Abstract
view Abstract Citations (20) References (9) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Production of Vorticity in an Expanding, Self-Gravitating Fluid Olson, D. W. ; Sachs, R. K. Abstract A self-gravitating Newtonian perfect fluid is analyzed statistically. For homogeneous, isotropic turbulence the equations imply an expanding (or contracting) "background" model governed by the Friedmann equation. If density fluctuations are negligible and random velocity moments obey a limited joint-normal statistical assumption, then the equation for the mean-square vorticity w2 can be solved exactly, incorporating nonlinear hydrodynamic effects. For an expanding background, two qualitatively different types of solution can occur. If the background expansion eventually dominates, w2 eventually has the R -4 behavior expected from perturbation theory. But if the fragmentation of eddies dominates, the solutions for 2 blow up in a finite time. For a contracting background the solutions for w2 always blow up in a finite time. A simple physical interpretation is suggested for the formal results. Subject headings: cosmology - hydrodynamics - turbulence Publication: The Astrophysical Journal Pub Date: October 1973 DOI: 10.1086/152399 Bibcode: 1973ApJ...185...91O full text sources ADS |
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
