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The Weber number is termed as a dimensionless number in fluid mechanics which is often used in analysing fluid flows where there is an interface between two different fluids.

Table of Contents:

Formula

**Weber Number :**

We = ρv^{2}L/σ

**Density :**

ρ = Weσ/v^{2}L

**Velocity :**

v= √Weσ/ ρL

**Characteristic Length :**

L = Weσ/ ρv^{2}

**Surface Tension :**

σ = ρv^{2}L/We

**Where,**

We = Weber Number,

ρ = Density,

v = Velocity,

L = Characteristic Length,

σ = Surface Tension.

The Weber Number is especially used for multiphase flows with strongly curved surfaces.

**Example:**

Calculate the Weber Number for the given details.

Density (ρ) = 5 kg/m^{3}

Velocity (v) = 10 m/s

Characteristic Length (L) = 15 m

Surface Tension (σ) = 20 N/m

**Solution:**

**Apply Formula:**

We = ρv^{2}L/σ

**Weber Number (We) = 375**