Roughness Coefficient for Partial Flow given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roughness coefficient partially full = Roughness coefficient full/(Velocity ratio/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)))
n = N/(νsVratio/((r/R)^(2/3)*sqrt(soSratio)))
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 partially full - Roughness coefficient partially full means roughness coefficient of pipe while running partially full.
Roughness coefficient full - Roughness coefficient full means roughness coefficient of pipe while running full.
Velocity ratio - Velocity ratio is the ratio of velocity of partial flow to full flow.
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 full: 0.97 --> No Conversion Required
Velocity ratio: 2 --> 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/(νsVratio/((r/R)^(2/3)*sqrt(soSratio))) --> 0.97/(2/((3/5)^(2/3)*sqrt(1.5)))
Evaluating ... ...
n = 0.422559822777845
STEP 3: Convert Result to Output's Unit
0.422559822777845 --> No Conversion Required
FINAL ANSWER
0.422559822777845 0.42256 <-- Roughness coefficient partially full
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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6 Roughness Coefficient for Partial Flow Calculators

Roughness Coefficient for Partial Flow given Self Cleansing Velocity
Go Roughness coefficient partially full = Roughness coefficient 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 Partial Flow given Discharge Ratio
Go Roughness coefficient partially full = Roughness coefficient 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 Partial Flow given Velocity Ratio
Go Roughness coefficient partially full = Roughness coefficient full/(Velocity ratio/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)))
Roughness Coefficient for Partial Flow given Hydraulic Mean Depth and Discharge Ratio
Go Roughness coefficient partially full = Roughness coefficient full/((Discharge ratio)/((Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth ratio)^(1/6)))
Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio
Go Roughness coefficient partially full = Roughness coefficient full/((Self Cleansing Velocity/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 full/((Velocity ratio)/(Hydraulic mean depth ratio)^(1/6))

Roughness Coefficient for Partial Flow given Velocity Ratio Formula

Roughness coefficient partially full = Roughness coefficient full/(Velocity ratio/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio)))
n = N/(νsVratio/((r/R)^(2/3)*sqrt(soSratio)))

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 Velocity Ratio?

Roughness Coefficient for Partial Flow given Velocity Ratio calculator uses Roughness coefficient partially full = Roughness coefficient full/(Velocity ratio/((Hydraulic mean depth/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 Velocity Ratio calculates roughness coefficient for partial flow when we have prior information of other parameters. Roughness coefficient partially full is denoted by n symbol.

How to calculate Roughness Coefficient for Partial Flow given Velocity Ratio using this online calculator? To use this online calculator for Roughness Coefficient for Partial Flow given Velocity Ratio, enter Roughness coefficient full (N), Velocity ratio (νsVratio), Hydraulic mean depth (r), Hydraulic mean depth while running full (R) & Bed slope ratio (soSratio) and hit the calculate button. Here is how the Roughness Coefficient for Partial Flow given Velocity Ratio calculation can be explained with given input values -> 0.42256 = 0.97/(2/((3/5)^(2/3)*sqrt(1.5))).

FAQ

What is Roughness Coefficient for Partial Flow given Velocity Ratio?
Roughness Coefficient for Partial Flow given Velocity Ratio calculates roughness coefficient for partial flow when we have prior information of other parameters and is represented as n = N/(νsVratio/((r/R)^(2/3)*sqrt(soSratio))) or Roughness coefficient partially full = Roughness coefficient full/(Velocity ratio/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))). Roughness coefficient full means roughness coefficient of pipe while running full, Velocity ratio is the ratio of velocity of partial flow to full flow, 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 Partial Flow given Velocity Ratio?
Roughness Coefficient for Partial Flow given Velocity Ratio calculates roughness coefficient for partial flow when we have prior information of other parameters is calculated using Roughness coefficient partially full = Roughness coefficient full/(Velocity ratio/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))). To calculate Roughness Coefficient for Partial Flow given Velocity Ratio, you need Roughness coefficient full (N), Velocity ratio (νsVratio), Hydraulic mean depth (r), Hydraulic mean depth while running full (R) & Bed slope ratio (soSratio). With our tool, you need to enter the respective value for Roughness coefficient full, Velocity ratio, 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 partially full?
In this formula, Roughness coefficient partially full uses Roughness coefficient full, Velocity ratio, 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 partially full = Roughness coefficient 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 = 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/((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 partially full = Roughness coefficient full/((Discharge ratio)/((Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth ratio)^(1/6)))
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