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Discharge Ratio given Hydraulic Mean Depth for Full Flow Calculator

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Discharge and Discharge Ratio through Circular Sewer Area of Cross Section of Circular Sewer Bed Slope of Circular Sewer Flow Velocity through Circular Sewer

✖The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.ⓘ Roughness Coefficient for Running Full [N]			+10% -10%
✖Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.ⓘ Roughness Coefficient Partially Full [n_p]			+10% -10%
✖The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.ⓘ Area of Partially Full Sewers [a]			+10% -10%
✖The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.ⓘ Area of Running Full Sewers [A]			+10% -10%
✖Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.ⓘ Hydraulic Mean Depth for Partially Full [r_pf]			+10% -10%
✖Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.ⓘ Hydraulic Mean Depth while Running Full [R_rf]			+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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Discharge Ratio given Hydraulic Mean Depth for Full Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)
qsQ_ratio = (N/n_p)*(a/A)*(r_pf/R_rf)^(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 for Running Full - The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss.
Roughness Coefficient Partially Full - Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full.
Area of Partially Full Sewers - (Measured in Square Meter) - The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.
Area of Running Full Sewers - (Measured in Square Meter) - The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.
Hydraulic Mean Depth for Partially Full - (Measured in Meter) - Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels.
Hydraulic Mean Depth while Running Full - (Measured in Meter) - Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.

STEP 1: Convert Input(s) to Base Unit

Roughness Coefficient for Running Full: 0.74 --> No Conversion Required
Roughness Coefficient Partially Full: 0.9 --> No Conversion Required
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Area of Running Full Sewers: 5.4 Square Meter --> 5.4 Square Meter No Conversion Required
Hydraulic Mean Depth for Partially Full: 3.2 Meter --> 3.2 Meter No Conversion Required
Hydraulic Mean Depth while Running Full: 5.2 Meter --> 5.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

qsQ_ratio = (N/n_p)*(a/A)*(r_pf/R_rf)^(1/6) --> (0.74/0.9)*(3.8/5.4)*(3.2/5.2)^(1/6)

Evaluating ... ...

qsQ_ratio = 0.533625800781263

STEP 3: Convert Result to Output's Unit

0.533625800781263 --> No Conversion Required

FINAL ANSWER

0.533625800781263 ≈ 0.533626 <-- Discharge Ratio

(Calculation completed in 00.021 seconds)

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< Discharge and Discharge Ratio through Circular Sewer Calculators

Self Cleansing Discharge given Hydraulic Mean Depth for Full Flow

LaTeX Go Discharge when Pipe is Running Partially Full = Discharge when Pipe is Running Full*((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/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

LaTeX Go Discharge when Pipe is Running Full = Discharge when Pipe is Running Partially Full/((Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6))

Discharge Ratio given Hydraulic Mean Depth for Full Flow

LaTeX Go Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)

Discharge Ratio given Hydraulic Mean Depth for Full Flow Formula

LaTeX Go

What is Hydraulic Mean Depth?

Hydraulic Mean Depth, or hydraulic radius, is the ratio of the cross-sectional area of fluid flow to the wetted perimeter in a channel or pipe. It's a key parameter in fluid dynamics, used to determine flow characteristics like velocity and discharge. In open channel flow, it influences resistance, energy loss, and overall efficiency, making it vital for designing and analyzing water conveyance systems.

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 for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6) to calculate the Discharge Ratio, Discharge Ratio given Hydraulic Mean Depth for Full Flow is defined as the flow rate of a pipe when it's partially full to when it's completely full, indicating efficiency. 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 for Running Full (N), Roughness Coefficient Partially Full (n_p), Area of Partially Full Sewers (a), Area of Running Full Sewers (A), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf) 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 -> 0.960526 = (0.74/0.9)*(3.8/area_while_running_full)*(3.2/5.2)^(1/6).

FAQ

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

Discharge Ratio given Hydraulic Mean Depth for Full Flow is defined as the flow rate of a pipe when it's partially full to when it's completely full, indicating efficiency and is represented as qsQ_ratio = (N/n_p)*(a/A)*(r_pf/R_rf)^(1/6) or Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6). The Roughness Coefficient for Running Full accounts for uniform surface resistance affecting flow velocity and friction loss, Roughness Coefficient Partially Full means roughness coefficient of pipe while running partially full, The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations, The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid, Hydraulic Mean Depth for Partially Full refers to the cross-sectional area of flow divided by the wetted perimeter, adapting to varying water levels & Hydraulic Mean Depth while Running Full refers to the ratio of the pipe's full cross-sectional area to its full wetted perimeter.

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

Discharge Ratio given Hydraulic Mean Depth for Full Flow is defined as the flow rate of a pipe when it's partially full to when it's completely full, indicating efficiency is calculated using Discharge Ratio = (Roughness Coefficient for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6). To calculate Discharge Ratio given Hydraulic Mean Depth for Full Flow, you need Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (n_p), Area of Partially Full Sewers (a), Area of Running Full Sewers (A), Hydraulic Mean Depth for Partially Full (r_pf) & Hydraulic Mean Depth while Running Full (R_rf). With our tool, you need to enter the respective value for Roughness Coefficient for Running Full, Roughness Coefficient Partially Full, Area of Partially Full Sewers, Area of Running Full Sewers, Hydraulic Mean Depth for Partially Full & 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 for Running Full, Roughness Coefficient Partially Full, Area of Partially Full Sewers, Area of Running Full Sewers, Hydraulic Mean Depth for Partially Full & 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 for Running Full/Roughness Coefficient Partially Full)*(Area of Partially Full Sewers/Area of Running Full Sewers)*(Hydraulic Mean Depth Ratio)^(1/6)

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