Roughness Coefficient while Running Full given Proportionate Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roughness Coefficient for Running Full = (Proportionate Velocity*Roughness Coefficient Partially Full)/(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)
N = (Pv*np)/(rpf/Rrf)^(2/3)
This formula uses 5 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.
Proportionate Velocity - Proportionate Velocity is ratio of velocity when water is partially full to velocity when water is totally full.
Roughness Coefficient Partially Full - Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
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
Proportionate Velocity: 0.765 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> 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 = (Pv*np)/(rpf/Rrf)^(2/3) --> (0.765*0.9)/(3.2/5.2)^(2/3)
Evaluating ... ...
N = 0.951640364804476
STEP 3: Convert Result to Output's Unit
0.951640364804476 --> No Conversion Required
FINAL ANSWER
0.951640364804476 0.95164 <-- Roughness Coefficient for Running Full
(Calculation completed in 00.009 seconds)

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Birsa Institute of Technology (BIT), Sindri
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Proportionate Velocity Calculators

Proportionate Velocity given Roughness Coefficient
​ LaTeX ​ Go Proportionate Velocity = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth for Partially Full)^(2/3)
Proportionate Velocity given Central Angle
​ LaTeX ​ Go Proportionate Velocity = (1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))^(2/3)
Proportionate Velocity when Roughness Coefficient does not Vary with Depth
​ LaTeX ​ Go Proportionate Velocity = (Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)
Proportionate Velocity given Velocity while Running Partially Full
​ LaTeX ​ Go Proportionate Velocity = Velocity in a Partially Running Sewer/Velocity While Running Full

Roughness Coefficient while Running Full given Proportionate Velocity Formula

​LaTeX ​Go
Roughness Coefficient for Running Full = (Proportionate Velocity*Roughness Coefficient Partially Full)/(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)
N = (Pv*np)/(rpf/Rrf)^(2/3)

What is hydraulic depth ?

Hydraulic depth, abbreviated as dh, also called hydraulic mean depth, is the area cross-section of water in a pipe or channel divided by the wetting perimeter.

How to Calculate Roughness Coefficient while Running Full given Proportionate Velocity?

Roughness Coefficient while Running Full given Proportionate Velocity calculator uses Roughness Coefficient for Running Full = (Proportionate Velocity*Roughness Coefficient Partially Full)/(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3) to calculate the Roughness Coefficient for Running Full, The Roughness Coefficient while Running Full given Proportionate Velocity calculates the roughness coefficient when we have prior information of other parameters. Roughness Coefficient for Running Full is denoted by N symbol.

How to calculate Roughness Coefficient while Running Full given Proportionate Velocity using this online calculator? To use this online calculator for Roughness Coefficient while Running Full given Proportionate Velocity, enter Proportionate Velocity (Pv), Roughness Coefficient Partially Full (np), Hydraulic Mean Depth for Partially Full (rpf) & Hydraulic Mean Depth while Running Full (Rrf) and hit the calculate button. Here is how the Roughness Coefficient while Running Full given Proportionate Velocity calculation can be explained with given input values -> 0.746385 = (0.765*0.9)/(3.2/5.2)^(2/3).

FAQ

What is Roughness Coefficient while Running Full given Proportionate Velocity?
The Roughness Coefficient while Running Full given Proportionate Velocity calculates the roughness coefficient when we have prior information of other parameters and is represented as N = (Pv*np)/(rpf/Rrf)^(2/3) or Roughness Coefficient for Running Full = (Proportionate Velocity*Roughness Coefficient Partially Full)/(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3). Proportionate Velocity is ratio of velocity when water is partially full to velocity when water is totally full, Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full, 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 while Running Full given Proportionate Velocity?
The Roughness Coefficient while Running Full given Proportionate Velocity calculates the roughness coefficient when we have prior information of other parameters is calculated using Roughness Coefficient for Running Full = (Proportionate Velocity*Roughness Coefficient Partially Full)/(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3). To calculate Roughness Coefficient while Running Full given Proportionate Velocity, you need Proportionate Velocity (Pv), Roughness Coefficient Partially Full (np), Hydraulic Mean Depth for Partially Full (rpf) & Hydraulic Mean Depth while Running Full (Rrf). With our tool, you need to enter the respective value for Proportionate Velocity, Roughness Coefficient Partially Full, 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.
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