Actual Velocity at Section 2 given Coefficient of Contraction Calculator

✖The Coefficient of Velocity is the ratio of actual velocity to theoretical velocity.ⓘ Coefficient of Velocity [C_v]			+10% -10%
✖Venturi headt is the difference between pressure head at inlet and pressure head at the throat.ⓘ Venturi Head [h_venturi]			+10% -10%
✖Velocity at Point 2 defines the direction of the movement of the body or the object.ⓘ Velocity at Point 2 [V_p2]			+10% -10%
✖The coefficient of Contraction is ratio between the area of the jet at the vena contract and the area of the orifice.ⓘ Coefficient of Contraction [C_c]			+10% -10%
✖Area of Orifice is the any opening, mouth, hole or vent, as in a pipe, a plate, or a body.ⓘ Area of Orifice [a_o]			+10% -10%
✖Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).ⓘ Cross Section Area 1 [A_i]			+10% -10%

✖Actual Velocity is the velocity at which a microscopic particle of dust would be traveling if it were in the air stream.ⓘ Actual Velocity at Section 2 given Coefficient of Contraction [v]

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Formula

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Actual Velocity at Section 2 given Coefficient of Contraction

Formula

`"v" = "C"_{"v"}*sqrt(2*"[g]"*"h"_{"venturi"}+("V"_{"p2"}*"C"_{"c"}*"a"_{"o"}/"A"_{"i"})^2)`

Example

`"11.86091m/s"="0.92"*sqrt(2*"[g]"*"24mm"+("34m/s"*"0.611"*"4.4m²"/"7.1m²")^2)`

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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 = C_v*sqrt(2*[g]*h_venturi+(V_p2*C_c*a_o/A_i)^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) - Actual Velocity is 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 is the ratio of actual velocity to theoretical velocity.
Venturi Head - (Measured in Meter) - Venturi headt is the difference between pressure head at inlet and pressure head at the throat.
Velocity at Point 2 - (Measured in Meter per Second) - Velocity at Point 2 defines the direction of the movement of the body or the object.
Coefficient of Contraction - The coefficient of Contraction is ratio between the area of the jet at the vena contract and the area of the orifice.
Area of Orifice - (Measured in Square Meter) - Area of Orifice is the any opening, mouth, hole or vent, as in a pipe, a plate, or a body.
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).

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 = C_v*sqrt(2*[g]*h_venturi+(V_p2*C_c*a_o/A_i)^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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Home » Engineering » Civil » Hydraulics and Waterworks » Equations of Motion and Energy Equation » Orifice Meter » Actual Velocity at Section 2 given Coefficient of Contraction

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Indian Institute of Information Technology (IIIT), Bhopal

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< 11 Orifice Meter Calculators

Actual Velocity at Section 2 given Coefficient of Contraction

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)

Discharge through Pipe given Coefficient of Discharge

Go Discharge through Orifice = Coefficient of Discharge*Width of Pipe*(Height of Liquid Bottom Edge-Height of Liquid Top Edge)*(sqrt(2*9.81*Difference in Liquid Level))

Theoretical Velocity at Section 1 in Orifice Meter

Go Velocity at Point 1 = sqrt((Velocity at Point 2^2)-(2*[g]*Venturi Head))

Theoretical Velocity at Section 2 in Orifice Meter

Go Velocity at Point 2 = sqrt(2*[g]*Venturi Head+Velocity at Point 1^2)

Coefficient of Discharge given Coefficient of Contraction

Go Coefficient of Discharge = Coefficient of Velocity*Coefficient of Contraction

Coefficient of Contraction given Coefficient of Discharge

Go Coefficient of Contraction = Coefficient of Discharge/Coefficient of Velocity

Coefficient of Velocity given Coefficient of Discharge

Go Coefficient of Velocity = Coefficient of Discharge/Coefficient of Contraction

Coefficient of Contraction

Go Coefficient of Contraction = Coefficient of Discharge/Coefficient of Velocity

Area of Orifice given Area at Section 2 or at Vena Contracta

Go Area of Orifice = Cross Section Area 2/Coefficient of Contraction

Area at Section 2 or at Vena Contracta

Go Cross Section Area 2 = Coefficient of Contraction*Area of Orifice

Actual Velocity given Theoretical Velocity at Section 2

Go Actual Velocity = Coefficient of Velocity*Velocity at Point 2

Actual Velocity at Section 2 given Coefficient of Contraction Formula

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 is defined as velocity measured through orificemeter. 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 (C_v), Venturi Head (h_venturi), Velocity at Point 2 (V_p2), Coefficient of Contraction (C_c), Area of Orifice (a_o) & Cross Section Area 1 (A_i) 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 is defined as velocity measured through orificemeter and is represented as v = C_v*sqrt(2*[g]*h_venturi+(V_p2*C_c*a_o/A_i)^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 is the ratio of actual velocity to theoretical velocity, Venturi headt is the difference between pressure head at inlet and pressure head at the throat, Velocity at Point 2 defines the direction of the movement of the body or the object, The coefficient of Contraction is ratio between the area of the jet at the vena contract and the area of the orifice, Area of Orifice is the any opening, mouth, hole or vent, as in a pipe, a plate, or a body & Cross Section Area 1 is the area of cross section at the inlet of the structure (venturimeter or pipe).

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

The Actual Velocity at Section 2 given Coefficient of Contraction is defined as velocity measured through orificemeter 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 (C_v), Venturi Head (h_venturi), Velocity at Point 2 (V_p2), Coefficient of Contraction (C_c), Area of Orifice (a_o) & Cross Section Area 1 (A_i). 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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