Friction Factor given Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Friction Factor = (8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/(Self Cleansing Velocity)^2
f' = (8*[g]*k*d'*(G-1))/(vs)^2
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Friction Factor - The Friction Factor quantifies resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity.
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.
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.
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
Self Cleansing Velocity: 0.114 Meter per Second --> 0.114 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f' = (8*[g]*k*d'*(G-1))/(vs)^2 --> (8*[g]*0.04*0.0048*(1.3-1))/(0.114)^2
Evaluating ... ...
f' = 0.347715013850416
STEP 3: Convert Result to Output's Unit
0.347715013850416 --> No Conversion Required
FINAL ANSWER
0.347715013850416 0.347715 <-- Friction Factor
(Calculation completed in 00.020 seconds)

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Minimum Velocity to be Generated in Sewers Calculators

Chezy's Constant given Self Cleansing Velocity
​ LaTeX ​ Go Chezy's Constant = Self Cleansing Velocity/(sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))
Unit Weight of Water given Hydraulic Mean Depth
​ LaTeX ​ Go Unit Weight of Fluid = Drag Force/(Hydraulic Mean Depth*Bed Slope of a Sewer)
Chezy's Constant given Friction Factor
​ LaTeX ​ Go Chezy's Constant = sqrt((8*[g])/Friction Factor)
Cross Sectional Area of Flow given Hydraulic Mean Radius of Channel
​ LaTeX ​ Go Wetted Area = (Hydraulic Mean Depth*Wetted Perimeter)

Friction Factor given Self Cleansing Velocity Formula

​LaTeX ​Go
Friction Factor = (8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/(Self Cleansing Velocity)^2
f' = (8*[g]*k*d'*(G-1))/(vs)^2

What is self cleansing velocity ?

Self-cleansing velocity is the minimum flow velocity required in a sewer or drainage system to prevent sediment from settling and accumulating. This ensures that the system remains clear of blockages, reducing the need for maintenance. The self-cleansing velocity depends on factors such as pipe material, diameter, and the type of sediment present. Maintaining this velocity is crucial for the efficient operation and longevity of sewer systems, as it helps prevent clogs and backups.

How to Calculate Friction Factor given Self Cleansing Velocity?

Friction Factor given Self Cleansing Velocity calculator uses Friction Factor = (8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/(Self Cleansing Velocity)^2 to calculate the Friction Factor, The Friction Factor given Self Cleansing velocity is defined for resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity. Friction Factor is denoted by f' symbol.

How to calculate Friction Factor given Self Cleansing Velocity using this online calculator? To use this online calculator for Friction Factor given Self Cleansing Velocity, enter Dimensional Constant (k), Diameter of Particle (d'), Specific Gravity of Sediment (G) & Self Cleansing Velocity (vs) and hit the calculate button. Here is how the Friction Factor given Self Cleansing Velocity calculation can be explained with given input values -> 217.3219 = (8*[g]*0.04*diameter_of_the_grain*(1.3-1))/(0.114)^2.

FAQ

What is Friction Factor given Self Cleansing Velocity?
The Friction Factor given Self Cleansing velocity is defined for resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity and is represented as f' = (8*[g]*k*d'*(G-1))/(vs)^2 or Friction Factor = (8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/(Self Cleansing Velocity)^2. 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 & 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.
How to calculate Friction Factor given Self Cleansing Velocity?
The Friction Factor given Self Cleansing velocity is defined for resistance to flow in a pipe due to surface roughness, impacting energy loss and velocity is calculated using Friction Factor = (8*[g]*Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))/(Self Cleansing Velocity)^2. To calculate Friction Factor given Self Cleansing Velocity, you need Dimensional Constant (k), Diameter of Particle (d'), Specific Gravity of Sediment (G) & Self Cleansing Velocity (vs). With our tool, you need to enter the respective value for Dimensional Constant, Diameter of Particle, Specific Gravity of Sediment & Self Cleansing Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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