Euler Number Calculator

✖Pressure Force is force due to fluid load.ⓘ 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_inertia]			+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"} = "F"_{"p"}/"F"_{"inertia"}`

Example

`"833.3333"="10000N"/"12N"`

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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_inertia
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 force due to fluid load.
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: 10000 Newton --> 10000 Newton No Conversion Required
Inertia Force: 12 Newton --> 12 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_u = F_p/F_inertia --> 10000/12

Evaluating ... ...

E_u = 833.333333333333

STEP 3: Convert Result to Output's Unit

833.333333333333 --> No Conversion Required

FINAL ANSWER

833.333333333333 ≈ 833.3333 <-- 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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< 20 Dimensionless groups Calculators

Bingham Number

Go Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity)

Viscous force given grashofs number

Go Viscous Force = sqrt((Buoyant Force*Inertia Force)/Grashof Number)

Eckert Number

Go Eckert Number = (Flow Velocity)^2/(Specific Heat Capacity*Temperature Difference)

Stanton number given Nusselt number and other dimensionless groups

Go Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)

Nusselt number given Stanton number and other dimensionless groups

Go Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number

Buoyant force given grashof number

Go Buoyant Force = Grashof Number*(Viscous Force^2)/Inertia Force

Internal conduction resistance given biot number

Go Internal Conduction Resistance = Biot Number*Surface Convection Resistance

Surface convection resistance

Go Surface Convection Resistance = Internal Conduction Resistance/Biot Number

Stanton number for convection

Go Stanton Number = Wall heat transfer rate/Heat Transfer by Convection

Modified Rayleigh number given Bingham number

Go Modified Rayleigh Number = Rayleigh Number/(1+Bingham Number)

Heat diffusivity given Lewis number

Go Heat Diffusivity = Lewis Number*Mass Diffusivity

Rayleigh Number

Go Rayleigh Number = Grashof Number*Prandtl Number

Reynolds number given Peclet number

Go Reynolds Number = Peclet Number/Prandtl Number

Prandtl number given Peclet number

Go Prandtl Number = Peclet Number/Reynolds Number

Reynolds number given Inertia and Viscous Force

Go Reynolds Number = Inertia Force/Viscous Force

Viscous force given Reynolds number

Go Viscous Force = Inertia Force/Reynolds Number

Pressure force given Euler number

Go Pressure Force = Euler Number*Inertia Force

Gravity force given Froude number

Go Gravity Force = Inertia Force/Froude Number

Froude Number

Go Froude Number = Inertia Force/Gravity Force

Euler Number

Go Euler Number = Pressure Force/Inertia Force

< 11 Dimensionless Numbers Calculators

Archimedes Number

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

Sommerfeld Number

Go Sommerfeld Number = ((Radius of Shaft/Radial Clearance)^(2))*(Absolute Viscosity*Speed of Rotating Shaft)/(Load per Unit of Area)

Reynolds Number

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

Eckert Number

Go Eckert Number = (Flow Velocity)^2/(Specific Heat Capacity*Temperature Difference)

Grashof Number

Go Grashof Number = (Buoyant Force)/(Viscous Force)

Rayleigh Number

Go Rayleigh Number = Grashof Number*Prandtl Number

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

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_inertia

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 formula is defined as the nondimensional relationship between pressure drop and momentum in fluid 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_inertia) and hit the calculate button. Here is how the Euler Number calculation can be explained with given input values -> 833.3333 = 10000/12.

FAQ

What is Euler Number?

The Euler number formula is defined as the nondimensional relationship between pressure drop and momentum in fluid flow and is represented as E_u = F_p/F_inertia or Euler Number = Pressure Force/Inertia Force. Pressure Force is force due to fluid load & 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 formula is defined as the nondimensional relationship between pressure drop and momentum in fluid flow is calculated using Euler Number = Pressure Force/Inertia Force. To calculate Euler Number, you need Pressure Force (F_p) & Inertia Force (F_inertia). 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.

How many ways are there to calculate Euler Number?

In this formula, Euler Number uses Pressure Force & Inertia Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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