Inlet Area given Theoretical Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Section Area 1 = sqrt(((Theoretical Discharge*Cross Section Area 2)^2)/((Theoretical Discharge)^2-(Cross Section Area 2^2*2*[g]*Venturi Head)))
Ai = sqrt(((Qth*Af)^2)/((Qth)^2-(Af^2*2*[g]*hventuri)))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Cross Section Area 1 - (Measured in Square Meter) - Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).
Theoretical Discharge - (Measured in Cubic Meter per Second) - The Theoretical Discharge is given by the theoretical area and velocity.
Cross Section Area 2 - (Measured in Square Meter) - Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure.
Venturi Head - (Measured in Meter) - Venturi headt is the difference between pressure head at inlet and pressure head at the throat.
STEP 1: Convert Input(s) to Base Unit
Theoretical Discharge: 1.277 Cubic Meter per Second --> 1.277 Cubic Meter per Second No Conversion Required
Cross Section Area 2: 1.8 Square Meter --> 1.8 Square Meter No Conversion Required
Venturi Head: 24 Millimeter --> 0.024 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ai = sqrt(((Qth*Af)^2)/((Qth)^2-(Af^2*2*[g]*hventuri))) --> sqrt(((1.277*1.8)^2)/((1.277)^2-(1.8^2*2*[g]*0.024)))
Evaluating ... ...
Ai = 7.07349298747947
STEP 3: Convert Result to Output's Unit
7.07349298747947 Square Meter --> No Conversion Required
FINAL ANSWER
7.07349298747947 7.073493 Square Meter <-- Cross Section Area 1
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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10+ Venturimeter Calculators

Theoretical Discharge through Pipe
Go Theoretical Discharge = (Cross Section Area 1*Cross Section Area 2*(sqrt(2*[g]*Venturi Head)))/(sqrt((Cross Section Area 1)^(2)-(Cross Section Area 2)^(2)))
Venturi Head given Theoretical Discharge through Pipe
Go Venturi Head = ((Theoretical Discharge/(Cross Section Area 1*Cross Section Area 2))*(sqrt(((Cross Section Area 1)^2-(Cross Section Area 2)^2)/(2*[g]))))^2
Inlet Area given Theoretical Discharge
Go Cross Section Area 1 = sqrt(((Theoretical Discharge*Cross Section Area 2)^2)/((Theoretical Discharge)^2-(Cross Section Area 2^2*2*[g]*Venturi Head)))
Throat area given Theoretical Discharge
Go Cross Section Area 2 = sqrt((Cross Section Area 1*Theoretical Discharge)^2/((Cross Section Area 1^2*2*[g]*Venturi Head)+Theoretical Discharge^2))
Venturi Head given Difference in Levels of Manometric Liquid in Two Limbs
Go Venturi Head = Length of Venturimeter*(Weight per unit Volume of Manometer Fluid/Specific Weight of Liquid-1)
Density of Manometric Liquid given Venturi Head
Go Weight per unit Volume of Manometer Fluid = Specific Weight of Liquid*(Venturi Head/Length of Venturimeter+1)
Density of Liquid in Pipe given Venturi Head
Go Specific Weight of Liquid = Weight per unit Volume of Manometer Fluid/(Venturi Head/Length of Venturimeter+1)
Theoretical Discharge given Coefficient of Discharge
Go Theoretical Discharge = Actual Discharge/Coefficient of Discharge
Actual Discharge given Coefficient of Discharge
Go Actual Discharge = Theoretical Velocity*Coefficient of Discharge
Coefficient of Discharge given Discharges
Go Coefficient of Discharge = Actual Discharge/Theoretical Velocity

Inlet Area given Theoretical Discharge Formula

Cross Section Area 1 = sqrt(((Theoretical Discharge*Cross Section Area 2)^2)/((Theoretical Discharge)^2-(Cross Section Area 2^2*2*[g]*Venturi Head)))
Ai = sqrt(((Qth*Af)^2)/((Qth)^2-(Af^2*2*[g]*hventuri)))

What is Conservation of Energy?

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. When the pendulum swings back down, the potential energy is converted back into kinetic energy. At all times, the sum of potential and kinetic energy is constant.

How to Calculate Inlet Area given Theoretical Discharge?

Inlet Area given Theoretical Discharge calculator uses Cross Section Area 1 = sqrt(((Theoretical Discharge*Cross Section Area 2)^2)/((Theoretical Discharge)^2-(Cross Section Area 2^2*2*[g]*Venturi Head))) to calculate the Cross Section Area 1, Inlet area given theoretical discharge is defined as the area at a particular section of pipe. Cross Section Area 1 is denoted by Ai symbol.

How to calculate Inlet Area given Theoretical Discharge using this online calculator? To use this online calculator for Inlet Area given Theoretical Discharge, enter Theoretical Discharge (Qth), Cross Section Area 2 (Af) & Venturi Head (hventuri) and hit the calculate button. Here is how the Inlet Area given Theoretical Discharge calculation can be explained with given input values -> 7.073493 = sqrt(((1.277*1.8)^2)/((1.277)^2-(1.8^2*2*[g]*0.024))) .

FAQ

What is Inlet Area given Theoretical Discharge?
Inlet area given theoretical discharge is defined as the area at a particular section of pipe and is represented as Ai = sqrt(((Qth*Af)^2)/((Qth)^2-(Af^2*2*[g]*hventuri))) or Cross Section Area 1 = sqrt(((Theoretical Discharge*Cross Section Area 2)^2)/((Theoretical Discharge)^2-(Cross Section Area 2^2*2*[g]*Venturi Head))). The Theoretical Discharge is given by the theoretical area and velocity, Cross Section Area 2 is defined as the area of cross-section at the throat (venturimeter) of the structure & Venturi headt is the difference between pressure head at inlet and pressure head at the throat.
How to calculate Inlet Area given Theoretical Discharge?
Inlet area given theoretical discharge is defined as the area at a particular section of pipe is calculated using Cross Section Area 1 = sqrt(((Theoretical Discharge*Cross Section Area 2)^2)/((Theoretical Discharge)^2-(Cross Section Area 2^2*2*[g]*Venturi Head))). To calculate Inlet Area given Theoretical Discharge, you need Theoretical Discharge (Qth), Cross Section Area 2 (Af) & Venturi Head (hventuri). With our tool, you need to enter the respective value for Theoretical Discharge, Cross Section Area 2 & Venturi Head 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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