Roughness Coefficient for Partial Flow given Self Cleansing Velocity Calculator

✖The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.ⓘ Roughness Coefficient for Running Full [N]			+10% -10%
✖Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.ⓘ Velocity in a Partially Running Sewer [V_s]			+10% -10%
✖Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness.ⓘ Velocity While Running Full [V]			+10% -10%
✖Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.ⓘ Hydraulic Mean Depth for Partially Full [r_pf]			+10% -10%
✖Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.ⓘ Hydraulic Mean Depth while Running Full [R_rf]			+10% -10%
✖The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.ⓘ Bed Slope Ratio [S]			+10% -10%

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

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Formula

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Roughness Coefficient for Partial Flow given Self Cleansing Velocity

Formula

n p = \frac{N}{\frac{\frac{V s}{V}}{{(\frac{r pf}{R rf})}^{\frac{2}{3}} \cdot \sqrt{S}}}

Example

0.93846 = \frac{0.74}{\frac{\frac{4.6 m/s}{6.01 m/s}}{{(\frac{3.2 m}{5.2 m})}^{\frac{2}{3}} \cdot \sqrt{1.8}}}

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Roughness Coefficient for Partial Flow given Self Cleansing Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
n_p = N/((V_s/V)/((r_pf/R_rf)^(2/3)*sqrt(S)))
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 Partially Full - Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
Roughness Coefficient for Running Full - The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
Velocity in a Partially Running Sewer - (Measured in Meter per Second) - Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.
Velocity While Running Full - (Measured in Meter per Second) - Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness.
Hydraulic Mean Depth for Partially Full - (Measured in Meter) - Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.
Hydraulic Mean Depth while Running Full - (Measured in Meter) - Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.
Bed Slope Ratio - The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.

STEP 1: Convert Input(s) to Base Unit

Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Velocity in a Partially Running Sewer: 4.6 Meter per Second --> 4.6 Meter per Second No Conversion Required
Velocity While Running Full: 6.01 Meter per Second --> 6.01 Meter per Second No Conversion Required
Hydraulic Mean Depth for Partially Full: 3.2 Meter --> 3.2 Meter No Conversion Required
Hydraulic Mean Depth while Running Full: 5.2 Meter --> 5.2 Meter No Conversion Required
Bed Slope Ratio: 1.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_p = N/((V_s/V)/((r_pf/R_rf)^(2/3)*sqrt(S))) --> 0.74/((4.6/6.01)/((3.2/5.2)^(2/3)*sqrt(1.8)))

Evaluating ... ...

n_p = 0.938459861670383

STEP 3: Convert Result to Output's Unit

0.938459861670383 --> No Conversion Required

FINAL ANSWER

0.938459861670383 ≈ 0.93846 <-- Roughness Coefficient Partially Full

(Calculation completed in 00.004 seconds)

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< Roughness Coefficient for Partial Flow Calculators

Roughness Coefficient for Partial Flow given Self Cleansing Velocity

Go Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))

Roughness Coefficient for Partial Flow given Velocity Ratio

Go Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))

Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio

Go Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6))

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

Go Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity Ratio)/(Hydraulic Mean Depth Ratio)^(1/6))

Roughness Coefficient for Partial 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 Partial Flow given Self Cleansing Velocity?

Roughness Coefficient for Partial Flow given Self Cleansing Velocity calculator uses Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))) to calculate the Roughness Coefficient Partially Full, Roughness Coefficient for Partial Flow given Self Cleansing Velocity calculates is defined for flow calculations, accounting for varied wetting of pipe surfaces. Roughness Coefficient Partially Full is denoted by n_p symbol.

How to calculate Roughness Coefficient for Partial Flow given Self Cleansing Velocity using this online calculator? To use this online calculator for Roughness Coefficient for Partial Flow given Self Cleansing Velocity, enter Roughness Coefficient for Running Full (N), Velocity in a Partially Running Sewer (V_s), Velocity While Running Full (V), Hydraulic Mean Depth for Partially Full (r_pf), Hydraulic Mean Depth while Running Full (R_rf) & Bed Slope Ratio (S) and hit the calculate button. Here is how the Roughness Coefficient for Partial Flow given Self Cleansing Velocity calculation can be explained with given input values -> 2.158458 = 0.74/((self_cleansing_velocity/6.01)/((3.2/5.2)^(2/3)*sqrt(1.8))).

FAQ

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

Roughness Coefficient for Partial Flow given Self Cleansing Velocity calculates is defined for flow calculations, accounting for varied wetting of pipe surfaces and is represented as n_p = N/((V_s/V)/((r_pf/R_rf)^(2/3)*sqrt(S))) or Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))). The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss, Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope, Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness, Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels, Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter & The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.

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

Roughness Coefficient for Partial Flow given Self Cleansing Velocity calculates is defined for flow calculations, accounting for varied wetting of pipe surfaces is calculated using Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))). To calculate Roughness Coefficient for Partial Flow given Self Cleansing Velocity, you need Roughness Coefficient for Running Full (N), Velocity in a Partially Running Sewer (V_s), Velocity While Running Full (V), Hydraulic Mean Depth for Partially Full (r_pf), Hydraulic Mean Depth while Running Full (R_rf) & Bed Slope Ratio (S). With our tool, you need to enter the respective value for Roughness Coefficient for Running Full, Velocity in a Partially Running Sewer, Velocity While Running Full, Hydraulic Mean Depth for Partially Full, 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 Partially Full?

In this formula, Roughness Coefficient Partially Full uses Roughness Coefficient for Running Full, Velocity in a Partially Running Sewer, Velocity While Running Full, Hydraulic Mean Depth for Partially Full, Hydraulic Mean Depth while Running Full & Bed Slope Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -

Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/(Hydraulic Mean Depth Ratio)^(1/6))
Roughness Coefficient Partially Full = Roughness Coefficient for Running Full/((Velocity Ratio)/(Hydraulic Mean Depth Ratio)^(1/6))

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