Atwood number

The Atwood number (A) 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

\mathrm {A} ={\frac {\rho _{1}-\rho _{2}}{\rho _{1}+\rho _{2}}}

where

\rho _{1}

= density of heavier fluid

\rho _{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, $\mathrm {A} gt^{2}$ [1] where g is the gravitational acceleration and t is the time.

gollark: a͊ͨ͜u͔ͮ̅t̡̀ͬô̦̑ṃ͍͂a͌͐͢t̶ͪ̋ì͈͇c̷̥͍a̘̐͜lͫ͗ͪl͔̳̚y̞̜̒ ̎҉̉ȧ̪͌d̈́͏̰d̢̘ͬi̢̠͋n͓ͣ͝gͤ̓͝ ̖͑ͨd͍ͬ͞i̷͒͐ā̷ͥc̯̔̍r̼̦͒i͒͂ͧt͓͓͠i̺̺̜c̡̧̹s̎̇ͪ ̵̞̃i̲̰ͦs̫̀̽ ̷̍͑f̛̥̉u̵̥͙ǹ̾̋!̮͇ͩ

gollark: ṣ͆͘ȩ̹̄r̖̾̚ĭ͙͉ȏ͕́ŭ͋͛s͙͓̓l̥͆͝y̦̅ͯ ̠͇̂d̛̪̕o̶̢̧e̛̟͐sͪ̓̃ ̢̟̇ị͌ͦt̴̸̿ ͕ͩ͠m̷͚̋ȃ̤͊t̫̦̟tͨ̀̄ẻ̍͒r͙͋͂

gollark: ***THE APOCALYPSE IS NIGH***

gollark: ***THEY COME***

gollark: As I said to SunGoldFish, I suspect it's either just them not really caring that they're harming people (kind of), or them just not associating viewbombing with that.

References

Glimm, J.; Grove, J. W.; Li, X.-L.; Oh, W.; Sharp, D. H. (2001). "A critical analysis of Rayleigh–Taylor growth rates". J. Comput. Phys. 169 (2): 652–677. Bibcode:2001JCoPh.169..652G. doi:10.1006/jcph.2000.6590. S2CID 14261771.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

[1] Glimm, J.; Grove, J. W.; Li, X.-L.; Oh, W.; Sharp, D. H. (2001). "A critical analysis of Rayleigh–Taylor growth rates". J. Comput. Phys. 169 (2): 652–677. Bibcode:2001JCoPh.169..652G. doi:10.1006/jcph.2000.6590. S2CID 14261771.