Chezy's Constant given Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Chezy's Constant = Self Cleansing Velocity/(sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))
C = vs/(sqrt(k*d'*(G-1)))
This formula uses 1 Functions, 5 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
Chezy's Constant - The Chezy's Constant refers to an empirical coefficient used to determine flow velocity in open channels, adjusting for roughness.
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.
STEP 1: Convert Input(s) to Base Unit
Self Cleansing Velocity: 0.114 Meter per Second --> 0.114 Meter per Second 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
C = vs/(sqrt(k*d'*(G-1))) --> 0.114/(sqrt(0.04*0.0048*(1.3-1)))
Evaluating ... ...
C = 15.0208188857998
STEP 3: Convert Result to Output's Unit
15.0208188857998 --> No Conversion Required
FINAL ANSWER
15.0208188857998 15.02082 <-- Chezy's Constant
(Calculation completed in 00.004 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)

Chezy's Constant given Self Cleansing Velocity Formula

​LaTeX ​Go
Chezy's Constant = Self Cleansing Velocity/(sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))
C = vs/(sqrt(k*d'*(G-1)))

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 Chezy's Constant given Self Cleansing Velocity?

Chezy's Constant given Self Cleansing Velocity calculator uses Chezy's Constant = Self Cleansing Velocity/(sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))) to calculate the Chezy's Constant, The Chezy's Constant given Self Cleansing Velocity is defined as flow resistance in open channels, relating flow velocity to the hydraulic radius and channel slope. Chezy's Constant is denoted by C symbol.

How to calculate Chezy's Constant given Self Cleansing Velocity using this online calculator? To use this online calculator for Chezy's Constant given Self Cleansing Velocity, enter Self Cleansing Velocity (vs), Dimensional Constant (k), Diameter of Particle (d') & Specific Gravity of Sediment (G) and hit the calculate button. Here is how the Chezy's Constant given Self Cleansing Velocity calculation can be explained with given input values -> 0.600833 = 0.114/(sqrt(0.04*diameter_of_the_grain*(1.3-1))).

FAQ

What is Chezy's Constant given Self Cleansing Velocity?
The Chezy's Constant given Self Cleansing Velocity is defined as flow resistance in open channels, relating flow velocity to the hydraulic radius and channel slope and is represented as C = vs/(sqrt(k*d'*(G-1))) or Chezy's Constant = Self Cleansing Velocity/(sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))). 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 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 Chezy's Constant given Self Cleansing Velocity?
The Chezy's Constant given Self Cleansing Velocity is defined as flow resistance in open channels, relating flow velocity to the hydraulic radius and channel slope is calculated using Chezy's Constant = Self Cleansing Velocity/(sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))). To calculate Chezy's Constant given Self Cleansing Velocity, you need Self Cleansing Velocity (vs), Dimensional Constant (k), Diameter of Particle (d') & Specific Gravity of Sediment (G). With our tool, you need to enter the respective value for Self Cleansing Velocity, 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 Chezy's Constant?
In this formula, Chezy's Constant uses Self Cleansing Velocity, Dimensional Constant, Diameter of Particle & Specific Gravity of Sediment. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Chezy's Constant = sqrt((8*[g])/Friction Factor)
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