PlumX Metrics
Embed PlumX Metrics

Acoustic metric of the compressible draining bathtub

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN: 1550-7998, Vol: 84, Issue: 8
2011
  • 9
    Citations
  • 0
    Usage
  • 3
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

Article Description

The draining bathtub flow, a cornerstone in the theory of acoustic black holes, is here extended to the case of exact solutions for compressible nonviscous flows characterized by a polytropic equation of state. Investigating the analytical configurations obtained for selected values of the polytropic index, it is found that each of them becomes nonphysical at the so called limiting circle. By studying the null geodesics structure of the corresponding acoustic line elements, it is shown that such a geometrical locus coincides with the acoustic event horizon. This region is characterized also by an infinite value of space-time curvature, so the acoustic analogy breaks down there. Possible applications for artificial and natural vortices are finally discussed. © 2011 American Physical Society.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know