Theoretical Velocity at Section 1 in Orifice Meter Calculator

✖Velocity at Point 2 defines the direction of the movement of the body or the object.ⓘ Velocity at Point 2 [V_p2]			+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 1 is the velocity of fluid passing through point 1 in flow.ⓘ Theoretical Velocity at Section 1 in Orifice Meter [V₁]

⎘ Copy

👎

Formula

✖

Theoretical Velocity at Section 1 in Orifice Meter

Formula

`"V"_{"1"} = sqrt(("V"_{"p2"}^2)-(2*"[g]"*"h"_{"venturi"}))`

Example

`"33.99308m/s"=sqrt((("34m/s")^2)-(2*"[g]"*"24mm"))`

Calculator

LaTeX

Reset

👍

Download Hydraulics and Waterworks Formula PDF

Theoretical Velocity at Section 1 in Orifice Meter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity at Point 1 = sqrt((Velocity at Point 2^2)-(2*[g]*Venturi Head))
V₁ = sqrt((V_p2^2)-(2*[g]*h_venturi))
This formula uses 1 Constants, 1 Functions, 3 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

Velocity at Point 1 - (Measured in Meter per Second) - Velocity at Point 1 is the velocity of fluid passing through point 1 in flow.
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.
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

Velocity at Point 2: 34 Meter per Second --> 34 Meter per Second No Conversion Required
Venturi Head: 24 Millimeter --> 0.024 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = sqrt((V_p2^2)-(2*[g]*h_venturi)) --> sqrt((34^2)-(2*[g]*0.024))

Evaluating ... ...

V₁ = 33.9930769539917

STEP 3: Convert Result to Output's Unit

33.9930769539917 Meter per Second --> No Conversion Required

FINAL ANSWER

33.9930769539917 ≈ 33.99308 Meter per Second <-- Velocity at Point 1

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Equations of Motion and Energy Equation » Orifice Meter » Theoretical Velocity at Section 1 in Orifice Meter

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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

Theoretical Velocity at Section 1 in Orifice Meter Formula

Velocity at Point 1 = sqrt((Velocity at Point 2^2)-(2*[g]*Venturi Head))
V₁ = sqrt((V_p2^2)-(2*[g]*h_venturi))

What is Velocity?

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion.

How to Calculate Theoretical Velocity at Section 1 in Orifice Meter?

Theoretical Velocity at Section 1 in Orifice Meter calculator uses Velocity at Point 1 = sqrt((Velocity at Point 2^2)-(2*[g]*Venturi Head)) to calculate the Velocity at Point 1, Theoretical Velocity at Section 1 in Orifice Meter is defined as the calculated speed of fluid flow just before it enters the orifice plate. It is determined based on the fluid's properties and the pressure difference across the orifice, and is used to calculate the flow rate through the meter. Velocity at Point 1 is denoted by V₁ symbol.

How to calculate Theoretical Velocity at Section 1 in Orifice Meter using this online calculator? To use this online calculator for Theoretical Velocity at Section 1 in Orifice Meter, enter Velocity at Point 2 (V_p2) & Venturi Head (h_venturi) and hit the calculate button. Here is how the Theoretical Velocity at Section 1 in Orifice Meter calculation can be explained with given input values -> 33.99308 = sqrt((34^2)-(2*[g]*0.024)).

FAQ

What is Theoretical Velocity at Section 1 in Orifice Meter?

Theoretical Velocity at Section 1 in Orifice Meter is defined as the calculated speed of fluid flow just before it enters the orifice plate. It is determined based on the fluid's properties and the pressure difference across the orifice, and is used to calculate the flow rate through the meter and is represented as V₁ = sqrt((V_p2^2)-(2*[g]*h_venturi)) or Velocity at Point 1 = sqrt((Velocity at Point 2^2)-(2*[g]*Venturi Head)). Velocity at Point 2 defines the direction of the movement of the body or the object & Venturi headt is the difference between pressure head at inlet and pressure head at the throat.

How to calculate Theoretical Velocity at Section 1 in Orifice Meter?

Theoretical Velocity at Section 1 in Orifice Meter is defined as the calculated speed of fluid flow just before it enters the orifice plate. It is determined based on the fluid's properties and the pressure difference across the orifice, and is used to calculate the flow rate through the meter is calculated using Velocity at Point 1 = sqrt((Velocity at Point 2^2)-(2*[g]*Venturi Head)). To calculate Theoretical Velocity at Section 1 in Orifice Meter, you need Velocity at Point 2 (V_p2) & Venturi Head (h_venturi). With our tool, you need to enter the respective value for Velocity at Point 2 & Venturi Head and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search