the_grain*(1.3-1))/0.348).

FAQ

What is Self Cleansing Velocity given Friction Factor?

Self Cleansing Velocity given Friction Factor 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 = sqrt((8*[g]*k*d^'*(G-1))/f') or Self Cleansing Velocity = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor). 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 & The Friction Factor quantifies resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity.

How to calculate Self Cleansing Velocity given Friction Factor?

Self Cleansing Velocity given Friction Factor 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 = sqrt((8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/Friction Factor). To calculate Self Cleansing Velocity given Friction Factor, you need Dimensional Constant (k), Diameter of Particle (d^'), Specific Gravity of Sediment (G) & Friction Factor (f'). With our tool, you need to enter the respective value for Dimensional Constant, Diameter of Particle, 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 Dimensional Constant, Diameter of Particle, 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 Particle*(Specific Gravity of Sediment-1))
Self Cleansing Velocity = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(1/6)*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))

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