Proportionate Discharge given Area of Cross-Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers)
Pq = (Vs*a)/(V*A)
This formula uses 5 Variables
Variables Used
Proportionate Discharge - Proportionate Discharge is the ratio of discharge while running partially full to running full.
Velocity in a Partially Running Sewer - (Measured in Meter per Second) - Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.
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.
Velocity While Running Full - (Measured in Meter per Second) - Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness.
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.
STEP 1: Convert Input(s) to Base Unit
Velocity in a Partially Running Sewer: 4.6 Meter per Second --> 4.6 Meter per Second No Conversion Required
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Velocity While Running Full: 6.01 Meter per Second --> 6.01 Meter per Second No Conversion Required
Area of Running Full Sewers: 5.4 Square Meter --> 5.4 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pq = (Vs*a)/(V*A) --> (4.6*3.8)/(6.01*5.4)
Evaluating ... ...
Pq = 0.538608492019474
STEP 3: Convert Result to Output's Unit
0.538608492019474 --> No Conversion Required
FINAL ANSWER
0.538608492019474 0.538608 <-- Proportionate Discharge
(Calculation completed in 00.004 seconds)

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Proportionate Discharge Calculators

Proportionate Discharge given Central Angle
​ LaTeX ​ Go Proportionate Discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))
Proportionate Discharge given Area of Cross-Section
​ LaTeX ​ Go Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers)
Discharge when Pipe is Running Full using Proportionate Discharge
​ LaTeX ​ Go Discharge when Pipe is Running Full = (Discharge when Pipe is Running Partially Full/Proportionate Discharge)
Proportionate Discharge using Discharge when Pipe Running Full
​ LaTeX ​ Go Proportionate Discharge = Discharge when Pipe is Running Partially Full/Discharge when Pipe is Running Full

Proportionate Discharge given Area of Cross-Section Formula

​LaTeX ​Go
Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers)
Pq = (Vs*a)/(V*A)

What is discharge ?

A direct discharge means that the wastewater goes into waters of the state (groundwater, streams, lakes, rivers, etc.) without treatment from a POTW. This includes through a storm sewer system that enters waters of the state (See Separate Sewer System picture on next page), a ditch or other conveyance.

How to Calculate Proportionate Discharge given Area of Cross-Section?

Proportionate Discharge given Area of Cross-Section calculator uses Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers) to calculate the Proportionate Discharge, The Proportionate Discharge given Area of Cross-Section is defined as the ratio of the flow rate in a partially filled pipe to the flow rate when the pipe is fully filled. Proportionate Discharge is denoted by Pq symbol.

How to calculate Proportionate Discharge given Area of Cross-Section using this online calculator? To use this online calculator for Proportionate Discharge given Area of Cross-Section, enter Velocity in a Partially Running Sewer (Vs), Area of Partially Full Sewers (a), Velocity While Running Full (V) & Area of Running Full Sewers (A) and hit the calculate button. Here is how the Proportionate Discharge given Area of Cross-Section calculation can be explained with given input values -> 0.538608 = (4.6*3.8)/(6.01*5.4).

FAQ

What is Proportionate Discharge given Area of Cross-Section?
The Proportionate Discharge given Area of Cross-Section is defined as the ratio of the flow rate in a partially filled pipe to the flow rate when the pipe is fully filled and is represented as Pq = (Vs*a)/(V*A) or Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers). Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope, 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, Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness & The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.
How to calculate Proportionate Discharge given Area of Cross-Section?
The Proportionate Discharge given Area of Cross-Section is defined as the ratio of the flow rate in a partially filled pipe to the flow rate when the pipe is fully filled is calculated using Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers). To calculate Proportionate Discharge given Area of Cross-Section, you need Velocity in a Partially Running Sewer (Vs), Area of Partially Full Sewers (a), Velocity While Running Full (V) & Area of Running Full Sewers (A). With our tool, you need to enter the respective value for Velocity in a Partially Running Sewer, Area of Partially Full Sewers, Velocity While Running Full & Area of Running Full Sewers 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 Proportionate Discharge?
In this formula, Proportionate Discharge uses Velocity in a Partially Running Sewer, Area of Partially Full Sewers, Velocity While Running Full & Area of Running Full Sewers. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Proportionate Discharge = Discharge when Pipe is Running Partially Full/Discharge when Pipe is Running Full
  • Proportionate Discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))
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