Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
N = n*((qsQratio)/((a/A)*(rR)^(1/6)))
This formula uses 6 Variables
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.
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 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 partially full: 0.9 --> 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 ratio: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = n*((qsQratio)/((a/A)*(rR)^(1/6))) --> 0.9*((1.7)/((5/3)*(2)^(1/6)))
Evaluating ... ...
N = 0.817845023252831
STEP 3: Convert Result to Output's Unit
0.817845023252831 --> No Conversion Required
FINAL ANSWER
0.817845023252831 0.817845 <-- Roughness coefficient full
(Calculation completed in 00.004 seconds)

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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 Hydraulic Mean Depth and Discharge Ratio Formula

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)))
N = n*((qsQratio)/((a/A)*(rR)^(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 Full Flow given Hydraulic Mean Depth and Discharge Ratio?

Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio calculator uses 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))) to calculate the Roughness coefficient full, Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio is used to determine energy losses of flowing water due to pipe or channel wall roughness. Roughness coefficient full is denoted by N symbol.

How to calculate Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio using this online calculator? To use this online calculator for Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio, enter Roughness coefficient partially full (n), Discharge ratio (qsQratio), Area of cross-section (a), Area of cross-section of pipe (A) & Hydraulic mean depth ratio (rR) and hit the calculate button. Here is how the Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio calculation can be explained with given input values -> 0.817845 = 0.9*((1.7)/((5/3)*(2)^(1/6))).

FAQ

What is Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio?
Roughness Coefficient for Full Flow given Hydraulic Mean Depth and 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)*(rR)^(1/6))) or 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 partially full means roughness coefficient of pipe while running partially 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 ratio is the ratio of hydraulic mean depth of partial flow to full flow.
How to calculate Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio?
Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio is used to determine energy losses of flowing water due to pipe or channel wall roughness is calculated using 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))). To calculate Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio, you need Roughness coefficient partially full (n), Discharge ratio (qsQratio), Area of cross-section (a), Area of cross-section of pipe (A) & Hydraulic mean depth ratio (rR). With our tool, you need to enter the respective value for Roughness coefficient partially full, Discharge ratio, Area of cross-section, Area of cross-section of pipe & 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 full?
In this formula, Roughness coefficient full uses Roughness coefficient partially full, Discharge ratio, Area of cross-section, Area of cross-section of pipe & Hydraulic mean depth ratio. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • 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 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)))
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