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

STEP 0: Pre-Calculation Summary
Formula Used
Area of Running Full Sewers = (Area of Partially Full Sewers*Velocity in a Partially Running Sewer)/(Velocity While Running Full*Proportionate Discharge)
A = (a*Vs)/(V*Pq)
This formula uses 5 Variables
Variables Used
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.
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 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.
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.
Proportionate Discharge - Proportionate Discharge is the ratio of discharge while running partially full to running full.
STEP 1: Convert Input(s) to Base Unit
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Velocity in a Partially Running Sewer: 4.6 Meter per Second --> 4.6 Meter per Second No Conversion Required
Velocity While Running Full: 6.01 Meter per Second --> 6.01 Meter per Second No Conversion Required
Proportionate Discharge: 0.538 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (a*Vs)/(V*Pq) --> (3.8*4.6)/(6.01*0.538)
Evaluating ... ...
A = 5.40610754071591
STEP 3: Convert Result to Output's Unit
5.40610754071591 Square Meter --> No Conversion Required
FINAL ANSWER
5.40610754071591 5.406108 Square Meter <-- Area of Running Full Sewers
(Calculation completed in 00.008 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

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

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

What is proportionate discharge?

Proportionate discharge for partially and fully running pipes is the ratio of the flow rate in a partially filled pipe to the flow rate when the pipe is fully filled. This ratio is essential for understanding and predicting the flow behavior under different filling conditions, helping to optimize the design and performance of piping systems, especially in sewers and drainage where pipes may not always run at full capacity. It aids in ensuring efficient operation and accurate flow management.

How to Calculate Area of Cross-section while Running Full given Proportionate Discharge?

Area of Cross-section while Running Full given Proportionate Discharge calculator uses Area of Running Full Sewers = (Area of Partially Full Sewers*Velocity in a Partially Running Sewer)/(Velocity While Running Full*Proportionate Discharge) to calculate the Area of Running Full Sewers, Area of Cross-section while Running Full given Proportionate Discharge is defined as the total cross-sectional area of the pipe when it is completely filled with fluid. Area of Running Full Sewers is denoted by A symbol.

How to calculate Area of Cross-section while Running Full given Proportionate Discharge using this online calculator? To use this online calculator for Area of Cross-section while Running Full given Proportionate Discharge, enter Area of Partially Full Sewers (a), Velocity in a Partially Running Sewer (Vs), Velocity While Running Full (V) & Proportionate Discharge (Pq) and hit the calculate button. Here is how the Area of Cross-section while Running Full given Proportionate Discharge calculation can be explained with given input values -> 5.467079 = (3.8*4.6)/(6.01*0.538).

FAQ

What is Area of Cross-section while Running Full given Proportionate Discharge?
Area of Cross-section while Running Full given Proportionate Discharge is defined as the total cross-sectional area of the pipe when it is completely filled with fluid and is represented as A = (a*Vs)/(V*Pq) or Area of Running Full Sewers = (Area of Partially Full Sewers*Velocity in a Partially Running Sewer)/(Velocity While Running Full*Proportionate Discharge). 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 in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope, 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 & Proportionate Discharge is the ratio of discharge while running partially full to running full.
How to calculate Area of Cross-section while Running Full given Proportionate Discharge?
Area of Cross-section while Running Full given Proportionate Discharge is defined as the total cross-sectional area of the pipe when it is completely filled with fluid is calculated using Area of Running Full Sewers = (Area of Partially Full Sewers*Velocity in a Partially Running Sewer)/(Velocity While Running Full*Proportionate Discharge). To calculate Area of Cross-section while Running Full given Proportionate Discharge, you need Area of Partially Full Sewers (a), Velocity in a Partially Running Sewer (Vs), Velocity While Running Full (V) & Proportionate Discharge (Pq). With our tool, you need to enter the respective value for Area of Partially Full Sewers, Velocity in a Partially Running Sewer, Velocity While Running Full & Proportionate Discharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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