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Discharge of Full Flow given Hydraulic Mean Depth for Partial 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

✖Discharge when Pipe is Running Partially Full means water is flowing partially form the pipe.ⓘ Discharge when Pipe is Running Partially Full [q]			+10% -10%
✖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 when Pipe is Running Full means water is flowing through the whole cross-section of pipe.ⓘ Discharge of Full Flow given Hydraulic Mean Depth for Partial flow [Q]

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Formula

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Discharge of Full Flow given Hydraulic Mean Depth for Partial flow

Formula

Q = \frac{q}{(\frac{N}{n p}) \cdot (\frac{a}{A}) \cdot {(\frac{r pf}{R rf})}^{\frac{1}{6}}}

Example

32.75704 m³/s = \frac{17.48 m³/s}{(\frac{0.74}{0.9}) \cdot (\frac{3.8 m²}{5.4 m²}) \cdot {(\frac{3.2 m}{5.2 m})}^{\frac{1}{6}}}

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Discharge of Full Flow given Hydraulic Mean Depth for Partial flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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 for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))
Q = q/((N/n_p)*(a/A)*(r_pf/R_rf)^(1/6))
This formula uses 8 Variables

Variables Used

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.
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.
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

Discharge when Pipe is Running Partially Full: 17.48 Cubic Meter per Second --> 17.48 Cubic Meter per Second No Conversion Required
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

Q = q/((N/n_p)*(a/A)*(r_pf/R_rf)^(1/6)) --> 17.48/((0.74/0.9)*(3.8/5.4)*(3.2/5.2)^(1/6))

Evaluating ... ...

Q = 32.7570368119535

STEP 3: Convert Result to Output's Unit

32.7570368119535 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

32.7570368119535 ≈ 32.75704 Cubic Meter per Second <-- Discharge when Pipe is Running 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 » Discharge of Full Flow given Hydraulic Mean Depth for Partial flow

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< Discharge and Discharge Ratio through Circular Sewer Calculators

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 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

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

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 of Full Flow given Hydraulic Mean Depth for Partial flow Formula

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 of Full Flow given Hydraulic Mean Depth for Partial flow?

Discharge of Full Flow given Hydraulic Mean Depth for Partial flow calculator uses 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 for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)) to calculate the Discharge when Pipe is Running Full, Discharge of Full Flow given Hydraulic Mean Depth for Partial flow is defined as the volume of fluid passing through a completely filled pipe per unit time, depending on velocity and area. Discharge when Pipe is Running Full is denoted by Q symbol.

How to calculate Discharge of Full Flow given Hydraulic Mean Depth for Partial flow using this online calculator? To use this online calculator for Discharge of Full Flow given Hydraulic Mean Depth for Partial flow, enter Discharge when Pipe is Running Partially Full (q), 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 of Full Flow given Hydraulic Mean Depth for Partial flow calculation can be explained with given input values -> 52.47123 = 17.48/((0.74/0.9)*(3.8/5.4)*(3.2/5.2)^(1/6)).

FAQ

What is Discharge of Full Flow given Hydraulic Mean Depth for Partial flow?

Discharge of Full Flow given Hydraulic Mean Depth for Partial flow is defined as the volume of fluid passing through a completely filled pipe per unit time, depending on velocity and area and is represented as Q = q/((N/n_p)*(a/A)*(r_pf/R_rf)^(1/6)) or 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 for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)). Discharge when Pipe is Running Partially Full means water is flowing partially form the pipe, 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 of Full Flow given Hydraulic Mean Depth for Partial flow?

Discharge of Full Flow given Hydraulic Mean Depth for Partial flow is defined as the volume of fluid passing through a completely filled pipe per unit time, depending on velocity and area is calculated using 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 for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6)). To calculate Discharge of Full Flow given Hydraulic Mean Depth for Partial flow, you need Discharge when Pipe is Running Partially Full (q), 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 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 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 when Pipe is Running Full?

In this formula, Discharge when Pipe is Running Full uses 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 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 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))

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