Roughness Coefficient for Full Flow given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roughness coefficient full = Roughness coefficient partially 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 full - Roughness coefficient full means roughness coefficient of pipe while running full.
Roughness coefficient partially full - Roughness coefficient partially full means roughness coefficient of pipe while running partially 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 partially full: 0.9 --> 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))) --> 0.9*(2/((3/5)^(2/3)*sqrt(1.5)))
Evaluating ... ...
N = 2.06597966238491
STEP 3: Convert Result to Output's Unit
2.06597966238491 --> No Conversion Required
FINAL ANSWER
2.06597966238491 2.06598 <-- Roughness coefficient 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 Full Flow Calculators

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

Roughness Coefficient for Full Flow given Velocity Ratio Formula

Roughness coefficient full = Roughness coefficient partially 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 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 full = Roughness coefficient partially full*(Velocity ratio/((Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)*sqrt(Bed slope ratio))) to calculate the Roughness coefficient full, Roughness Coefficient for Full Flow given Velocity Ratio calculates roughness coefficient when we have prior information of other parameters. Roughness coefficient 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), 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 Full Flow given Velocity Ratio calculation can be explained with given input values -> 2.06598 = 0.9*(2/((3/5)^(2/3)*sqrt(1.5))).

FAQ

What is Roughness Coefficient for Full Flow given Velocity Ratio?
Roughness Coefficient for Full Flow given Velocity Ratio calculates roughness coefficient when we have prior information of other parameters and is represented as N = n*(νsVratio/((r/R)^(2/3)*sqrt(soSratio))) or Roughness coefficient full = Roughness coefficient partially full*(Velocity ratio/((Hydraulic mean depth/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, 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 Full Flow given Velocity Ratio?
Roughness Coefficient for Full Flow given Velocity Ratio calculates roughness coefficient when we have prior information of other parameters is calculated using Roughness coefficient full = Roughness coefficient partially full*(Velocity ratio/((Hydraulic mean depth/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), 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 partially 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 full?
In this formula, Roughness coefficient full uses Roughness coefficient partially 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 full = Roughness coefficient partially 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 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 = Roughness coefficient partially 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 full = Roughness coefficient partially full*((Discharge ratio)/((Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth ratio)^(1/6)))
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