Hydraulic Mean Depth Ratio given Self Cleansing Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
rR = ((q/Q)/((N/n)*(a/A)))^6
This formula uses 7 Variables
Variables Used
Hydraulic mean depth ratio - Hydraulic mean depth ratio is the ratio of hydraulic mean depth of partial flow to full flow.
Discharge when pipe is running partially full - (Measured in Cubic Meter per Second) - Discharge when pipe is running partially full means water is flowing partially form the pipe.
Discharge when pipe is running full - (Measured in Cubic Meter per Second) - Discharge when pipe is running full means water is flowing through the whole cross-section of pipe.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Discharge when pipe is running partially full: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required
Discharge when pipe is running full: 5 Cubic Meter per Second --> 5 Cubic Meter per Second No Conversion Required
Roughness coefficient full: 0.97 --> No Conversion Required
Roughness coefficient partially full: 0.9 --> 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rR = ((q/Q)/((N/n)*(a/A)))^6 --> ((3/5)/((0.97/0.9)*(5/3)))^6
Evaluating ... ...
rR = 0.00138879983310457
STEP 3: Convert Result to Output's Unit
0.00138879983310457 --> No Conversion Required
FINAL ANSWER
0.00138879983310457 0.001389 <-- Hydraulic mean depth ratio
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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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 Self Cleansing Discharge Formula

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
rR = ((q/Q)/((N/n)*(a/A)))^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 Self Cleansing Discharge?

Hydraulic Mean Depth Ratio given Self Cleansing Discharge calculator uses 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 to calculate the Hydraulic mean depth ratio, Hydraulic Mean Depth Ratio given Self Cleansing Discharge calculates ratio of hydraulic mean depth of partial flow to hydraulic mean depth of full flow. Hydraulic mean depth ratio is denoted by rR symbol.

How to calculate Hydraulic Mean Depth Ratio given Self Cleansing Discharge using this online calculator? To use this online calculator for Hydraulic Mean Depth Ratio given Self Cleansing Discharge, enter Discharge when pipe is running partially full (q), Discharge when pipe is running full (Q), Roughness coefficient full (N), Roughness coefficient partially full (n), Area of cross-section (a) & Area of cross-section of pipe (A) and hit the calculate button. Here is how the Hydraulic Mean Depth Ratio given Self Cleansing Discharge calculation can be explained with given input values -> 0.001389 = ((3/5)/((0.97/0.9)*(5/3)))^6.

FAQ

What is Hydraulic Mean Depth Ratio given Self Cleansing Discharge?
Hydraulic Mean Depth Ratio given Self Cleansing Discharge calculates ratio of hydraulic mean depth of partial flow to hydraulic mean depth of full flow and is represented as rR = ((q/Q)/((N/n)*(a/A)))^6 or 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. Discharge when pipe is running partially full means water is flowing partially form the pipe, Discharge when pipe is running full means water is flowing through the whole cross-section of pipe, Roughness coefficient full means roughness coefficient of pipe while running full, Roughness coefficient partially full means roughness coefficient of pipe while running partially full, Area of cross-section while running partially full & Area of cross-section of pipe while running full.
How to calculate Hydraulic Mean Depth Ratio given Self Cleansing Discharge?
Hydraulic Mean Depth Ratio given Self Cleansing Discharge calculates ratio of hydraulic mean depth of partial flow to hydraulic mean depth of full flow is calculated using 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. To calculate Hydraulic Mean Depth Ratio given Self Cleansing Discharge, you need Discharge when pipe is running partially full (q), Discharge when pipe is running full (Q), Roughness coefficient full (N), Roughness coefficient partially full (n), Area of cross-section (a) & Area of cross-section of pipe (A). With our tool, you need to enter the respective value for 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 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 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. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hydraulic mean depth ratio = (Velocity ratio/(Roughness coefficient full/Roughness coefficient partially full))^6
  • Hydraulic mean depth ratio = (Discharge ratio/((Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)))^6
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