Roughness Coefficient for Partial Flow given Discharge Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
n = N/((qsQratio)/((a/A)*(r/R)^(1/6)))
This formula uses 7 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.
Discharge ratio - Discharge ratio is the ratio of discharge at partial flow to discharge at full flow.
Area of cross-section - (Measured in Square Meter) - Area of cross-section while running partially full.
Area of cross-section of pipe - (Measured in Square Meter) - Area of cross-section of pipe while running full.
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.
STEP 1: Convert Input(s) to Base Unit
Roughness coefficient full: 0.97 --> No Conversion Required
Discharge ratio: 1.7 --> No Conversion Required
Area of cross-section: 5 Square Meter --> 5 Square Meter No Conversion Required
Area of cross-section of pipe: 3 Square Meter --> 3 Square Meter 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = N/((qsQratio)/((a/A)*(r/R)^(1/6))) --> 0.97/((1.7)/((5/3)*(3/5)^(1/6)))
Evaluating ... ...
n = 0.873366985395482
STEP 3: Convert Result to Output's Unit
0.873366985395482 --> No Conversion Required
FINAL ANSWER
0.873366985395482 0.873367 <-- 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 Discharge Ratio Formula

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)))
n = N/((qsQratio)/((a/A)*(r/R)^(1/6)))

What is roughness coefficient ?

A value used in Manning's formula to determine energy losses of flowing water due to pipe or channel wall roughness.

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

Roughness Coefficient for Partial Flow given Discharge Ratio calculator uses 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))) to calculate the Roughness coefficient partially full, The Roughness Coefficient for Partial Flow given Discharge 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 Discharge Ratio using this online calculator? To use this online calculator for Roughness Coefficient for Partial Flow given Discharge Ratio, enter Roughness coefficient full (N), Discharge ratio (qsQratio), Area of cross-section (a), Area of cross-section of pipe (A), Hydraulic mean depth (r) & Hydraulic mean depth while running full (R) and hit the calculate button. Here is how the Roughness Coefficient for Partial Flow given Discharge Ratio calculation can be explained with given input values -> 0.873367 = 0.97/((1.7)/((5/3)*(3/5)^(1/6))).

FAQ

What is Roughness Coefficient for Partial Flow given Discharge Ratio?
The Roughness Coefficient for Partial Flow given Discharge Ratio is used to determine energy losses of flowing water due to pipe or channel wall roughness and is represented as n = N/((qsQratio)/((a/A)*(r/R)^(1/6))) or 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 full means roughness coefficient of pipe while running full, Discharge ratio is the ratio of discharge at partial flow to discharge at full flow, Area of cross-section while running partially full, Area of cross-section of pipe while running full, Hydraulic mean depth while running partially full & Hydraulic mean depth while running full means hmd of pipe while running full.
How to calculate Roughness Coefficient for Partial Flow given Discharge Ratio?
The Roughness Coefficient for Partial Flow given Discharge 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/((Discharge ratio)/((Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6))). To calculate Roughness Coefficient for Partial Flow given Discharge Ratio, you need Roughness coefficient full (N), Discharge ratio (qsQratio), Area of cross-section (a), Area of cross-section of pipe (A), Hydraulic mean depth (r) & Hydraulic mean depth while running full (R). With our tool, you need to enter the respective value for Roughness coefficient full, Discharge ratio, Area of cross-section, Area of cross-section of pipe, Hydraulic mean depth & 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 partially full?
In this formula, Roughness coefficient partially full uses Roughness coefficient full, Discharge ratio, Area of cross-section, Area of cross-section of pipe, Hydraulic mean depth & Hydraulic mean depth while running full. 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/((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 ratio)^(1/6)))
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