Self Cleansing Velocity given Bed Slope for Partial Flow Calculator

✖Velocity while running full means when velocity of water through pipe while running full.ⓘ Velocity while running full [V]			+10% -10%
✖Roughness coefficient full means roughness coefficient of pipe while running full.ⓘ Roughness coefficient full [N]			+10% -10%
✖Roughness coefficient partially full means roughness coefficient of pipe while running partially full.ⓘ Roughness coefficient partially full [n]			+10% -10%
✖Hydraulic mean depth while running partially full.ⓘ Hydraulic mean depth [r]			+10% -10%
✖Hydraulic mean depth while running full means hmd of pipe while running full.ⓘ Hydraulic mean depth while running full [R]			+10% -10%
✖Bed slope of partial flow means the slope at which partial flow is occuring.ⓘ Bed slope of partial flow [s_s]			+10% -10%
✖Bed slope of the sewer under consideration.ⓘ Bed slope [s]			+10% -10%

✖Self Cleansing Velocity is the rate of change of displacement.ⓘ Self Cleansing Velocity given Bed Slope for Partial Flow [V_s]

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Formula

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Self Cleansing Velocity given Bed Slope for Partial Flow

Formula

`"V"_{"s"} = "V"*(("N"/"n")*("r"/"R")^(2/3)*sqrt("s"_{"s"}/"s"))`

Example

`"7.667081m/s"="10m/s"*(("0.97"/"0.9")*("3m"/"5m")^(2/3)*sqrt("2"/"2"))`

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Self Cleansing Velocity given Bed Slope for Partial Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Self Cleansing Velocity = Velocity while running full*((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope of partial flow/Bed slope))
V_s = V*((N/n)*(r/R)^(2/3)*sqrt(s_s/s))
This formula uses 1 Functions, 8 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

Self Cleansing Velocity - (Measured in Meter per Second) - Self Cleansing Velocity is the rate of change of displacement.
Velocity while running full - (Measured in Meter per Second) - Velocity while running full means when velocity of water through pipe while running full.
Roughness coefficient full - Roughness coefficient full means roughness coefficient of pipe while running full.
Roughness coefficient partially full - Roughness coefficient partially full means roughness coefficient of pipe while running partially full.
Hydraulic mean depth - (Measured in Meter) - Hydraulic mean depth while running partially full.
Hydraulic mean depth while running full - (Measured in Meter) - Hydraulic mean depth while running full means hmd of pipe while running full.
Bed slope of partial flow - Bed slope of partial flow means the slope at which partial flow is occuring.
Bed slope - Bed slope of the sewer under consideration.

STEP 1: Convert Input(s) to Base Unit

Velocity while running full: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Roughness coefficient full: 0.97 --> No Conversion Required
Roughness coefficient partially full: 0.9 --> No Conversion Required
Hydraulic mean depth: 3 Meter --> 3 Meter No Conversion Required
Hydraulic mean depth while running full: 5 Meter --> 5 Meter No Conversion Required
Bed slope of partial flow: 2 --> No Conversion Required
Bed slope: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = V*((N/n)*(r/R)^(2/3)*sqrt(s_s/s)) --> 10*((0.97/0.9)*(3/5)^(2/3)*sqrt(2/2))

Evaluating ... ...

V_s = 7.66708112301191

STEP 3: Convert Result to Output's Unit

7.66708112301191 Meter per Second --> No Conversion Required

FINAL ANSWER

7.66708112301191 ≈ 7.667081 Meter per Second <-- Self Cleansing Velocity

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Proportionate Hydraulic Elements for Circular Sewers » Flow Velocity through Circular Sewer » Self Cleansing Velocity given Bed Slope for Partial Flow

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Birsa Institute of Technology (BIT), Sindri

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< 10+ Flow Velocity through Circular Sewer Calculators

Velocity when Running Full using Bed Slope for Partial Flow

Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope of partial flow/Bed slope))

Self Cleansing Velocity given Bed Slope for Partial Flow

Go Self Cleansing Velocity = Velocity while running full*((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope of partial flow/Bed slope))

Velocity when Running Full using Ratio of Bed Slope

Self Cleansing Velocity using Ratio of Bed Slope

Velocity Ratio given Ratio of Bed Slope

Go Velocity ratio = (Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)

