Atwood number

Atwood number

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 defined as

: A = frac{ ho_1 - ho_2} { ho_1 + ho_2}

where

: ho_1 = density of heavier fluid: ho_2 = density of lighter fluid

Field of application

Atwood number is an important parameter in the study of Rayleigh–Taylor instability and Richtmyer-Meshkov instability. In Rayleigh–Taylor instability, the penetration distance of heavy fluid bubbles into the light fluid is a function of acceleration time scale, A g t^2 [Glimm, J., Grove, J. W., Li, X.-L., Oh, W., and Sharp, D. H., A critical analysis ofRayleigh–Taylor growth rates, J. Comput. Phys., 169, 652-677 (2001).] where "g" is the gravitational acceleration and "t" is the time.

References


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