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Hydraulic Mean Depth given Self Cleansing Velocity Calculator

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✖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.ⓘ Self Cleansing Velocity [v_s]			+10% -10%
✖The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.ⓘ Rugosity Coefficient [n]			+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 Diameter of Particle is the straight-line distance across its widest point, typically measured in micrometers or millimeters.ⓘ Diameter of Particle [d^']			+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 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 given Self Cleansing Velocity [m]

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Formula

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Hydraulic Mean Depth given Self Cleansing Velocity

Formula

m = {(\frac{v s \cdot n}{\sqrt{k \cdot d' \cdot (G - 1)}})}^{6}

Example

0.000131 m = {(\frac{0.114 m/s \cdot 0.015}{\sqrt{0.04 \cdot 4.8 mm \cdot (1.3 - 1)}})}^{6}

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Hydraulic Mean Depth given Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Mean Depth = ((Self Cleansing Velocity*Rugosity Coefficient)/sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))^6
m = ((v_s*n)/sqrt(k*d^'*(G-1)))^6
This formula uses 1 Functions, 6 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

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.
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.
Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
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
Rugosity Coefficient: 0.015 --> 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

m = ((v_s*n)/sqrt(k*d^'*(G-1)))^6 --> ((0.114*0.015)/sqrt(0.04*0.0048*(1.3-1)))^6

Evaluating ... ...

m = 0.000130830563541412

STEP 3: Convert Result to Output's Unit

0.000130830563541412 Meter --> No Conversion Required

FINAL ANSWER

0.000130830563541412 ≈ 0.000131 Meter <-- Hydraulic Mean Depth

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Hydraulic Mean Depth Calculators

Hydraulic Mean Depth given Self Cleansing Velocity

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

Hydraulic Mean Depth given Self Cleaning Invert Slope

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

Hydraulic Mean Depth of Channel given Drag Force

Go Hydraulic Mean Depth = Drag Force/(Unit Weight of Fluid*Bed Slope of a Sewer)

Hydraulic Mean Depth given Self Cleansing Velocity Formula

Hydraulic Mean Depth = ((Self Cleansing Velocity*Rugosity Coefficient)/sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))^6
m = ((v_s*n)/sqrt(k*d^'*(G-1)))^6

What is self cleansing velocity ?

Self-cleansing velocity is the minimum flow velocity required in a sewer or drainage system to prevent sediment from settling and accumulating. This ensures that the system remains clear of blockages, reducing the need for maintenance. The self-cleansing velocity depends on factors such as pipe material, diameter, and the type of sediment present. Maintaining this velocity is crucial for the efficient operation and longevity of sewer systems, as it helps prevent clogs and backups.

How to Calculate Hydraulic Mean Depth given Self Cleansing Velocity?

Hydraulic Mean Depth given Self Cleansing Velocity calculator uses Hydraulic Mean Depth = ((Self Cleansing Velocity*Rugosity Coefficient)/sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))^6 to calculate the Hydraulic Mean Depth, The Hydraulic Mean Depth given Self Cleansing Velocity is defined as the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels. Hydraulic Mean Depth is denoted by m symbol.

How to calculate Hydraulic Mean Depth given Self Cleansing Velocity using this online calculator? To use this online calculator for Hydraulic Mean Depth given Self Cleansing Velocity, enter Self Cleansing Velocity (v_s), Rugosity Coefficient (n), Dimensional Constant (k), Diameter of Particle (d^') & Specific Gravity of Sediment (G) and hit the calculate button. Here is how the Hydraulic Mean Depth given Self Cleansing Velocity calculation can be explained with given input values -> 0.000131 = ((0.114*0.015)/sqrt(0.04*0.0048*(1.3-1)))^6.

FAQ

What is Hydraulic Mean Depth given Self Cleansing Velocity?

The Hydraulic Mean Depth given Self Cleansing Velocity is defined as the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels and is represented as m = ((v_s*n)/sqrt(k*d^'*(G-1)))^6 or Hydraulic Mean Depth = ((Self Cleansing Velocity*Rugosity Coefficient)/sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))^6. 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, The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance, 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 Hydraulic Mean Depth given Self Cleansing Velocity?

The Hydraulic Mean Depth given Self Cleansing Velocity is defined as the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels is calculated using Hydraulic Mean Depth = ((Self Cleansing Velocity*Rugosity Coefficient)/sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))^6. To calculate Hydraulic Mean Depth given Self Cleansing Velocity, you need Self Cleansing Velocity (v_s), Rugosity Coefficient (n), 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, Rugosity Coefficient, 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 Hydraulic Mean Depth?

In this formula, Hydraulic Mean Depth uses Self Cleansing Velocity, Rugosity Coefficient, Dimensional Constant, Diameter of Particle & Specific Gravity of Sediment. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hydraulic Mean Depth = Drag Force/(Unit Weight of Fluid*Bed Slope of a Sewer)
Hydraulic Mean Depth = (Dimensional Constant/Self Cleaning Invert Slope)*(Specific Gravity of Sediment-1)*Diameter of Particle

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