Euler Number in Fluid Mechanics


Output: Press calculate


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Formula:Euler Number = V * L / v

Introduction to Euler Number in Fluid Mechanics

The Euler number, denoted as Eu, is a dimensionless number used in fluid mechanics to characterize the flow regime. It is named after the Swiss mathematician Leonhard Euler. The Euler number is defined as the ratio of inertial forces to viscous forces in a fluid flow.

Mathematical Background:

The formula for the Euler number is given by:

Eu = V * L / v

Where:
V = velocity of the flow
L = characteristic length
v = kinematic viscosity of the fluid

Parameter Usage:

Output:

Data Validation:

The numbers should be greater than zero. The formula requires that the kinematic viscosity should not be zero.

Practical Applications:

The Euler number is particularly useful in fluid mechanics for determining the flow regime, which in turn affects various aspects of fluid behavior, such as pressure drop, heat transfer, and drag force.

Tags: Fluid Mechanics, Euler Number, Flow Regime