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Proportionate Discharge given Area of Cross-Section Calculator

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Circular Sewer Section Running Full Circular Sewer Section Running Partially Full

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Proportionate Discharge Proportionate Area Proportionate Depth Proportionate Hydraulic Mean Depth More >>

✖Velocity while running partially full means the velocity of water through pipe while running partially full.ⓘ Velocity while running partially full [v]			+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%
✖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.ⓘ Velocity While Running Full [V]			+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%

✖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 = \frac{v \cdot a}{V \cdot A}

Example

0.234178 = \frac{2 m/s \cdot 3.8 m²}{6.01 m/s \cdot 5.4 m²}

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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 Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers)
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 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 while running partially full: 2 Meter per Second --> 2 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

P_q = (v*a)/(V*A) --> (2*3.8)/(6.01*5.4)

Evaluating ... ...

P_q = 0.234177605225858

STEP 3: Convert Result to Output's Unit

0.234177605225858 --> No Conversion Required

FINAL ANSWER

0.234177605225858 ≈ 0.234178 <-- Proportionate discharge

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 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))

Proportionate Discharge given Area of Cross-Section

Go Proportionate discharge = (Velocity while running partially full*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers)

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 Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers)
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 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 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 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 -> 0.42152 = (2*3.8)/(6.01*area_while_running_full).

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 Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers). Velocity while running partially full means the velocity of water through 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, 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 calculates the proportionate discharge when we have prior information of other parameters is calculated using Proportionate discharge = (Velocity while running partially full*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 while running partially full (v), 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 while running partially full, 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 while running partially full, 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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