Area of Cross-Section given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Running Full Sewers = Discharge when Pipe is Running Full/Velocity While Running Full
A = Q/V
This formula uses 3 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.
Discharge when Pipe is Running Full - (Measured in Cubic Meter per Second) - Discharge when Pipe is Running Full means water is flowing through the whole cross-section of pipe.
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.
STEP 1: Convert Input(s) to Base Unit
Discharge when Pipe is Running Full: 32.5 Cubic Meter per Second --> 32.5 Cubic Meter per Second No Conversion Required
Velocity While Running Full: 6.01 Meter per Second --> 6.01 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Q/V --> 32.5/6.01
Evaluating ... ...
A = 5.40765391014975
STEP 3: Convert Result to Output's Unit
5.40765391014975 Square Meter --> No Conversion Required
FINAL ANSWER
5.40765391014975 5.407654 Square Meter <-- Area of Running Full Sewers
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Circular Sewer Section Running Full Calculators

Diameter of pipe given Area of Cross-section
​ LaTeX ​ Go Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2)
Diameter of Pipe using Hydraulic Mean Depth
​ LaTeX ​ Go Diameter of Pipe = Hydraulic Mean Depth for Partially Full/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))))
Hydraulic Mean Depth using Central Angle
​ LaTeX ​ Go Hydraulic Mean Depth for Partially Full = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))
Discharge when Pipe is Running Full
​ LaTeX ​ Go Discharge when Pipe is Running Full = Velocity While Running Full*Area of Running Full Sewers

Area of Cross-Section given Discharge Formula

​LaTeX ​Go
Area of Running Full Sewers = Discharge when Pipe is Running Full/Velocity While Running Full
A = Q/V

What is discharge ?

Discharge is the volume of fluid flowing through a cross-section of a channel, pipe, or river per unit time, typically measured in cubic meters per second (m³/s) or gallons per minute (GPM). It is calculated as the product of flow area and velocity. Discharge is a key parameter in hydraulic engineering, influencing the design and operation of water conveyance systems, flood control, and environmental management.

How to Calculate Area of Cross-Section given Discharge?

Area of Cross-Section given Discharge calculator uses Area of Running Full Sewers = Discharge when Pipe is Running Full/Velocity While Running Full to calculate the Area of Running Full Sewers, The Area of Cross-Section given 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 given Discharge using this online calculator? To use this online calculator for Area of Cross-Section given Discharge, enter Discharge when Pipe is Running Full (Q) & Velocity While Running Full (V) and hit the calculate button. Here is how the Area of Cross-Section given Discharge calculation can be explained with given input values -> 8.75208 = 32.5/6.01.

FAQ

What is Area of Cross-Section given Discharge?
The Area of Cross-Section given Discharge is defined as the total cross-sectional area of the pipe when it is completely filled with fluid and is represented as A = Q/V or Area of Running Full Sewers = Discharge when Pipe is Running Full/Velocity While Running Full. Discharge when Pipe is Running Full means water is flowing through the whole cross-section of pipe & 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.
How to calculate Area of Cross-Section given Discharge?
The Area of Cross-Section given 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 = Discharge when Pipe is Running Full/Velocity While Running Full. To calculate Area of Cross-Section given Discharge, you need Discharge when Pipe is Running Full (Q) & Velocity While Running Full (V). With our tool, you need to enter the respective value for Discharge when Pipe is Running Full & Velocity While Running Full 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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