Roughness Coefficient for Full Flow given Self Cleansing Velocity Calculator

✖Roughness coefficient partially full means roughness coefficient of pipe while running partially full.ⓘ Roughness coefficient partially full [n]			+10% -10%
✖Self Cleansing Velocity is the rate of change of displacement.ⓘ Self Cleansing Velocity [V_s]			+10% -10%
✖Velocity while running full means when velocity of water through pipe while running full.ⓘ Velocity while running full [V]			+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 ratio is the ratio of bed slope of partial flow to full flow.ⓘ Bed slope ratio [soS_ratio]			+10% -10%

✖Roughness coefficient full means roughness coefficient of pipe while running full.ⓘ Roughness Coefficient for Full Flow given Self Cleansing Velocity [N]

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Roughness Coefficient for Full Flow given Self Cleansing Velocity

Formula

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

Example

`"0.206598"="0.9"*(("2m/s"/"10m/s")/(("3m"/"5m")^(2/3)*sqrt("1.5")))`

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Roughness Coefficient for Full Flow given Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness coefficient full = Roughness coefficient partially full*((Self Cleansing Velocity/Velocity while running full)/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)))
N = n*((V_s/V)/((r/R)^(2/3)*sqrt(soS_ratio)))
This formula uses 1 Functions, 7 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

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.
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.
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 ratio - Bed slope ratio is the ratio of bed slope of partial flow to full flow.

STEP 1: Convert Input(s) to Base Unit

Roughness coefficient partially full: 0.9 --> No Conversion Required
Self Cleansing Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Velocity while running full: 10 Meter per Second --> 10 Meter per Second 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 ratio: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = n*((V_s/V)/((r/R)^(2/3)*sqrt(soS_ratio))) --> 0.9*((2/10)/((3/5)^(2/3)*sqrt(1.5)))

Evaluating ... ...

N = 0.206597966238491

STEP 3: Convert Result to Output's Unit

0.206597966238491 --> No Conversion Required

FINAL ANSWER

0.206597966238491 ≈ 0.206598 <-- Roughness coefficient full

(Calculation completed in 00.004 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 » Roughness Coefficient » Roughness Coefficient for Full Flow » Roughness Coefficient for Full Flow given Self Cleansing Velocity

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< 6 Roughness Coefficient for Full Flow Calculators

Roughness Coefficient for Full Flow given Self Cleansing Velocity

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

Roughness Coefficient for Full Flow given Discharge Ratio

Go Roughness coefficient full = Roughness coefficient partially full*((Discharge ratio)/((Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6)))

Roughness Coefficient for Full Flow given Velocity Ratio

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

Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio

Go Roughness coefficient full = Roughness coefficient partially full*((Discharge ratio)/((Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth ratio)^(1/6)))

Roughness Coefficient for Full Flow given Hydraulic Mean Depth Ratio

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

Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Velocity Ratio

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

Roughness Coefficient for Full Flow given Self Cleansing Velocity 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 Roughness Coefficient for Full Flow given Self Cleansing Velocity?

Roughness Coefficient for Full Flow given Self Cleansing Velocity calculator uses Roughness coefficient full = Roughness coefficient partially full*((Self Cleansing Velocity/Velocity while running full)/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))) to calculate the Roughness coefficient full, Roughness Coefficient for Full Flow given Self Cleansing Velocity calculates roughness coefficient when we have prior information of other parameters. Roughness coefficient full is denoted by N symbol.

How to calculate Roughness Coefficient for Full Flow given Self Cleansing Velocity using this online calculator? To use this online calculator for Roughness Coefficient for Full Flow given Self Cleansing Velocity, enter Roughness coefficient partially full (n), Self Cleansing Velocity (V_s), Velocity while running full (V), Hydraulic mean depth (r), Hydraulic mean depth while running full (R) & Bed slope ratio (soS_ratio) and hit the calculate button. Here is how the Roughness Coefficient for Full Flow given Self Cleansing Velocity calculation can be explained with given input values -> 0.206598 = 0.9*((2/10)/((3/5)^(2/3)*sqrt(1.5))).

FAQ

What is Roughness Coefficient for Full Flow given Self Cleansing Velocity?

Roughness Coefficient for Full Flow given Self Cleansing Velocity calculates roughness coefficient when we have prior information of other parameters and is represented as N = n*((V_s/V)/((r/R)^(2/3)*sqrt(soS_ratio))) or Roughness coefficient full = Roughness coefficient partially full*((Self Cleansing Velocity/Velocity while running full)/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))). Roughness coefficient partially full means roughness coefficient of pipe while running partially full, Self Cleansing Velocity is the rate of change of displacement, Velocity while running full means when velocity of water through pipe while running full, Hydraulic mean depth while running partially full, Hydraulic mean depth while running full means hmd of pipe while running full & Bed slope ratio is the ratio of bed slope of partial flow to full flow.

How to calculate Roughness Coefficient for Full Flow given Self Cleansing Velocity?

Roughness Coefficient for Full Flow given Self Cleansing Velocity calculates roughness coefficient when we have prior information of other parameters is calculated using Roughness coefficient full = Roughness coefficient partially full*((Self Cleansing Velocity/Velocity while running full)/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))). To calculate Roughness Coefficient for Full Flow given Self Cleansing Velocity, you need Roughness coefficient partially full (n), Self Cleansing Velocity (V_s), Velocity while running full (V), Hydraulic mean depth (r), Hydraulic mean depth while running full (R) & Bed slope ratio (soS_ratio). With our tool, you need to enter the respective value for Roughness coefficient partially full, Self Cleansing Velocity, Velocity while running full, Hydraulic mean depth, Hydraulic mean depth while running full & Bed slope ratio 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 Roughness coefficient full?

In this formula, Roughness coefficient full uses Roughness coefficient partially full, Self Cleansing Velocity, Velocity while running full, Hydraulic mean depth, Hydraulic mean depth while running full & Bed slope ratio. We can use 5 other way(s) to calculate the same, which is/are as follows -

Roughness coefficient full = Roughness coefficient partially full*(Velocity ratio/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)))
Roughness coefficient full = (((Self Cleansing Velocity/Velocity while running full))/(Hydraulic mean depth ratio)^(1/6))*Roughness coefficient partially full
Roughness coefficient full = ((Velocity ratio)/(Hydraulic mean depth ratio)^(1/6))*Roughness coefficient partially full
Roughness coefficient full = Roughness coefficient partially full*((Discharge ratio)/((Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6)))
Roughness coefficient full = Roughness coefficient partially full*((Discharge ratio)/((Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth ratio)^(1/6)))

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