Velocity of Full Flow given Hydraulic Mean Depth for Full Flow

Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6))

Self Cleansing Velocity given Hydraulic Mean Depth for Full Flow

Go Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6)

Velocity of Full Flow given Hydraulic Mean Depth Ratio

Go Velocity while running full = Self Cleansing Velocity/((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))

Self Cleansing Velocity given Hydraulic Mean Depth Ratio

Go Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)

Velocity Ratio given Hydraulic Mean Depth Ratio

Go Velocity ratio = ((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6))

Self Cleansing Velocity given Bed Slope for Partial Flow Formula

What is self cleansing velocity ?

The criterion for self-cleansing was defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. For a given sediment concentration the self-cleansing velocity was found to be a maximum at pipe slopes between about 30° and 37.5°.

How to Calculate Self Cleansing Velocity given Bed Slope for Partial Flow?

Self Cleansing Velocity given Bed Slope for Partial Flow calculator uses Self Cleansing Velocity = Velocity while running full*((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope of partial flow/Bed slope)) to calculate the Self Cleansing Velocity, Self Cleansing Velocity given Bed Slope for Partial Flow defined as minimum velocity needed to prevent formation of separated dunes in pipes. Self Cleansing Velocity is denoted by V_s symbol.

How to calculate Self Cleansing Velocity given Bed Slope for Partial Flow using this online calculator? To use this online calculator for Self Cleansing Velocity given Bed Slope for Partial Flow, enter Velocity while running full (V), Roughness coefficient full (N), Roughness coefficient partially full (n), Hydraulic mean depth (r), Hydraulic mean depth while running full (R), Bed slope of partial flow (s_s) & Bed slope (s) and hit the calculate button. Here is how the Self Cleansing Velocity given Bed Slope for Partial Flow calculation can be explained with given input values -> 7.667081 = 10*((0.97/0.9)*(3/5)^(2/3)*sqrt(2/2)).

FAQ

What is Self Cleansing Velocity given Bed Slope for Partial Flow?

Self Cleansing Velocity given Bed Slope for Partial Flow defined as minimum velocity needed to prevent formation of separated dunes in pipes and is represented as V_s = V*((N/n)*(r/R)^(2/3)*sqrt(s_s/s)) or Self Cleansing Velocity = Velocity while running full*((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope of partial flow/Bed slope)). Velocity while running full means when velocity of water through pipe while running full, Roughness coefficient full means roughness coefficient of pipe while running full, Roughness coefficient partially full means roughness coefficient of pipe while running partially full, Hydraulic mean depth while running partially full, Hydraulic mean depth while running full means hmd of pipe while running full, Bed slope of partial flow means the slope at which partial flow is occuring & Bed slope of the sewer under consideration.

How to calculate Self Cleansing Velocity given Bed Slope for Partial Flow?

Self Cleansing Velocity given Bed Slope for Partial Flow defined as minimum velocity needed to prevent formation of separated dunes in pipes is calculated using Self Cleansing Velocity = Velocity while running full*((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope of partial flow/Bed slope)). To calculate Self Cleansing Velocity given Bed Slope for Partial Flow, you need Velocity while running full (V), Roughness coefficient full (N), Roughness coefficient partially full (n), Hydraulic mean depth (r), Hydraulic mean depth while running full (R), Bed slope of partial flow (s_s) & Bed slope (s). With our tool, you need to enter the respective value for Velocity while running full, Roughness coefficient full, Roughness coefficient partially full, Hydraulic mean depth, Hydraulic mean depth while running full, Bed slope of partial flow & Bed slope 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 Self Cleansing Velocity?

In this formula, Self Cleansing Velocity uses Velocity while running full, Roughness coefficient full, Roughness coefficient partially full, Hydraulic mean depth, Hydraulic mean depth while running full, Bed slope of partial flow & Bed slope. We can use 3 other way(s) to calculate the same, which is/are as follows -

Self Cleansing Velocity = Velocity while running full*((Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))
Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth ratio)^(1/6)
Self Cleansing Velocity = Velocity while running full*(Roughness coefficient full/Roughness coefficient partially full)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6)

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