# Atwood number

## Description

The Atwood number is a dimensionless number in fluid dynamics used in the study of hydrodynamic instabilities in density stratified flows. It is a dimensionless density ratio related to the density of heavier fluid and the density of lighter fluid. (The difference in the fluid densities divided by their sum). Atwood number is an important parameter in the study of Rayleigh–Taylor instability. For Atwood number close to 0, RT instability flows take the form of symmetric “fingers” of fluid; for Atwood number close to 1, the much lighter fluid “below” the heavier fluid takes the form of larger bubble-like plumes.

Related formulas## Variables

A | Atwood number (dimensionless) |

ρ_{1} | Density of heavier fluid (kg/m^{3}) |

ρ_{2} | Density of lighter fluid. (kg/m^{3}) |