Discharge Ratio given Hydraulic Mean Depth for Full Flow Calculator

✖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 ratio is the ratio of discharge at partial flow to discharge at full flow.ⓘ Discharge Ratio given Hydraulic Mean Depth for Full Flow [qsQ_ratio]

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Formula

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Discharge Ratio given Hydraulic Mean Depth for Full Flow

Formula

`"qsQ"_{"ratio"} = ("N"/"n")*("a"/"A")*("r"/"R")^(1/6)`

Example

`"1.649693"=("0.97"/"0.9")*("5m²"/"3m²")*("3m"/"5m")^(1/6)`

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Discharge Ratio given Hydraulic Mean Depth for Full Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
qsQ_ratio = (N/n)*(a/A)*(r/R)^(1/6)
This formula uses 7 Variables

Variables Used

Discharge ratio - Discharge ratio is the ratio of discharge at partial flow to discharge at 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.
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

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

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

Evaluating ... ...

qsQ_ratio = 1.64969319463591

STEP 3: Convert Result to Output's Unit

1.64969319463591 --> No Conversion Required

FINAL ANSWER

1.64969319463591 ≈ 1.649693 <-- Discharge ratio

(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 » Discharge Ratio given Hydraulic Mean Depth for Full Flow

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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)

Discharge Ratio given Hydraulic Mean Depth for Full Flow Formula

What is hydraulic mean 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 Discharge Ratio given Hydraulic Mean Depth for Full Flow?

Discharge Ratio given Hydraulic Mean Depth for Full Flow calculator uses 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) to calculate the Discharge ratio, Discharge Ratio given Hydraulic Mean Depth for Full Flow calculates ratio of discharge at partial flow to discharge at full flow. Discharge ratio is denoted by qsQ_ratio symbol.

How to calculate Discharge Ratio given Hydraulic Mean Depth for Full Flow using this online calculator? To use this online calculator for Discharge Ratio given Hydraulic Mean Depth for Full Flow, enter 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 Discharge Ratio given Hydraulic Mean Depth for Full Flow calculation can be explained with given input values -> 1.649693 = (0.97/0.9)*(5/3)*(3/5)^(1/6).

FAQ

What is Discharge Ratio given Hydraulic Mean Depth for Full Flow?

Discharge Ratio given Hydraulic Mean Depth for Full Flow calculates ratio of discharge at partial flow to discharge at full flow and is represented as qsQ_ratio = (N/n)*(a/A)*(r/R)^(1/6) or 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). 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 Discharge Ratio given Hydraulic Mean Depth for Full Flow?

Discharge Ratio given Hydraulic Mean Depth for Full Flow calculates ratio of discharge at partial flow to discharge at full flow is calculated using 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). To calculate Discharge Ratio given Hydraulic Mean Depth for Full Flow, you need 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 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 ratio?

In this formula, Discharge ratio uses 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 ratio = (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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