Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity Calculator

✖Outlet Velocity is defined as the velocity of fluid coming out of the vessel or nozzle.ⓘ Outlet Velocity [U_outlet]			+10% -10%
✖Inlet Velocity is defined as the velocity of fluid going in the vessel or nozzle.ⓘ Inlet Velocity [U_inlet]			+10% -10%
✖Length of Nozzle is defined as the length of the nozzle in which the fluid is flowing.ⓘ Length of Nozzle [ΔX]			+10% -10%

✖Acceleration in X Direction is the net acceleration in x direction.ⓘ Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity [a_x]

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Formula

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Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity

Formula

`"a"_{"x"} = (("U"_{"outlet"}^2)-("U"_{"inlet"}^2))/(2*"ΔX")`

Example

`"1.224m/s²"=((("2.13m/s")^2)-(("1.95m/s")^2))/(2*"0.3m")`

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Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration in X Direction = ((Outlet Velocity^2)-(Inlet Velocity^2))/(2*Length of Nozzle)
a_x = ((U_outlet^2)-(U_inlet^2))/(2*ΔX)
This formula uses 4 Variables

Variables Used

Acceleration in X Direction - (Measured in Meter per Square Second) - Acceleration in X Direction is the net acceleration in x direction.
Outlet Velocity - (Measured in Meter per Second) - Outlet Velocity is defined as the velocity of fluid coming out of the vessel or nozzle.
Inlet Velocity - (Measured in Meter per Second) - Inlet Velocity is defined as the velocity of fluid going in the vessel or nozzle.
Length of Nozzle - (Measured in Meter) - Length of Nozzle is defined as the length of the nozzle in which the fluid is flowing.

STEP 1: Convert Input(s) to Base Unit

Outlet Velocity: 2.13 Meter per Second --> 2.13 Meter per Second No Conversion Required
Inlet Velocity: 1.95 Meter per Second --> 1.95 Meter per Second No Conversion Required
Length of Nozzle: 0.3 Meter --> 0.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_x = ((U_outlet^2)-(U_inlet^2))/(2*ΔX) --> ((2.13^2)-(1.95^2))/(2*0.3)

Evaluating ... ...

a_x = 1.224

STEP 3: Convert Result to Output's Unit

1.224 Meter per Square Second --> No Conversion Required

FINAL ANSWER

1.224 Meter per Square Second <-- Acceleration in X Direction

(Calculation completed in 00.004 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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Go Acceleration in X Direction = (Outlet Velocity-Inlet Velocity)/(Length of Nozzle/Average Velocity)

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Go Inlet Diameter of Nozzle = sqrt((4*Volumetric Flow Rate)/(pi*Inlet Velocity))

Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity

Go Acceleration in X Direction = ((Outlet Velocity^2)-(Inlet Velocity^2))/(2*Length of Nozzle)

Inlet Velocity in Nozzle given Inlet Diameter of Nozzle

Go Inlet Velocity = (4*Volumetric Flow Rate)/(pi*(Inlet Diameter of Nozzle^2))

Average Velocity given Inlet and Outlet Velocity

Go Average Velocity = (Outlet Velocity+Inlet Velocity)/2

Outlet Velocity given Average Velocity

Go Outlet Velocity = (2*Average Velocity)-Inlet Velocity

Inlet Velocity given Average Velocity

Go Inlet Velocity = (2*Average Velocity)-Outlet Velocity

Inlet Area of Nozzle given Diameter of Nozzle

Go Inlet Area = pi*((Inlet Diameter of Nozzle^2)/4)

Inlet Velocity in Nozzle given Inlet Area of Nozzle

Go Inlet Velocity = Volumetric Flow Rate/Inlet Area

Inlet Area given Inlet Velocity of Fluid in Nozzle

Go Inlet Area = Volumetric Flow Rate/Inlet Velocity

Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity Formula

Acceleration in X Direction = ((Outlet Velocity^2)-(Inlet Velocity^2))/(2*Length of Nozzle)
a_x = ((U_outlet^2)-(U_inlet^2))/(2*ΔX)

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What is Fluid Kinematics?

Fluid kinematics is the branch of fluid mechanics in which the study of the different fluid flows is carried out but without the help of the causing parameters. Fluid Kinematics deals with the motion of fluids, such as displacement, velocity, acceleration, and other aspects. Kinematics is the branch of classical mechanics that describes the motion of bodies and systems without consideration of the forces that cause the motion. there are various types of flow: steady and unsteady flow, compressible and incompressible, uniform and non-uniform, rotational and irrotational.

How to Calculate Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity?

Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity calculator uses Acceleration in X Direction = ((Outlet Velocity^2)-(Inlet Velocity^2))/(2*Length of Nozzle) to calculate the Acceleration in X Direction, The Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity formula is defined as the function of outlet velocity and inlet velocity of fluid and length of nozzle. Fluid particles are accelerated through the nozzle at nearly five times the acceleration of gravity (almost five g’s)! This simple example clearly illustrates that the acceleration of a fluid particle can be nonzero, even in steady flow. Note that the acceleration is actually a point function, whereas we have estimated a simple average acceleration through the entire nozzle. Acceleration in X Direction is denoted by a_x symbol.

How to calculate Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity using this online calculator? To use this online calculator for Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity, enter Outlet Velocity (U_outlet), Inlet Velocity (U_inlet) & Length of Nozzle (ΔX) and hit the calculate button. Here is how the Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity calculation can be explained with given input values -> 1.224 = ((2.13^2)-(1.95^2))/(2*0.3).

FAQ

What is Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity?

The Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity formula is defined as the function of outlet velocity and inlet velocity of fluid and length of nozzle. Fluid particles are accelerated through the nozzle at nearly five times the acceleration of gravity (almost five g’s)! This simple example clearly illustrates that the acceleration of a fluid particle can be nonzero, even in steady flow. Note that the acceleration is actually a point function, whereas we have estimated a simple average acceleration through the entire nozzle and is represented as a_x = ((U_outlet^2)-(U_inlet^2))/(2*ΔX) or Acceleration in X Direction = ((Outlet Velocity^2)-(Inlet Velocity^2))/(2*Length of Nozzle). Outlet Velocity is defined as the velocity of fluid coming out of the vessel or nozzle, Inlet Velocity is defined as the velocity of fluid going in the vessel or nozzle & Length of Nozzle is defined as the length of the nozzle in which the fluid is flowing.

How to calculate Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity?

The Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity formula is defined as the function of outlet velocity and inlet velocity of fluid and length of nozzle. Fluid particles are accelerated through the nozzle at nearly five times the acceleration of gravity (almost five g’s)! This simple example clearly illustrates that the acceleration of a fluid particle can be nonzero, even in steady flow. Note that the acceleration is actually a point function, whereas we have estimated a simple average acceleration through the entire nozzle is calculated using Acceleration in X Direction = ((Outlet Velocity^2)-(Inlet Velocity^2))/(2*Length of Nozzle). To calculate Acceleration in X Direction in Nozzle given Inlet and Outlet Velocity, you need Outlet Velocity (U_outlet), Inlet Velocity (U_inlet) & Length of Nozzle (ΔX). With our tool, you need to enter the respective value for Outlet Velocity, Inlet Velocity & Length of Nozzle 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 Acceleration in X Direction?

In this formula, Acceleration in X Direction uses Outlet Velocity, Inlet Velocity & Length of Nozzle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Acceleration in X Direction = (Outlet Velocity-Inlet Velocity)/(Length of Nozzle/Average Velocity)

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