Hydraulic Mean Depth for Full Flow given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2)
Rrf = rpf/(νsVratio/((N/np)*sqrt(S)))^(3/2)
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
Hydraulic Mean Depth while Running Full - (Measured in Meter) - Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.
Hydraulic Mean Depth for Partially Full - (Measured in Meter) - Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.
Velocity Ratio - The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe.
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.
Bed Slope Ratio - The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.
STEP 1: Convert Input(s) to Base Unit
Hydraulic Mean Depth for Partially Full: 3.2 Meter --> 3.2 Meter No Conversion Required
Velocity Ratio: 0.76 --> No Conversion Required
Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Bed Slope Ratio: 1.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rrf = rpf/(νsVratio/((N/np)*sqrt(S)))^(3/2) --> 3.2/(0.76/((0.74/0.9)*sqrt(1.8)))^(3/2)
Evaluating ... ...
Rrf = 5.59587215828032
STEP 3: Convert Result to Output's Unit
5.59587215828032 Meter --> No Conversion Required
FINAL ANSWER
5.59587215828032 5.595872 Meter <-- Hydraulic Mean Depth while Running Full
(Calculation completed in 00.007 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Hydraulic Mean Depth for Full Flow Calculators

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

Hydraulic Mean Depth for Full Flow given Velocity Ratio Formula

​LaTeX ​Go
Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2)
Rrf = rpf/(νsVratio/((N/np)*sqrt(S)))^(3/2)

What is Hydraulic mean 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 Hydraulic Mean Depth for Full Flow given Velocity Ratio?

Hydraulic Mean Depth for Full Flow given Velocity Ratio calculator uses Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2) to calculate the Hydraulic Mean Depth while Running Full, Hydraulic Mean Depth for Full Flow given Velocity Ratio is defined as the ratio of the pipe's full cross-sectional area to its full wetted perimeter. Hydraulic Mean Depth while Running Full is denoted by Rrf symbol.

How to calculate Hydraulic Mean Depth for Full Flow given Velocity Ratio using this online calculator? To use this online calculator for Hydraulic Mean Depth for Full Flow given Velocity Ratio, enter Hydraulic Mean Depth for Partially Full (rpf), Velocity Ratio (νsVratio), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np) & Bed Slope Ratio (S) and hit the calculate button. Here is how the Hydraulic Mean Depth for Full Flow given Velocity Ratio calculation can be explained with given input values -> 1.31082 = 3.2/(velocity_ratio_/((0.74/0.9)*sqrt(1.8)))^(3/2).

FAQ

What is Hydraulic Mean Depth for Full Flow given Velocity Ratio?
Hydraulic Mean Depth for Full Flow given Velocity Ratio is defined as the ratio of the pipe's full cross-sectional area to its full wetted perimeter and is represented as Rrf = rpf/(νsVratio/((N/np)*sqrt(S)))^(3/2) or Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2). Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels, The Velocity Ratio compares the flow velocity in a partially full pipe to that in a fully running pipe, The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss, Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full & The Bed Slope Ratio refers to the slope of a partially full pipe to the slope when it is completely full.
How to calculate Hydraulic Mean Depth for Full Flow given Velocity Ratio?
Hydraulic Mean Depth for Full Flow given Velocity Ratio is defined as the ratio of the pipe's full cross-sectional area to its full wetted perimeter is calculated using Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/(Velocity Ratio/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2). To calculate Hydraulic Mean Depth for Full Flow given Velocity Ratio, you need Hydraulic Mean Depth for Partially Full (rpf), Velocity Ratio (νsVratio), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np) & Bed Slope Ratio (S). With our tool, you need to enter the respective value for Hydraulic Mean Depth for Partially Full, Velocity Ratio, Roughness Coefficient for Running Full, Roughness Coefficient Partially 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 Hydraulic Mean Depth while Running Full?
In this formula, Hydraulic Mean Depth while Running Full uses Hydraulic Mean Depth for Partially Full, Velocity Ratio, Roughness Coefficient for Running Full, Roughness Coefficient Partially Full & Bed Slope Ratio. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hydraulic Mean Depth while Running Full = (Hydraulic Mean Depth for Partially Full*Bed Slope of Partial Flow)/Bed Slope of Channel
  • Hydraulic Mean Depth while Running Full = Hydraulic Mean Depth for Partially Full/((Velocity in a Partially Running Sewer/Velocity While Running Full)/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*sqrt(Bed Slope Ratio)))^(3/2)
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