Actual Velocity at Section 2 given Coefficient of Contraction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2)
v = Cv*sqrt(2*[g]*hventuri+(Vp2*Cc*ao/Ai)^2)
This formula uses 1 Constants, 1 Functions, 7 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
Actual Velocity - (Measured in Meter per Second) - The Actual Velocity refers to the velocity at which a microscopic particle of dust would be traveling if it were in the air stream.
Coefficient of Velocity - The Coefficient of Velocity refers to the ratio of the actual velocity of a fluid jet at the vena contracta (the point of minimum cross-sectional area) to the theoretical velocity of the jet.
Venturi Head - (Measured in Meter) - The Venturi head refers to the difference between pressure head at inlet and pressure head at the throat.
Velocity at Point 2 - (Measured in Meter per Second) - The Velocity at Point 2 refers to the direction of the movement of the body or the object.
Coefficient of Contraction - The Coefficient of Contraction refers to the ratio between the area of the jet at the vena contract and the area of the orifice.
Area of Orifice - (Measured in Square Meter) - The Area of Orifice refers to the any opening, mouth, hole or vent, as in a pipe, a plate, or a body.
Cross Section Area 1 - (Measured in Square Meter) - The Cross Section Area 1 refers to the area of cross section at the inlet of the structure (venturi meter or pipe).
STEP 1: Convert Input(s) to Base Unit
Coefficient of Velocity: 0.92 --> No Conversion Required
Venturi Head: 24 Millimeter --> 0.024 Meter (Check conversion ​here)
Velocity at Point 2: 34 Meter per Second --> 34 Meter per Second No Conversion Required
Coefficient of Contraction: 0.611 --> No Conversion Required
Area of Orifice: 4.4 Square Meter --> 4.4 Square Meter No Conversion Required
Cross Section Area 1: 7.1 Square Meter --> 7.1 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = Cv*sqrt(2*[g]*hventuri+(Vp2*Cc*ao/Ai)^2) --> 0.92*sqrt(2*[g]*0.024+(34*0.611*4.4/7.1)^2)
Evaluating ... ...
v = 11.8609131886333
STEP 3: Convert Result to Output's Unit
11.8609131886333 Meter per Second --> No Conversion Required
FINAL ANSWER
11.8609131886333 11.86091 Meter per Second <-- Actual Velocity
(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Orifice Meter Calculators

Theoretical Velocity at Section 1 in Orifice Meter
​ LaTeX ​ Go Velocity at Point 1 = sqrt((Velocity at Point 2^2)-(2*[g]*Venturi Head))
Theoretical Velocity at Section 2 in Orifice Meter
​ LaTeX ​ Go Velocity at Point 2 = sqrt(2*[g]*Venturi Head+Velocity at Point 1^2)
Area at Section 2 or at Vena Contracta
​ LaTeX ​ Go Cross Section Area 2 = Coefficient of Contraction*Area of Orifice
Actual Velocity given Theoretical Velocity at Section 2
​ LaTeX ​ Go Actual Velocity = Coefficient of Velocity*Velocity at Point 2

Actual Velocity at Section 2 given Coefficient of Contraction Formula

​LaTeX ​Go
Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2)
v = Cv*sqrt(2*[g]*hventuri+(Vp2*Cc*ao/Ai)^2)

What are the Advantages of using an Orifice meter?

Some advantages of using an Orifice meter include its simplicity, cost-effectiveness, and wide range of applications for measuring flow rates of liquids, gases, and steam in various industries.

How to Calculate Actual Velocity at Section 2 given Coefficient of Contraction?

Actual Velocity at Section 2 given Coefficient of Contraction calculator uses Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2) to calculate the Actual Velocity, The Actual Velocity at Section 2 given Coefficient of Contraction formula is defined as velocity measured through orifice meter. Actual Velocity is denoted by v symbol.

How to calculate Actual Velocity at Section 2 given Coefficient of Contraction using this online calculator? To use this online calculator for Actual Velocity at Section 2 given Coefficient of Contraction, enter Coefficient of Velocity (Cv), Venturi Head (hventuri), Velocity at Point 2 (Vp2), Coefficient of Contraction (Cc), Area of Orifice (ao) & Cross Section Area 1 (Ai) and hit the calculate button. Here is how the Actual Velocity at Section 2 given Coefficient of Contraction calculation can be explained with given input values -> 11.86091 = 0.92*sqrt(2*[g]*0.024+(34*0.611*4.4/7.1)^2).

FAQ

What is Actual Velocity at Section 2 given Coefficient of Contraction?
The Actual Velocity at Section 2 given Coefficient of Contraction formula is defined as velocity measured through orifice meter and is represented as v = Cv*sqrt(2*[g]*hventuri+(Vp2*Cc*ao/Ai)^2) or Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2). The Coefficient of Velocity refers to the ratio of the actual velocity of a fluid jet at the vena contracta (the point of minimum cross-sectional area) to the theoretical velocity of the jet, The Venturi head refers to the difference between pressure head at inlet and pressure head at the throat, The Velocity at Point 2 refers to the direction of the movement of the body or the object, The Coefficient of Contraction refers to the ratio between the area of the jet at the vena contract and the area of the orifice, The Area of Orifice refers to the any opening, mouth, hole or vent, as in a pipe, a plate, or a body & The Cross Section Area 1 refers to the area of cross section at the inlet of the structure (venturi meter or pipe).
How to calculate Actual Velocity at Section 2 given Coefficient of Contraction?
The Actual Velocity at Section 2 given Coefficient of Contraction formula is defined as velocity measured through orifice meter is calculated using Actual Velocity = Coefficient of Velocity*sqrt(2*[g]*Venturi Head+(Velocity at Point 2*Coefficient of Contraction*Area of Orifice/Cross Section Area 1)^2). To calculate Actual Velocity at Section 2 given Coefficient of Contraction, you need Coefficient of Velocity (Cv), Venturi Head (hventuri), Velocity at Point 2 (Vp2), Coefficient of Contraction (Cc), Area of Orifice (ao) & Cross Section Area 1 (Ai). With our tool, you need to enter the respective value for Coefficient of Velocity, Venturi Head, Velocity at Point 2, Coefficient of Contraction, Area of Orifice & Cross Section Area 1 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 Actual Velocity?
In this formula, Actual Velocity uses Coefficient of Velocity, Venturi Head, Velocity at Point 2, Coefficient of Contraction, Area of Orifice & Cross Section Area 1. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Actual Velocity = Coefficient of Velocity*Velocity at Point 2
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