Roughness Coefficient for Full Flow given Velocity Ratio Calculator

✖Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.ⓘ Roughness Coefficient Partially Full [n_p]			+10% -10%
✖The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.ⓘ Velocity Ratio [νsV_ratio]			+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%

✖The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.ⓘ Roughness Coefficient for Full Flow given Velocity Ratio [N]

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Formula

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Roughness Coefficient for Full Flow given Velocity Ratio

Formula

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

Example

0.704675 = 0.9 \cdot (\frac{0.76}{{(\frac{3.2 m}{5.2 m})}^{\frac{2}{3}} \cdot \sqrt{1.8}})

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Roughness Coefficient for Full Flow given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
N = n_p*(νsV_ratio/((r_pf/R_rf)^(2/3)*sqrt(S)))
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

Roughness Coefficient for Running Full - The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
Roughness Coefficient Partially Full - Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
Velocity Ratio - The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.
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 Partially Full: 0.9 --> No Conversion Required
Velocity Ratio: 0.76 --> 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 = n_p*(νsV_ratio/((r_pf/R_rf)^(2/3)*sqrt(S))) --> 0.9*(0.76/((3.2/5.2)^(2/3)*sqrt(1.8)))

Evaluating ... ...

N = 0.704674829993457

STEP 3: Convert Result to Output's Unit

0.704674829993457 --> No Conversion Required

FINAL ANSWER

0.704674829993457 ≈ 0.704675 <-- Roughness Coefficient for Running Full

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Roughness Coefficient for Full Flow Calculators

Roughness Coefficient for Full Flow given Self Cleansing Velocity

Go Roughness Coefficient for Running Full = Roughness Coefficient Partially 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 Full Flow given Velocity Ratio

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

Roughness Coefficient for Full Flow given Hydraulic Mean Depth Ratio

Go 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 Full Flow given Hydraulic Mean Depth and Velocity Ratio

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

Roughness Coefficient for Full Flow given Velocity Ratio Formula

What is bed slope ?

The Slope of bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering.

How to Calculate Roughness Coefficient for Full Flow given Velocity Ratio?

Roughness Coefficient for Full Flow given Velocity Ratio calculator uses Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))) to calculate the Roughness Coefficient for Running Full, Roughness Coefficient for Full Flow given Velocity Ratio is defined for uniform surface resistance affecting flow velocity and friction loss. Roughness Coefficient for Running Full is denoted by N symbol.

How to calculate Roughness Coefficient for Full Flow given Velocity Ratio using this online calculator? To use this online calculator for Roughness Coefficient for Full Flow given Velocity Ratio, enter Roughness Coefficient Partially Full (n_p), Velocity Ratio (νsV_ratio), 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 Full Flow given Velocity Ratio calculation can be explained with given input values -> 1.854407 = 0.9*(velocity_ratio_/((3.2/5.2)^(2/3)*sqrt(1.8))).

FAQ

What is Roughness Coefficient for Full Flow given Velocity Ratio?

Roughness Coefficient for Full Flow given Velocity Ratio is defined for uniform surface resistance affecting flow velocity and friction loss and is represented as N = n_p*(νsV_ratio/((r_pf/R_rf)^(2/3)*sqrt(S))) or Roughness Coefficient for Running Full = Roughness Coefficient Partially 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 means roughness coefficient of pipe while running partially full, The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe, 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 Full Flow given Velocity Ratio?

Roughness Coefficient for Full Flow given Velocity Ratio is defined for uniform surface resistance affecting flow velocity and friction loss is calculated using Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio))). To calculate Roughness Coefficient for Full Flow given Velocity Ratio, you need Roughness Coefficient Partially Full (n_p), Velocity Ratio (νsV_ratio), 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 Partially Full, Velocity Ratio, 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 for Running Full?

In this formula, Roughness Coefficient for Running Full uses Roughness Coefficient Partially Full, Velocity Ratio, 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 for Running Full = Roughness Coefficient Partially 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 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))*Roughness Coefficient Partially Full

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