Diameter of Grain given Self Cleansing velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of the grain = (Self Cleansing Velocity/Chezy's constant)^2/(Dimensional constant*(Specific gravity of sediment-1))
d' = (Vs/C)^2/(k*(G-1))
This formula uses 5 Variables
Variables Used
Diameter of the grain - (Measured in Meter) - Diameter of the grain means the diameter of the particle of sediments.
Self Cleansing Velocity - (Measured in Meter per Second) - Self Cleansing Velocity is the rate of change of displacement.
Chezy's constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.
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).
Specific gravity of sediment - Specific gravity of sediment is the ratio of density of sediment to density of standard substance.
STEP 1: Convert Input(s) to Base Unit
Self Cleansing Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Chezy's constant: 15 --> No Conversion Required
Dimensional constant: 0.04 --> No Conversion Required
Specific gravity of sediment: 1.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d' = (Vs/C)^2/(k*(G-1)) --> (2/15)^2/(0.04*(1.3-1))
Evaluating ... ...
d' = 1.48148148148148
STEP 3: Convert Result to Output's Unit
1.48148148148148 Meter --> No Conversion Required
FINAL ANSWER
1.48148148148148 1.481481 Meter <-- Diameter of the grain
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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4 Diameter of Grain Calculators

Diameter of Grain given Rugosity Coefficient
Go Diameter of the grain = (1/(Dimensional constant*(Specific gravity of sediment-1)))*(Self Cleansing Velocity*Rugosity coefficient/(Hydraulic mean depth)^(1/6))^2
Diameter of Grain for given Friction Factor
Go Diameter of the grain = (Self Cleansing Velocity)^2/((8*Acceleration due to Gravity*Dimensional constant*(Specific gravity of sediment-1))/Friction Factor)
Diameter of Grain given Self Cleaning Invert Slope
Go Diameter of the grain = Self Cleaning Invert Slope/((Dimensional constant/Hydraulic mean depth)*(Specific gravity of sediment-1))
Diameter of Grain given Self Cleansing velocity
Go Diameter of the grain = (Self Cleansing Velocity/Chezy's constant)^2/(Dimensional constant*(Specific gravity of sediment-1))

Diameter of Grain given Self Cleansing velocity Formula

Diameter of the grain = (Self Cleansing Velocity/Chezy's constant)^2/(Dimensional constant*(Specific gravity of sediment-1))
d' = (Vs/C)^2/(k*(G-1))

What is sediments ?

Sediment is a naturally occurring material that is broken down by processes of weathering and erosion, and is subsequently transported by the action of wind, water, or ice or by the force of gravity acting on the particles.

How to Calculate Diameter of Grain given Self Cleansing velocity?

Diameter of Grain given Self Cleansing velocity calculator uses Diameter of the grain = (Self Cleansing Velocity/Chezy's constant)^2/(Dimensional constant*(Specific gravity of sediment-1)) to calculate the Diameter of the grain, The Diameter of Grain given Self Cleansing velocity calculates the diameter of the grains of the sediments with prior information of other parameters. Diameter of the grain is denoted by d' symbol.

How to calculate Diameter of Grain given Self Cleansing velocity using this online calculator? To use this online calculator for Diameter of Grain given Self Cleansing velocity, enter Self Cleansing Velocity (Vs), Chezy's constant (C), Dimensional constant (k) & Specific gravity of sediment (G) and hit the calculate button. Here is how the Diameter of Grain given Self Cleansing velocity calculation can be explained with given input values -> 1.481481 = (2/15)^2/(0.04*(1.3-1)).

FAQ

What is Diameter of Grain given Self Cleansing velocity?
The Diameter of Grain given Self Cleansing velocity calculates the diameter of the grains of the sediments with prior information of other parameters and is represented as d' = (Vs/C)^2/(k*(G-1)) or Diameter of the grain = (Self Cleansing Velocity/Chezy's constant)^2/(Dimensional constant*(Specific gravity of sediment-1)). Self Cleansing Velocity is the rate of change of displacement, The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula, 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) & Specific gravity of sediment is the ratio of density of sediment to density of standard substance.
How to calculate Diameter of Grain given Self Cleansing velocity?
The Diameter of Grain given Self Cleansing velocity calculates the diameter of the grains of the sediments with prior information of other parameters is calculated using Diameter of the grain = (Self Cleansing Velocity/Chezy's constant)^2/(Dimensional constant*(Specific gravity of sediment-1)). To calculate Diameter of Grain given Self Cleansing velocity, you need Self Cleansing Velocity (Vs), Chezy's constant (C), Dimensional constant (k) & Specific gravity of sediment (G). With our tool, you need to enter the respective value for Self Cleansing Velocity, Chezy's constant, Dimensional constant & 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 Diameter of the grain?
In this formula, Diameter of the grain uses Self Cleansing Velocity, Chezy's constant, Dimensional constant & Specific gravity of sediment. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diameter of the grain = Self Cleaning Invert Slope/((Dimensional constant/Hydraulic mean depth)*(Specific gravity of sediment-1))
  • Diameter of the grain = (Self Cleansing Velocity)^2/((8*Acceleration due to Gravity*Dimensional constant*(Specific gravity of sediment-1))/Friction Factor)
  • Diameter of the grain = (1/(Dimensional constant*(Specific gravity of sediment-1)))*(Self Cleansing Velocity*Rugosity coefficient/(Hydraulic mean depth)^(1/6))^2
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