Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow Calculator

✖Discharge when pipe is running full means water is flowing through the whole cross-section of pipe.ⓘ Discharge when pipe is running full [Q]			+10% -10%
✖Roughness coefficient full means roughness coefficient of pipe while running full.ⓘ Roughness coefficient full [N]			+10% -10%
✖Roughness coefficient partially full means roughness coefficient of pipe while running partially full.ⓘ Roughness coefficient partially full [n]			+10% -10%
✖Area of cross-section while running partially full.ⓘ Area of cross-section [a]			+10% -10%
✖Area of cross-section of pipe while running full.ⓘ Area of cross-section of pipe [A]			+10% -10%
✖Hydraulic mean depth while running partially full.ⓘ Hydraulic mean depth [r]			+10% -10%
✖Hydraulic mean depth while running full means hmd of pipe while running full.ⓘ Hydraulic mean depth while running full [R]			+10% -10%

✖Discharge when pipe is running partially full means water is flowing partially form the pipe.ⓘ Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow [q]

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Formula

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Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow

Formula

`"q" = "Q"*(("N"/"n")*("a"/"A")*("r"/"R")^(1/6))`

Example

`"8.248466m³/s"="5m³/s"*(("0.97"/"0.9")*("5m²"/"3m²")*("3m"/"5m")^(1/6))`

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Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow 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/Hydraulic mean depth while running full)^(1/6))
q = Q*((N/n)*(a/A)*(r/R)^(1/6))
This formula uses 8 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 - (Measured in Meter) - Hydraulic mean depth 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.

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: 3 Meter --> 3 Meter No Conversion Required
Hydraulic mean depth while running full: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = Q*((N/n)*(a/A)*(r/R)^(1/6)) --> 5*((0.97/0.9)*(5/3)*(3/5)^(1/6))

Evaluating ... ...

q = 8.24846597317956

STEP 3: Convert Result to Output's Unit

8.24846597317956 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

8.24846597317956 ≈ 8.248466 Cubic Meter per Second <-- Discharge when pipe is running partially full

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Hydraulic Designs of Sewers and S. W. Drain Sections » Proportionate Hydraulic Elements for Circular Sewers » Discharge and Discharge Ratio through Circular Sewer » Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Discharge of Full Flow given Hydraulic Mean Depth Ratio

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 for Full Flow Formula

What is self-cleansing 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 for Full Flow?

Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow 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/Hydraulic mean depth while running full)^(1/6)) to calculate the Discharge when pipe is running partially full, Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow 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 for Full Flow using this online calculator? To use this online calculator for Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow, 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 (r) & Hydraulic mean depth while running full (R) and hit the calculate button. Here is how the Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow calculation can be explained with given input values -> 8.248466 = 5*((0.97/0.9)*(5/3)*(3/5)^(1/6)).

FAQ

What is Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow?

Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow defined as minimum discharge needed to prevent formation of separated dunes in pipes and is represented as q = Q*((N/n)*(a/A)*(r/R)^(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/Hydraulic mean depth while running full)^(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 while running partially full & Hydraulic mean depth while running full means hmd of pipe while running full.

How to calculate Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow?

Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow 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/Hydraulic mean depth while running full)^(1/6)). To calculate Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow, 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 (r) & Hydraulic mean depth while running full (R). 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 & Hydraulic mean depth while running 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 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 & Hydraulic mean depth while running full. 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 ratio)^(1/6))

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