Diameter of Grain given Self Cleaning Invert Slope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of the grain = Self Cleaning Invert Slope/((Dimensional constant/Hydraulic mean depth)*(Specific gravity of sediment-1))
d' = s/((k/m)*(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 Cleaning Invert Slope - Self cleaning invert slope is the ratio of the "vertical change" to the "horizontal change" .
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).
Hydraulic mean depth - (Measured in Meter) - The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.
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 Cleaning Invert Slope: 1.5 --> No Conversion Required
Dimensional constant: 0.04 --> No Conversion Required
Hydraulic mean depth: 10 Meter --> 10 Meter No Conversion Required
Specific gravity of sediment: 1.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d' = s/((k/m)*(G-1)) --> 1.5/((0.04/10)*(1.3-1))
Evaluating ... ...
d' = 1250
STEP 3: Convert Result to Output's Unit
1250 Meter --> No Conversion Required
FINAL ANSWER
1250 Meter <-- Diameter of the grain
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2200+ more calculators!
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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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 Cleaning Invert Slope Formula

Diameter of the grain = Self Cleaning Invert Slope/((Dimensional constant/Hydraulic mean depth)*(Specific gravity of sediment-1))
d' = s/((k/m)*(G-1))

What is slope ?

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line.

How to Calculate Diameter of Grain given Self Cleaning Invert Slope?

Diameter of Grain given Self Cleaning Invert Slope calculator uses Diameter of the grain = Self Cleaning Invert Slope/((Dimensional constant/Hydraulic mean depth)*(Specific gravity of sediment-1)) to calculate the Diameter of the grain, Diameter of Grain given Self Cleaning Invert Slope calculates the diameter of the grain when we have prior information about other parameters. Diameter of the grain is denoted by d' symbol.

How to calculate Diameter of Grain given Self Cleaning Invert Slope using this online calculator? To use this online calculator for Diameter of Grain given Self Cleaning Invert Slope, enter Self Cleaning Invert Slope (s), Dimensional constant (k), Hydraulic mean depth (m) & Specific gravity of sediment (G) and hit the calculate button. Here is how the Diameter of Grain given Self Cleaning Invert Slope calculation can be explained with given input values -> 1250 = 1.5/((0.04/10)*(1.3-1)).

FAQ

What is Diameter of Grain given Self Cleaning Invert Slope?
Diameter of Grain given Self Cleaning Invert Slope calculates the diameter of the grain when we have prior information about other parameters and is represented as d' = s/((k/m)*(G-1)) or Diameter of the grain = Self Cleaning Invert Slope/((Dimensional constant/Hydraulic mean depth)*(Specific gravity of sediment-1)). Self cleaning invert slope is the ratio of the "vertical change" to the "horizontal change" , 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 Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width & Specific gravity of sediment is the ratio of density of sediment to density of standard substance.
How to calculate Diameter of Grain given Self Cleaning Invert Slope?
Diameter of Grain given Self Cleaning Invert Slope calculates the diameter of the grain when we have prior information about other parameters is calculated using Diameter of the grain = Self Cleaning Invert Slope/((Dimensional constant/Hydraulic mean depth)*(Specific gravity of sediment-1)). To calculate Diameter of Grain given Self Cleaning Invert Slope, you need Self Cleaning Invert Slope (s), Dimensional constant (k), Hydraulic mean depth (m) & Specific gravity of sediment (G). With our tool, you need to enter the respective value for Self Cleaning Invert Slope, Dimensional constant, Hydraulic mean depth & 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 Cleaning Invert Slope, Dimensional constant, Hydraulic mean depth & 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 Cleansing Velocity/Chezy's constant)^2/(Dimensional constant*(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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