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Diameter of Grain given Self Cleaning Invert Slope Calculator

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✖The Self Cleaning Invert Slope refers to the minimum slope required in a sewer to maintain flow velocity that prevents sediment buildup.ⓘ Self Cleaning Invert Slope [sL_I]			+10% -10%
✖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 Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.ⓘ Hydraulic Mean Depth [m]			+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 Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.ⓘ Diameter of Grain given Self Cleaning Invert Slope [d^']

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Diameter of Grain given Self Cleaning Invert Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1))
d^' = sL_I/((k/m)*(G-1))
This formula uses 5 Variables

Variables Used

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.
Self Cleaning Invert Slope - The Self Cleaning Invert Slope refers to the minimum slope required in a sewer to maintain flow velocity that prevents sediment buildup.
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 refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
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 Cleaning Invert Slope: 5.76E-06 --> 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^' = sL_I/((k/m)*(G-1)) --> 5.76E-06/((0.04/10)*(1.3-1))

Evaluating ... ...

d^' = 0.0048

STEP 3: Convert Result to Output's Unit

0.0048 Meter -->4.8 Millimeter (Check conversion here)

FINAL ANSWER

4.8 Millimeter <-- Diameter of Particle

(Calculation completed in 00.007 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Diameter of Grain Calculators

Diameter of Grain given Rugosity Coefficient

LaTeX Go Diameter of Particle = (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

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

Diameter of Grain given Self Cleaning Invert Slope

LaTeX Go Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1))

Diameter of Grain given Self Cleansing velocity

LaTeX Go Diameter of Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1))

Diameter of Grain given Self Cleaning Invert Slope Formula

LaTeX Go

Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1))
d^' = sL_I/((k/m)*(G-1))

What is Self Cleaning Invert Slope?

The self-cleaning invert slope is the minimum slope needed in a sewer or drainage system to ensure that the flow velocity is high enough to prevent sediment from settling. This slope helps maintain a self-cleaning condition, reducing the risk of blockages and minimizing maintenance needs. The required slope depends on factors such as pipe material, diameter, flow rate, and sediment type, and is critical for the efficient and long-term operation of sewer systems.

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

Diameter of Grain given Self Cleaning Invert Slope calculator uses Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1)) to calculate the Diameter of Particle, Diameter of Grain given Self Cleaning Invert Slope is defined as the straight-line distance across its widest point, typically measured in micrometers or millimeters. Diameter of Particle 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 (sL_I), 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 -> 1.3E+9 = self_cleaning_invert_slope/((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 is defined as the straight-line distance across its widest point, typically measured in micrometers or millimeters and is represented as d^' = sL_I/((k/m)*(G-1)) or Diameter of Particle = Self Cleaning Invert Slope/((Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1)). The Self Cleaning Invert Slope refers to the minimum slope required in a sewer to maintain flow velocity that prevents sediment buildup, 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 refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels & Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.

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

Diameter of Grain given Self Cleaning Invert Slope is defined as the straight-line distance across its widest point, typically measured in micrometers or millimeters is calculated using Diameter of Particle = 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 (sL_I), 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 Particle?

In this formula, Diameter of Particle 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 Particle = (Self Cleansing Velocity/Chezy's Constant)^2/(Dimensional Constant*(Specific Gravity of Sediment-1))
Diameter of Particle = (Self Cleansing Velocity)^2/((8*[g]*Dimensional Constant*(Specific Gravity of Sediment-1))/Friction Factor)
Diameter of Particle = (1/(Dimensional Constant*(Specific Gravity of Sediment-1)))*((Self Cleansing Velocity*Rugosity Coefficient)/(Hydraulic Mean Depth)^(1/6))^2

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