Proportionate Discharge given Area of Cross-Section Calculator

✖Velocity while running partially full means the velocity of water through pipe while running partially full.ⓘ Velocity while running partially full [v]			+10% -10%
✖Area of cross-section while running partially full.ⓘ Area of cross-section [a]			+10% -10%
✖Velocity while running full means when velocity of water through pipe while running full.ⓘ Velocity while running full [V]			+10% -10%
✖Area of cross-section of pipe while running full.ⓘ Area of cross-section of pipe [A]			+10% -10%

✖Proportionate discharge is the ratio of discharge while running partially full to running full.ⓘ Proportionate Discharge given Area of Cross-Section [P_q]

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Formula

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Proportionate Discharge given Area of Cross-Section

Formula

`"P"_{"q"} = ("v"*"a")/("V"*"A")`

Example

`"0.333333"=("2m/s"*"5m²")/("10m/s"*"3m²")`

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Proportionate Discharge given Area of Cross-Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Proportionate discharge = (Velocity while running partially full*Area of cross-section)/(Velocity while running full*Area of cross-section of pipe)
P_q = (v*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 while running partially full - (Measured in Meter per Second) - Velocity while running partially full means the velocity of water through pipe while running partially full.
Area of cross-section - (Measured in Square Meter) - Area of cross-section while running partially full.
Velocity while running full - (Measured in Meter per Second) - Velocity while running full means when velocity of water through pipe while running full.
Area of cross-section of pipe - (Measured in Square Meter) - Area of cross-section of pipe while running full.

STEP 1: Convert Input(s) to Base Unit

Velocity while running partially full: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Area of cross-section: 5 Square Meter --> 5 Square Meter No Conversion Required
Velocity while running full: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Area of cross-section of pipe: 3 Square Meter --> 3 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_q = (v*a)/(V*A) --> (2*5)/(10*3)

Evaluating ... ...

P_q = 0.333333333333333

STEP 3: Convert Result to Output's Unit

0.333333333333333 --> No Conversion Required

FINAL ANSWER

0.333333333333333 ≈ 0.333333 <-- Proportionate discharge

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 6 Proportionate Discharge Calculators

Proportionate Discharge given Central Angle

Go Proportionate discharge = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))*(1-((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))

Area of Cross-section while Running Full given Proportionate Discharge

Go Area of cross-section of pipe = (Area of cross-section*Velocity while running partially full)/(Velocity while running full*Proportionate discharge)

Velocity while Running Full given Proportionate Discharge

Go Velocity while running full = (Velocity while running partially full*Area of cross-section)/(Proportionate discharge*Area of cross-section of pipe)

Proportionate Discharge given Area of Cross-Section

Go Proportionate discharge = (Velocity while running partially full*Area of cross-section)/(Velocity while running full*Area of cross-section of pipe)

Discharge when Pipe is Running Full using Proportionate Discharge

Go Discharge when pipe is running full = (Discharge when pipe is running partially full/Proportionate discharge)

Proportionate Discharge using Discharge when Pipe is Running Full

Go Proportionate discharge = Discharge when pipe is running partially full/Discharge when pipe is running full

Proportionate Discharge given Area of Cross-Section Formula

Proportionate discharge = (Velocity while running partially full*Area of cross-section)/(Velocity while running full*Area of cross-section of pipe)
P_q = (v*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 while running partially full*Area of cross-section)/(Velocity while running full*Area of cross-section of pipe) to calculate the Proportionate discharge, The Proportionate Discharge given Area of Cross-Section calculates the proportionate discharge when we have prior information of other parameters. Proportionate discharge is denoted by P_q 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 while running partially full (v), Area of cross-section (a), Velocity while running full (V) & Area of cross-section of pipe (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 -> 0.333333 = (2*5)/(10*3).

FAQ

What is Proportionate Discharge given Area of Cross-Section?

The Proportionate Discharge given Area of Cross-Section calculates the proportionate discharge when we have prior information of other parameters and is represented as P_q = (v*a)/(V*A) or Proportionate discharge = (Velocity while running partially full*Area of cross-section)/(Velocity while running full*Area of cross-section of pipe). Velocity while running partially full means the velocity of water through pipe while running partially full, Area of cross-section while running partially full, Velocity while running full means when velocity of water through pipe while running full & Area of cross-section of pipe while running full.

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

The Proportionate Discharge given Area of Cross-Section calculates the proportionate discharge when we have prior information of other parameters is calculated using Proportionate discharge = (Velocity while running partially full*Area of cross-section)/(Velocity while running full*Area of cross-section of pipe). To calculate Proportionate Discharge given Area of Cross-Section, you need Velocity while running partially full (v), Area of cross-section (a), Velocity while running full (V) & Area of cross-section of pipe (A). With our tool, you need to enter the respective value for Velocity while running partially full, Area of cross-section, Velocity while running full & Area of cross-section of pipe 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 while running partially full, Area of cross-section, Velocity while running full & Area of cross-section of pipe. 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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