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Proportionate Discharge given Area of Cross-Section Formula

GoProportionate Discharge using Discharge when Pipe Running Full Formula

GoProportionate Discharge given Central Angle Formula

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Proportionate Discharge is the ratio of discharge while running partially full to running full. Check FAQs

P q = \frac{V s \cdot a}{V \cdot A}

P_q - Proportionate Discharge?V_s - Velocity in a Partially Running Sewer?a - Area of Partially Full Sewers?V - Velocity While Running Full?A - Area of Running Full Sewers?

Proportionate Discharge given Area of Cross-Section Example

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Here is how the Proportionate Discharge given Area of Cross-Section equation looks like with Values.

Here is how the Proportionate Discharge given Area of Cross-Section equation looks like with Units.

Here is how the Proportionate Discharge given Area of Cross-Section equation looks like.

0.5386 = \frac{4.6 \cdot 3.8}{6.01 \cdot 5.4}

0.5386 = \frac{4.6m/s \cdot 3.8m²}{6.01m/s \cdot 5.4m²}

0.5386 = \frac{4.6 \cdot 3.8}{6.01 \cdot 5.4}

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Proportionate Discharge given Area of Cross-Section Solution

Follow our step by step solution on how to calculate Proportionate Discharge given Area of Cross-Section?

FIRST Step Consider the formula

P q = \frac{V s \cdot a}{V \cdot A}

Next Step Substitute values of Variables

∴

P q = \frac{4.6m/s \cdot 3.8m²}{6.01m/s \cdot 5.4m²}

Next Step Prepare to Evaluate

∴

P q = \frac{4.6 \cdot 3.8}{6.01 \cdot 5.4}

Next Step Evaluate

∴

P q = 0.538608492019474

LAST Step Rounding Answer

∴

P q = 0.5386

Proportionate Discharge given Area of Cross-Section Formula Elements

Variables

Proportionate Discharge

Proportionate Discharge is the ratio of discharge while running partially full to running full.

Symbol: P_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportionate Discharge

Velocity in a Partially Running Sewer

Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity in a Partially Running Sewer

Area of Partially Full Sewers

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.

Symbol: a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Partially Full Sewers

Velocity While Running Full

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.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity While Running Full

Area of Running Full Sewers

The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Running Full Sewers

Other Formulas to find Proportionate Discharge

Go Proportionate Discharge using Discharge when Pipe Running Full

P q = \frac{q}{Q}

Go Proportionate Discharge given Central Angle

P q = ((\frac{∠ central}{360 \cdot \frac{π}{180}}) - (\frac{\sin (∠ central)}{2 \cdot π})) \cdot (1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central})

Other formulas in Proportionate Discharge category

Go Discharge when Pipe is Running Full using Proportionate Discharge

Q = (\frac{q}{P q})

Go Area of Cross-section while Running Full given Proportionate Discharge

A = \frac{a \cdot V s}{V \cdot P q}

Go Velocity while Running Full given Proportionate Discharge

V = \frac{V s \cdot a}{P q \cdot A}

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

Proportionate Discharge given Area of Cross-Section evaluator uses Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers) to evaluate 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 P_q symbol.

How to evaluate Proportionate Discharge given Area of Cross-Section using this online evaluator? To use this online evaluator for Proportionate Discharge given Area of Cross-Section, enter Velocity in a Partially Running Sewer (V_s), Area of Partially Full Sewers (a), Velocity While Running Full (V) & Area of Running Full Sewers (A) and hit the calculate button.

FAQs on Proportionate Discharge given Area of Cross-Section

What is the formula to find Proportionate Discharge given Area of Cross-Section?

The formula of Proportionate Discharge given Area of Cross-Section is expressed as Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers). Here is an example- 0.538608 = (4.6*3.8)/(6.01*5.4).

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

With Velocity in a Partially Running Sewer (V_s), Area of Partially Full Sewers (a), Velocity While Running Full (V) & Area of Running Full Sewers (A) we can find Proportionate Discharge given Area of Cross-Section using the formula - Proportionate Discharge = (Velocity in a Partially Running Sewer*Area of Partially Full Sewers)/(Velocity While Running Full*Area of Running Full Sewers).

What are the other ways to Calculate Proportionate Discharge?

Here are the different ways to Calculate Proportionate Discharge-

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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Proportionate Discharge given Area of Cross-Section Formula

​GoProportionate Discharge using Discharge when Pipe Running Full Formula

​GoProportionate Discharge given Central Angle Formula

Proportionate Discharge given Area of Cross-Section Example

Proportionate Discharge given Area of Cross-Section Solution

Proportionate Discharge given Area of Cross-Section Formula Elements

Other Formulas to find Proportionate Discharge

Other formulas in Proportionate Discharge category

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

FAQs on Proportionate Discharge given Area of Cross-Section

Variable Name

GoProportionate Discharge using Discharge when Pipe Running Full Formula

GoProportionate Discharge given Central Angle Formula