Discharge of Full Flow given Hydraulic Mean Depth Ratio 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 Ratio)^(1/6))
Q = q/((N/np)*(a/A)*(R)^(1/6))
This formula uses 7 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 Ratio - The Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.
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 Ratio: 0.61 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = q/((N/np)*(a/A)*(R)^(1/6)) --> 17.48/((0.74/0.9)*(3.8/5.4)*(0.61)^(1/6))
Evaluating ... ...
Q = 32.8050528717626
STEP 3: Convert Result to Output's Unit
32.8050528717626 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
32.8050528717626 32.80505 Cubic Meter per Second <-- Discharge when Pipe is Running Full
(Calculation completed in 00.004 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
​ 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 Ratio)^(1/6))
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 of Full Flow given Hydraulic Mean Depth Ratio Formula

​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))
Q = q/((N/np)*(a/A)*(R)^(1/6))

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 Discharge of Full Flow given Hydraulic Mean Depth Ratio?

Discharge of Full Flow given Hydraulic Mean Depth Ratio 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 Ratio)^(1/6)) to calculate the Discharge when Pipe is Running Full, Discharge of Full Flow given Hydraulic Mean Depth Ratio 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 Ratio using this online calculator? To use this online calculator for Discharge of Full Flow given Hydraulic Mean Depth Ratio, enter Discharge when Pipe is Running Partially Full (q), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np), Area of Partially Full Sewers (a), Area of Running Full Sewers (A) & Hydraulic Mean Depth Ratio (R) and hit the calculate button. Here is how the Discharge of Full Flow given Hydraulic Mean Depth Ratio calculation can be explained with given input values -> 52.54814 = 17.48/((0.74/0.9)*(3.8/5.4)*(0.61)^(1/6)).

FAQ

What is Discharge of Full Flow given Hydraulic Mean Depth Ratio?
Discharge of Full Flow given Hydraulic Mean Depth Ratio 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/np)*(a/A)*(R)^(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 Ratio)^(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 & The Hydraulic Mean Depth Ratio refers to the ratio of the hydraulic mean depth for a partially full pipe to that when it's running full.
How to calculate Discharge of Full Flow given Hydraulic Mean Depth Ratio?
Discharge of Full Flow given Hydraulic Mean Depth Ratio 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 Ratio)^(1/6)). To calculate Discharge of Full Flow given Hydraulic Mean Depth Ratio, you need Discharge when Pipe is Running Partially Full (q), Roughness Coefficient for Running Full (N), Roughness Coefficient Partially Full (np), Area of Partially Full Sewers (a), Area of Running Full Sewers (A) & Hydraulic Mean Depth Ratio (R). 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 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 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 Ratio. 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 for Partially Full/Hydraulic Mean Depth while Running Full)^(1/6))
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