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

STEP 0: Pre-Calculation Summary
Formula Used
Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)))
N = np*((qsQratio)/((a/A)*(R)^(1/6)))
This formula uses 6 Variables
Variables Used
Roughness Coefficient for Running Full - The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
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 Partially Full Sewers - (Measured in Square Meter) - The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.
Area of Running Full Sewers - (Measured in Square Meter) - The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.
Hydraulic Mean Depth Ratio - The Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.
STEP 1: Convert Input(s) to Base Unit
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Discharge Ratio: 0.532 --> No Conversion Required
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Area of Running Full Sewers: 5.4 Square Meter --> 5.4 Square Meter No Conversion Required
Hydraulic Mean Depth Ratio: 0.61 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = np*((qsQratio)/((a/A)*(R)^(1/6))) --> 0.9*((0.532)/((3.8/5.4)*(0.61)^(1/6)))
Evaluating ... ...
N = 0.738826842937957
STEP 3: Convert Result to Output's Unit
0.738826842937957 --> No Conversion Required
FINAL ANSWER
0.738826842937957 0.738827 <-- Roughness Coefficient for Running Full
(Calculation completed in 00.020 seconds)

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Roughness Coefficient for Full Flow Calculators

Roughness Coefficient for Full Flow given Self Cleansing Velocity
​ LaTeX ​ Go Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
Roughness Coefficient for Full Flow given Velocity Ratio
​ LaTeX ​ Go Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
Roughness Coefficient for Full Flow given Hydraulic Mean Depth Ratio
​ LaTeX ​ Go Roughness Coefficient for Running Full = (((Velocity in a Partially Running Sewer/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
​ LaTeX ​ Go Roughness Coefficient for Running 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

​LaTeX ​Go
Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)))
N = np*((qsQratio)/((a/A)*(R)^(1/6)))

What is hydraulic depth ratio ?

The hydraulic mean depth ratio is the comparison of the hydraulic mean depth (flow area divided by wetted perimeter) of a partially full pipe to that of a fully running pipe. This ratio helps in analyzing the flow efficiency and determining the capacity of the pipe under different flow conditions, aiding in the design and management of sewer systems.

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 for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6))) to calculate the Roughness Coefficient for Running Full, Roughness Coefficient for Full Flow given Hydraulic Mean Depth and Discharge Ratio is defined for uniform surface resistance affecting flow velocity and friction loss. Roughness Coefficient for Running 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 (np), Discharge Ratio (qsQratio), Area of Partially Full Sewers (a), Area of Running Full Sewers (A) & Hydraulic Mean Depth Ratio (R) 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 -> 0.410459 = 0.9*((0.532)/((3.8/area_while_running_full)*(0.61)^(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 defined for uniform surface resistance affecting flow velocity and friction loss and is represented as N = np*((qsQratio)/((a/A)*(R)^(1/6))) or Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(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, The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations, The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid & The Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.
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 defined for uniform surface resistance affecting flow velocity and friction loss is calculated using Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Discharge Ratio)/((Area of Partially Full Sewers/Area of Running Full Sewers)*(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 (np), Discharge Ratio (qsQratio), Area of Partially Full Sewers (a), Area of Running Full Sewers (A) & Hydraulic Mean Depth Ratio (R). With our tool, you need to enter the respective value for Roughness Coefficient Partially Full, Discharge Ratio, Area of Partially Full Sewers, Area of Running Full Sewers & 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 for Running Full?
In this formula, Roughness Coefficient for Running Full uses Roughness Coefficient Partially Full, Discharge Ratio, Area of Partially Full Sewers, Area of Running Full Sewers & Hydraulic Mean Depth Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*(Velocity Ratio/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
  • Roughness Coefficient for Running Full = Roughness Coefficient Partially Full*((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(2/3)*sqrt(Bed Slope Ratio)))
  • Roughness Coefficient for Running Full = (((Velocity in a Partially Running Sewer/Velocity While Running Full))/(Hydraulic Mean Depth Ratio)^(1/6))*Roughness Coefficient Partially Full
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