Roughness Coefficient for Full Flow given Discharge Ratio Calculator

✖Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.ⓘ Roughness Coefficient Partially Full [n_p]			+10% -10%
✖Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow.ⓘ Discharge Ratio [qsQ_ratio]			+10% -10%
✖The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.ⓘ Area of Partially Full Sewers [a]			+10% -10%
✖The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.ⓘ Area of Running Full Sewers [A]			+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 Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.ⓘ Roughness Coefficient for Full Flow given Discharge Ratio [N]

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Formula

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Roughness Coefficient for Full Flow given Discharge Ratio

Formula

N = n p \cdot (\frac{qsQ ratio}{(\frac{a}{A}) \cdot {(\frac{r pf}{R rf})}^{\frac{1}{6}}})

Example

0.737745 = 0.9 \cdot (\frac{0.532}{(\frac{3.8 m²}{5.4 m²}) \cdot {(\frac{3.2 m}{5.2 m})}^{\frac{1}{6}}})

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Roughness Coefficient for Full Flow given Discharge Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)))
N = n_p*((qsQ_ratio)/((a/A)*(r_pf/R_rf)^(1/6)))
This formula uses 7 Variables

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.
Discharge Ratio - Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow.
Area of Partially Full Sewers - (Measured in Square Meter) - The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.
Area of Running Full Sewers - (Measured in Square Meter) - The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.
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.

STEP 1: Convert Input(s) to Base Unit

Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Discharge Ratio: 0.532 --> No Conversion Required
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Area of Running Full Sewers: 5.4 Square Meter --> 5.4 Square Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = n_p*((qsQ_ratio)/((a/A)*(r_pf/R_rf)^(1/6))) --> 0.9*((0.532)/((3.8/5.4)*(3.2/5.2)^(1/6)))

Evaluating ... ...

N = 0.737745437764866

STEP 3: Convert Result to Output's Unit

0.737745437764866 --> No Conversion Required

FINAL ANSWER

0.737745437764866 ≈ 0.737745 <-- 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 Discharge Ratio Formula

What is discharge ratio ?

The discharge ratio is the comparison of the flow rate (discharge) in a partially full pipe to that in a fully running pipe. It helps in understanding the efficiency and capacity of the pipe under different flow conditions, often influenced by factors like slope, roughness, and hydraulic mean depth. The ratio is crucial for designing and analyzing sewer systems to ensure optimal performance under varying load conditions.

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

Roughness Coefficient for Full Flow given Discharge Ratio calculator uses Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))) to calculate the Roughness Coefficient for Running Full, The Roughness Coefficient for Full Flow given Discharge Ratio is defined for 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 Discharge Ratio using this online calculator? To use this online calculator for Roughness Coefficient for Full Flow given Discharge Ratio, enter Roughness Coefficient Partially Full (n_p), Discharge Ratio (qsQ_ratio), Area of Partially Full Sewers (a), Area of Running Full Sewers (A), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf) and hit the calculate button. Here is how the Roughness Coefficient for Full Flow given Discharge Ratio calculation can be explained with given input values -> 0.409859 = 0.9*((0.532)/((3.8/area_while_running_full)*(3.2/5.2)^(1/6))).

FAQ

What is Roughness Coefficient for Full Flow given Discharge Ratio?

The Roughness Coefficient for Full Flow given Discharge Ratio is defined for for uniform surface resistance affecting flow velocity and friction loss and is represented as N = n_p*((qsQ_ratio)/((a/A)*(r_pf/R_rf)^(1/6))) or Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))). Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full, Discharge Ratio is the ratio of discharge at partial flow to discharge at full flow, The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations, The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid, 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.

How to calculate Roughness Coefficient for Full Flow given Discharge Ratio?

The Roughness Coefficient for Full Flow given Discharge Ratio is defined for for uniform surface resistance affecting flow velocity and friction loss is calculated using Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))). To calculate Roughness Coefficient for Full Flow given Discharge Ratio, you need Roughness Coefficient Partially Full (n_p), Discharge Ratio (qsQ_ratio), Area of Partially Full Sewers (a), Area of Running Full Sewers (A), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf). With our tool, you need to enter the respective value for Roughness Coefficient Partially Full, Discharge Ratio, Area of Partially Full Sewers, Area of Running Full Sewers, Hydraulic Mean Depth for Partially Full & Hydraulic Mean Depth while Running Full 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, Discharge Ratio, Area of Partially Full Sewers, Area of Running Full Sewers, Hydraulic Mean Depth for Partially Full & Hydraulic Mean Depth while Running Full. 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 Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
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

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