Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic mean depth = ((Proportionate velocity*Roughness coefficient partially full*(Hydraulic mean depth while running full)^(2/3))/Roughness coefficient full)^(3/2)
r = ((Pv*n*(R)^(2/3))/N)^(3/2)
This formula uses 5 Variables
Variables Used
Hydraulic mean depth - (Measured in Meter) - Hydraulic mean depth while running partially full.
Proportionate velocity - Proportionate velocity is ratio of velocity when water is partially full to velocity when water is totally full.
Roughness coefficient partially full - Roughness coefficient partially full means roughness coefficient of pipe 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.
Roughness coefficient full - Roughness coefficient full means roughness coefficient of pipe while running full.
STEP 1: Convert Input(s) to Base Unit
Proportionate velocity: 0.6 --> No Conversion Required
Roughness coefficient partially full: 0.9 --> No Conversion Required
Hydraulic mean depth while running full: 5 Meter --> 5 Meter No Conversion Required
Roughness coefficient full: 0.97 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((Pv*n*(R)^(2/3))/N)^(3/2) --> ((0.6*0.9*(5)^(2/3))/0.97)^(3/2)
Evaluating ... ...
r = 2.07684001408651
STEP 3: Convert Result to Output's Unit
2.07684001408651 Meter --> No Conversion Required
FINAL ANSWER
2.07684001408651 2.07684 Meter <-- Hydraulic mean depth
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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11 Circular Sewer Section Running Partially Full Calculators

Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity
Go Hydraulic mean depth = ((Proportionate velocity*Roughness coefficient partially full*(Hydraulic mean depth while running full)^(2/3))/Roughness coefficient full)^(3/2)
Roughness Coefficient while Running Partially Full using Proportionate Velocity
Go Roughness coefficient partially full = (Roughness coefficient full/Proportionate velocity)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(2/3)
Area of Cross-section while Running Partially Full given Proportionate Discharge
Go Area of cross-section = (Proportionate discharge*Velocity while running full*Area of cross-section of pipe)/Velocity while running partially full
Velocity while Running Partially Full given Proportionate Discharge
Go Velocity while running partially full = (Proportionate discharge*Velocity while running full*Area of cross-section of pipe)/Area of cross-section
Discharge when Pipe Running Partially Full using Proportionate Discharge
Go Discharge when pipe is running partially full = (Proportionate discharge*Discharge when pipe is running full)
Area of Cross-Section while Running Partially Full given Discharge
Go Area of cross-section = Discharge when pipe is running partially full/Velocity while running partially full
Velocity while Running Partially Full given Discharge
Go Velocity while running partially full = Discharge when pipe is running partially full/Area of cross-section
Discharge when Pipe Running Partially Full
Go Discharge when pipe is running partially full = Area of cross-section*Velocity while running partially full
Hydraulic Mean Depth while Running Partially Full given Proportionate Hydraulic Mean Depth
Go Hydraulic mean depth = Hydraulic mean depth while running full*Proportionate hydraulic mean depth
Velocity while Running Partially Full given Proportionate Velocity
Go Velocity while running partially full = Velocity while running full*Proportionate velocity
Area of Cross-section while Running Partially Full given Proportionate Area
Go Area of cross-section = Proportionate area*Area of cross-section of pipe

Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity Formula

Hydraulic mean depth = ((Proportionate velocity*Roughness coefficient partially full*(Hydraulic mean depth while running full)^(2/3))/Roughness coefficient full)^(3/2)
r = ((Pv*n*(R)^(2/3))/N)^(3/2)

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 Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity?

Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity calculator uses Hydraulic mean depth = ((Proportionate velocity*Roughness coefficient partially full*(Hydraulic mean depth while running full)^(2/3))/Roughness coefficient full)^(3/2) to calculate the Hydraulic mean depth, The Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity is defined as the depth which, when multiplied by the top water surface width T is equal to the irregular section area. Hydraulic mean depth is denoted by r symbol.

How to calculate Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity using this online calculator? To use this online calculator for Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity, enter Proportionate velocity (Pv), Roughness coefficient partially full (n), Hydraulic mean depth while running full (R) & Roughness coefficient full (N) and hit the calculate button. Here is how the Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity calculation can be explained with given input values -> 2.07684 = ((0.6*0.9*(5)^(2/3))/0.97)^(3/2).

FAQ

What is Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity?
The Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity is defined as the depth which, when multiplied by the top water surface width T is equal to the irregular section area and is represented as r = ((Pv*n*(R)^(2/3))/N)^(3/2) or Hydraulic mean depth = ((Proportionate velocity*Roughness coefficient partially full*(Hydraulic mean depth while running full)^(2/3))/Roughness coefficient full)^(3/2). Proportionate velocity is ratio of velocity when water is partially full to velocity when water is totally full, Roughness coefficient partially full means roughness coefficient of pipe while running partially full, Hydraulic mean depth while running full means hmd of pipe while running full & Roughness coefficient full means roughness coefficient of pipe while running full.
How to calculate Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity?
The Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity is defined as the depth which, when multiplied by the top water surface width T is equal to the irregular section area is calculated using Hydraulic mean depth = ((Proportionate velocity*Roughness coefficient partially full*(Hydraulic mean depth while running full)^(2/3))/Roughness coefficient full)^(3/2). To calculate Hydraulic Mean Depth while Running Partially Full given Proportionate Velocity, you need Proportionate velocity (Pv), Roughness coefficient partially full (n), Hydraulic mean depth while running full (R) & Roughness coefficient full (N). With our tool, you need to enter the respective value for Proportionate velocity, Roughness coefficient partially full, Hydraulic mean depth while running full & Roughness coefficient 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 Hydraulic mean depth?
In this formula, Hydraulic mean depth uses Proportionate velocity, Roughness coefficient partially full, Hydraulic mean depth while running full & Roughness coefficient full. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Hydraulic mean depth = Hydraulic mean depth while running full*Proportionate hydraulic mean depth
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