Hydraulic Mean Depth Ratio given Velocity Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic mean depth ratio = (Velocity ratio/(Roughness coefficient full/Roughness coefficient partially full))^6
rR = (νsVratio/(N/n))^6
This formula uses 4 Variables
Variables Used
Hydraulic mean depth ratio - Hydraulic mean depth ratio is the ratio of hydraulic mean depth of partial flow to full flow.
Velocity ratio - Velocity ratio is the ratio of velocity of partial flow to full flow.
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.
STEP 1: Convert Input(s) to Base Unit
Velocity ratio: 2 --> No Conversion Required
Roughness coefficient full: 0.97 --> No Conversion Required
Roughness coefficient partially full: 0.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rR = (νsVratio/(N/n))^6 --> (2/(0.97/0.9))^6
Evaluating ... ...
rR = 40.8323734756237
STEP 3: Convert Result to Output's Unit
40.8323734756237 --> No Conversion Required
FINAL ANSWER
40.8323734756237 40.83237 <-- Hydraulic mean depth ratio
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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3 Hydraulic Mean Depth Ratio Calculators

Hydraulic Mean Depth Ratio given Self Cleansing Discharge
Go Hydraulic mean depth ratio = ((Discharge when pipe is running partially full/Discharge when pipe is running full)/((Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)))^6
Hydraulic Mean Depth Ratio given Discharge Ratio
Go Hydraulic mean depth ratio = (Discharge ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)))^6
Hydraulic Mean Depth Ratio given Velocity Ratio
Go Hydraulic mean depth ratio = (Velocity ratio/(Roughness coefficient full/Roughness coefficient partially full))^6

Hydraulic Mean Depth Ratio given Velocity Ratio Formula

Hydraulic mean depth ratio = (Velocity ratio/(Roughness coefficient full/Roughness coefficient partially full))^6
rR = (νsVratio/(N/n))^6

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 Ratio given Velocity Ratio?

Hydraulic Mean Depth Ratio given Velocity Ratio calculator uses Hydraulic mean depth ratio = (Velocity ratio/(Roughness coefficient full/Roughness coefficient partially full))^6 to calculate the Hydraulic mean depth ratio, Hydraulic Mean Depth Ratio given Velocity Ratio is defined as depth which, when multiplied by top water surface width is equal to irregular section area. Hydraulic mean depth ratio is denoted by rR symbol.

How to calculate Hydraulic Mean Depth Ratio given Velocity Ratio using this online calculator? To use this online calculator for Hydraulic Mean Depth Ratio given Velocity Ratio, enter Velocity ratio (νsVratio), Roughness coefficient full (N) & Roughness coefficient partially full (n) and hit the calculate button. Here is how the Hydraulic Mean Depth Ratio given Velocity Ratio calculation can be explained with given input values -> 40.83237 = (2/(0.97/0.9))^6.

FAQ

What is Hydraulic Mean Depth Ratio given Velocity Ratio?
Hydraulic Mean Depth Ratio given Velocity Ratio is defined as depth which, when multiplied by top water surface width is equal to irregular section area and is represented as rR = (νsVratio/(N/n))^6 or Hydraulic mean depth ratio = (Velocity ratio/(Roughness coefficient full/Roughness coefficient partially full))^6. Velocity ratio is the ratio of velocity of partial flow to full flow, Roughness coefficient full means roughness coefficient of pipe while running full & Roughness coefficient partially full means roughness coefficient of pipe while running partially full.
How to calculate Hydraulic Mean Depth Ratio given Velocity Ratio?
Hydraulic Mean Depth Ratio given Velocity Ratio is defined as depth which, when multiplied by top water surface width is equal to irregular section area is calculated using Hydraulic mean depth ratio = (Velocity ratio/(Roughness coefficient full/Roughness coefficient partially full))^6. To calculate Hydraulic Mean Depth Ratio given Velocity Ratio, you need Velocity ratio (νsVratio), Roughness coefficient full (N) & Roughness coefficient partially full (n). With our tool, you need to enter the respective value for Velocity ratio, Roughness coefficient full & Roughness coefficient partially 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 ratio?
In this formula, Hydraulic mean depth ratio uses Velocity ratio, Roughness coefficient full & Roughness coefficient partially full. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hydraulic mean depth ratio = (Discharge ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)))^6
  • Hydraulic mean depth ratio = ((Discharge when pipe is running partially full/Discharge when pipe is running full)/((Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)))^6
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