dorsal/arxiv
View SchemaAcoustic horizons for axially and spherically symmetric fluid flow
| Authors | M. Cadoni, P. Pani |
|---|---|
| Categories | |
| ArXiv ID | physics/0510164 |
| URL | https://arxiv.org/abs/physics/0510164 |
| DOI | 10.1088/0264-9381/23/7/013 |
| Journal | Class.Quant.Grav. 23 (2006) 2427-2434 |
Abstract
We investigate the formation of acoustic horizons for an inviscid fluid moving in a pipe in the case of stationary and axi-symmetric flow. We show that, differently from what is generally believed, the acoustic horizon forms in correspondence of either a local minimum or maximum of the flux tube cross-section. Similarly, the external potential is required to have either a maximum or a minimum at the horizon, so that the external force has to vanish there. Choosing a power-law equation of state for the fluid, $P\propto \rho^{n}$, we solve the equations of the fluid dynamics and show that the two possibilities are realized respectively for $n>-1$ and $n<-1$. These results are extended also to the case of spherically symmetric flow.
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"abstract": "We investigate the formation of acoustic horizons for an inviscid fluid\nmoving in a pipe in the case of stationary and axi-symmetric flow. We show\nthat, differently from what is generally believed, the acoustic horizon forms\nin correspondence of either a local minimum or maximum of the flux tube\ncross-section. Similarly, the external potential is required to have either a\nmaximum or a minimum at the horizon, so that the external force has to vanish\nthere. Choosing a power-law equation of state for the fluid, $P\\propto\n\\rho^{n}$, we solve the equations of the fluid dynamics and show that the two\npossibilities are realized respectively for $n\u003e-1$ and $n\u003c-1$. These results\nare extended also to the case of spherically symmetric flow.",
"arxiv_id": "physics/0510164",
"authors": [
"M. Cadoni",
"P. Pani"
],
"categories": [
"physics.flu-dyn",
"gr-qc",
"physics.class-ph"
],
"doi": "10.1088/0264-9381/23/7/013",
"journal_ref": "Class.Quant.Grav. 23 (2006) 2427-2434",
"title": "Acoustic horizons for axially and spherically symmetric fluid flow",
"url": "https://arxiv.org/abs/physics/0510164"
},
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