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Self Cleaning Invert Slope Calculator

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✖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 Particle [d^']			+10% -10%

✖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]

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Formula

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Self Cleaning Invert Slope

Formula

sL I = (\frac{k}{m}) \cdot (G - 1) \cdot d'

Example

5.8E-6 = (\frac{0.04}{10 m}) \cdot (1.3 - 1) \cdot 4.8 mm

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Self Cleaning Invert Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Diameter of Particle: 4.8 Millimeter --> 0.0048 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

sL_I = (k/m)*(G-1)*d^' --> (0.04/10)*(1.3-1)*0.0048

Evaluating ... ...

sL_I = 5.76E-06

STEP 3: Convert Result to Output's Unit

5.76E-06 --> No Conversion Required

FINAL ANSWER

5.76E-06 ≈ 5.8E-6 <-- Self Cleaning Invert Slope

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Self Cleansing Velocity Calculators

Self Cleansing Velocity given Rugosity Coefficient

Go Self Cleansing Velocity = (1/Rugosity Coefficient)*(Hydraulic Mean Depth)^(1/6)*sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1))

Self Cleansing Velocity given Friction Factor

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

Self Cleansing Velocity

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

Self Cleaning Invert Slope

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

Self Cleaning Invert Slope Formula

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

What is hydraulic mean depth?

Hydraulic mean depth, or hydraulic radius, is the ratio of the cross-sectional area of fluid flow to the wetted perimeter in a channel or pipe. It's a key parameter in fluid dynamics, used to determine flow characteristics like velocity and discharge. In open channel flow, it influences resistance, energy loss, and overall efficiency, making it vital for designing and analyzing water conveyance systems.

How to Calculate Self Cleaning Invert Slope?

Self Cleaning Invert Slope calculator uses Self Cleaning Invert Slope = (Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1)*Diameter of Particle to calculate the Self Cleaning Invert Slope, The Self Cleaning Invert Slope defined as the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Self Cleaning Invert Slope is denoted by sL_I symbol.

How to calculate Self Cleaning Invert Slope using this online calculator? To use this online calculator for Self Cleaning Invert Slope, enter Dimensional Constant (k), Hydraulic Mean Depth (m), Specific Gravity of Sediment (G) & Diameter of Particle (d^') and hit the calculate button. Here is how the Self Cleaning Invert Slope calculation can be explained with given input values -> 5.8E-6 = (0.04/10)*(1.3-1)*0.0048.

FAQ

What is Self Cleaning Invert Slope?

The Self Cleaning Invert Slope defined as the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line and is represented as sL_I = (k/m)*(G-1)*d^' or Self Cleaning Invert Slope = (Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1)*Diameter of Particle. 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 & The Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.

How to calculate Self Cleaning Invert Slope?

The Self Cleaning Invert Slope defined as the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line is calculated using Self Cleaning Invert Slope = (Dimensional Constant/Hydraulic Mean Depth)*(Specific Gravity of Sediment-1)*Diameter of Particle. To calculate Self Cleaning Invert Slope, you need Dimensional Constant (k), Hydraulic Mean Depth (m), Specific Gravity of Sediment (G) & Diameter of Particle (d^'). With our tool, you need to enter the respective value for Dimensional Constant, Hydraulic Mean Depth, Specific Gravity of Sediment & Diameter of Particle 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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