Euler Number Calculator

✖Pressure Force is the force exerted by a fluid on a surface. It is the result of the pressure of the fluid acting over an area.ⓘ Pressure Force [F_p]			+10% -10%
✖Inertia force is a force that appears to act on a mass whose motion is described using a non-inertial frame of reference, such as an accelerating or rotating reference frame.ⓘ Inertia Force [F_i]			+10% -10%

✖Euler Number represents the non dimensional relationship between pressure drop and momentum in fluid flow.ⓘ Euler Number [E_u]

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Formula

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Euler Number

Formula

E u = \frac{F p}{F i}

Example

10 = \frac{10.12 N}{1.012 N}

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Euler Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Euler Number = Pressure Force/Inertia Force
E_u = F_p/F_i
This formula uses 3 Variables

Variables Used

Euler Number - Euler Number represents the non dimensional relationship between pressure drop and momentum in fluid flow.
Pressure Force - (Measured in Newton) - Pressure Force is the force exerted by a fluid on a surface. It is the result of the pressure of the fluid acting over an area.
Inertia Force - (Measured in Newton) - Inertia force is a force that appears to act on a mass whose motion is described using a non-inertial frame of reference, such as an accelerating or rotating reference frame.

STEP 1: Convert Input(s) to Base Unit

Pressure Force: 10.12 Newton --> 10.12 Newton No Conversion Required
Inertia Force: 1.012 Newton --> 1.012 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_u = F_p/F_i --> 10.12/1.012

Evaluating ... ...

E_u = 10

STEP 3: Convert Result to Output's Unit

10 --> No Conversion Required

FINAL ANSWER

10 <-- Euler Number

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has created this Calculator and 500+ more calculators!

Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< Dimensionless Numbers Calculators

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Go Archimedes Number = ([g]*Characteristic Length^(3)*Density of Fluid*(Density of Body-Density of Fluid))/(Dynamic Viscosity)^(2)

Reynolds Number

Go Reynolds Number = (Density of Liquid*Fluid Velocity*Diameter of Pipe)/Dynamic Viscosity

Euler Number using Fluid Velocity

Go Euler Number = Fluid Velocity/(sqrt(Change in Pressure/Density of Fluid))

Weber Number

Go Weber Number = ((Density*(Velocity of Fluid^2)*Length)/Surface Tension)

< Euler and Froude Number Calculators

Pressure force given Euler number

Go Pressure Force = Euler Number*Inertia Force

Inertia force given Euler number

Go Inertia Force = Pressure Force/Euler Number

Froude Number

Go Froude Number = Inertia Force/Gravity Force

Euler Number

Go Euler Number = Pressure Force/Inertia Force

Euler Number Formula

Euler Number = Pressure Force/Inertia Force
E_u = F_p/F_i

What is convection ?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

Convection is the process of heat transfer in fluids by the actual motion of matter.
It happens in liquids and gases.
It may be natural or forced.
It involves a bulk transfer of portions of the fluid.

How to Calculate Euler Number?

Euler Number calculator uses Euler Number = Pressure Force/Inertia Force to calculate the Euler Number, The Euler number is a dimensionless number used in fluid dynamics to characterize the relationship between pressure forces and inertial forces within a fluid flow. It helps analyze situations where pressure differences drive the flow. Euler Number is denoted by E_u symbol.

How to calculate Euler Number using this online calculator? To use this online calculator for Euler Number, enter Pressure Force (F_p) & Inertia Force (F_i) and hit the calculate button. Here is how the Euler Number calculation can be explained with given input values -> 0.843333 = 10.12/1.012.

FAQ

What is Euler Number?

The Euler number is a dimensionless number used in fluid dynamics to characterize the relationship between pressure forces and inertial forces within a fluid flow. It helps analyze situations where pressure differences drive the flow and is represented as E_u = F_p/F_i or Euler Number = Pressure Force/Inertia Force. Pressure Force is the force exerted by a fluid on a surface. It is the result of the pressure of the fluid acting over an area & Inertia force is a force that appears to act on a mass whose motion is described using a non-inertial frame of reference, such as an accelerating or rotating reference frame.

How to calculate Euler Number?

The Euler number is a dimensionless number used in fluid dynamics to characterize the relationship between pressure forces and inertial forces within a fluid flow. It helps analyze situations where pressure differences drive the flow is calculated using Euler Number = Pressure Force/Inertia Force. To calculate Euler Number, you need Pressure Force (F_p) & Inertia Force (F_i). With our tool, you need to enter the respective value for Pressure Force & Inertia Force 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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