Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Roughness coefficient partially full = Roughness coefficient full/((Self Cleansing Velocity/Velocity while running full)/(Hydraulic mean depth ratio)^(1/6))
n = N/((Vs/V)/(rR)^(1/6))
This formula uses 5 Variables
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.
Self Cleansing Velocity - (Measured in Meter per Second) - Self Cleansing Velocity is the rate of change of displacement.
Velocity while running full - (Measured in Meter per Second) - Velocity while running full means when velocity of water through pipe while running full.
Hydraulic mean depth ratio - Hydraulic mean depth ratio is the ratio of hydraulic mean depth of partial flow to full flow.
STEP 1: Convert Input(s) to Base Unit
Roughness coefficient full: 0.97 --> No Conversion Required
Self Cleansing Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Velocity while running full: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Hydraulic mean depth ratio: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = N/((Vs/V)/(rR)^(1/6)) --> 0.97/((2/10)/(2)^(1/6))
Evaluating ... ...
n = 5.44394093430046
STEP 3: Convert Result to Output's Unit
5.44394093430046 --> No Conversion Required
FINAL ANSWER
5.44394093430046 5.443941 <-- Roughness coefficient partially full
(Calculation completed in 00.004 seconds)

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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 Hydraulic Mean Depth Ratio Formula

Roughness coefficient partially full = Roughness coefficient full/((Self Cleansing Velocity/Velocity while running full)/(Hydraulic mean depth ratio)^(1/6))
n = N/((Vs/V)/(rR)^(1/6))

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 for Partial Flow given Hydraulic Mean Depth Ratio?

Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio calculator uses Roughness coefficient partially full = Roughness coefficient full/((Self Cleansing Velocity/Velocity while running full)/(Hydraulic mean depth ratio)^(1/6)) to calculate the Roughness coefficient partially full, Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio is used to determine energy losses of flowing water due to pipe or channel wall roughness. Roughness coefficient partially full is denoted by n symbol.

How to calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio using this online calculator? To use this online calculator for Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio, enter Roughness coefficient full (N), Self Cleansing Velocity (Vs), Velocity while running full (V) & Hydraulic mean depth ratio (rR) and hit the calculate button. Here is how the Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 5.443941 = 0.97/((2/10)/(2)^(1/6)).

FAQ

What is Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio?
Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio is used to determine energy losses of flowing water due to pipe or channel wall roughness and is represented as n = N/((Vs/V)/(rR)^(1/6)) or Roughness coefficient partially full = Roughness coefficient full/((Self Cleansing Velocity/Velocity while running full)/(Hydraulic mean depth ratio)^(1/6)). Roughness coefficient full means roughness coefficient of pipe while running full, Self Cleansing Velocity is the rate of change of displacement, Velocity while running full means when velocity of water through pipe while running full & Hydraulic mean depth ratio is the ratio of hydraulic mean depth of partial flow to full flow.
How to calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio?
Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio is used to determine energy losses of flowing water due to pipe or channel wall roughness is calculated using Roughness coefficient partially full = Roughness coefficient full/((Self Cleansing Velocity/Velocity while running full)/(Hydraulic mean depth ratio)^(1/6)). To calculate Roughness Coefficient for Partial Flow given Hydraulic Mean Depth Ratio, you need Roughness coefficient full (N), Self Cleansing Velocity (Vs), Velocity while running full (V) & Hydraulic mean depth ratio (rR). With our tool, you need to enter the respective value for Roughness coefficient full, Self Cleansing Velocity, Velocity while running full & Hydraulic mean depth 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, Self Cleansing Velocity, Velocity while running full & Hydraulic mean depth ratio. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • 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 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/((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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