Self Cleansing Discharge given Hydraulic Mean Depth Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)*(Hydraulic mean depth ratio)^(1/6))
q = Q*((N/n)*(a/A)*(rR)^(1/6))
This formula uses 7 Variables
Variables Used
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.
Hydraulic mean depth ratio - Hydraulic mean depth ratio is the ratio of hydraulic mean depth of partial flow to full flow.
STEP 1: Convert Input(s) to Base Unit
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
Hydraulic mean depth ratio: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = Q*((N/n)*(a/A)*(rR)^(1/6)) --> 5*((0.97/0.9)*(5/3)*(2)^(1/6))
Evaluating ... ...
q = 10.0813721005564
STEP 3: Convert Result to Output's Unit
10.0813721005564 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
10.0813721005564 10.08137 Cubic Meter per Second <-- Discharge when pipe is running partially full
(Calculation completed in 00.004 seconds)

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6 Discharge and Discharge Ratio through Circular Sewer Calculators

Discharge of Full Flow given Hydraulic Mean Depth for Partial flow
Go Discharge when pipe is running full = Discharge when pipe is running partially full/((Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6))
Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow
Go 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)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6))
Self Cleansing Discharge given Hydraulic Mean Depth Ratio
Go 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)*(Hydraulic mean depth ratio)^(1/6))
Discharge of Full Flow given Hydraulic Mean Depth Ratio
Go Discharge when pipe is running full = Discharge when pipe is running partially full/((Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth ratio)^(1/6))
Discharge Ratio given Hydraulic Mean Depth for Full Flow
Go Discharge ratio = (Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6)
Discharge Ratio given Hydraulic Mean Depth Ratio
Go Discharge ratio = (Roughness coefficient full/Roughness coefficient partially full)*(Area of cross-section/Area of cross-section of pipe)*(Hydraulic mean depth ratio)^(1/6)

Self Cleansing Discharge given Hydraulic Mean Depth Ratio Formula

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)*(Hydraulic mean depth ratio)^(1/6))
q = Q*((N/n)*(a/A)*(rR)^(1/6))

What is self velocity ?

The criterion for self-cleansing was defined as the minimum velocity needed to prevent the formation of separated dunes in the pipes. For a given sediment concentration the self-cleansing velocity was found to be a maximum at pipe slopes between about 30° and 37.5°.

How to Calculate Self Cleansing Discharge given Hydraulic Mean Depth Ratio?

Self Cleansing Discharge given Hydraulic Mean Depth Ratio calculator 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)*(Hydraulic mean depth ratio)^(1/6)) to calculate the Discharge when pipe is running partially full, Self Cleansing Discharge given Hydraulic Mean Depth Ratio defined as minimum discharge needed to prevent formation of separated dunes in pipes. Discharge when pipe is running partially full is denoted by q symbol.

How to calculate Self Cleansing Discharge given Hydraulic Mean Depth Ratio using this online calculator? To use this online calculator for Self Cleansing Discharge given Hydraulic Mean Depth Ratio, enter 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) & Hydraulic mean depth ratio (rR) and hit the calculate button. Here is how the Self Cleansing Discharge given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 10.08137 = 5*((0.97/0.9)*(5/3)*(2)^(1/6)).

FAQ

What is Self Cleansing Discharge given Hydraulic Mean Depth Ratio?
Self Cleansing Discharge given Hydraulic Mean Depth Ratio defined as minimum discharge needed to prevent formation of separated dunes in pipes and is represented as q = Q*((N/n)*(a/A)*(rR)^(1/6)) or 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)*(Hydraulic mean depth ratio)^(1/6)). 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 & Hydraulic mean depth ratio is the ratio of hydraulic mean depth of partial flow to full flow.
How to calculate Self Cleansing Discharge given Hydraulic Mean Depth Ratio?
Self Cleansing Discharge given Hydraulic Mean Depth Ratio defined as minimum discharge needed to prevent formation of separated dunes in pipes is calculated using 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)*(Hydraulic mean depth ratio)^(1/6)). To calculate Self Cleansing Discharge given Hydraulic Mean Depth Ratio, you need 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) & Hydraulic mean depth ratio (rR). With our tool, you need to enter the respective value for Discharge when pipe is running full, Roughness coefficient full, Roughness coefficient partially full, Area of cross-section, Area of cross-section of pipe & 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 Discharge when pipe is running partially full?
In this formula, Discharge when pipe is running partially full uses Discharge when pipe is running full, Roughness coefficient full, Roughness coefficient partially full, Area of cross-section, Area of cross-section of pipe & Hydraulic mean depth ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)*(Hydraulic mean depth/Hydraulic mean depth while running full)^(1/6))
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