Hydrodynamic models of astrophysical wormholes: the general concept

Churilov, Semyon and Stepanyants, Yury ORCID: https://orcid.org/0000-0003-4546-0310 (2021) Hydrodynamic models of astrophysical wormholes: the general concept. Physics of Fluids, 33:077121. ISSN 1070-6631

[img] Text (Publihsed Version)
2021 Churilov, Stepanyants - Phys Fluids.pdf
Restricted - Available after 1 August 2022.


Abstract

We study the amplification of shallow-water waves in the course of their propagation in a duct of a variable cross section with a spatially inhomogeneous flow. We derive the basic set of equations for the wave propagation and present the asymptotic analysis of solutions in the neighborhood of critical points where the wave speed coincides with the speed of the current. The considered model represents a kinematic analog of astrophysical event horizons occurring in the vicinity of the black holes (BH) or white holes (WH). We study then the wave propagation in the flow with two critical points (two horizons) when the flow transits first the BH horizon and then the WH one or vice versa. In the former case, the region between the critical points mimics a wormhole in general relativity. The theoretical results are illustrated by numerical calculations of wave propagation through the critical points. It is shown that the wave amplification after passing the active zone between the horizons takes place in BH–WH arrangements only and can occur for different relationships between the subcritical and supercritical flow velocities. The frequency dependence of the amplification factor is obtained and quantified in terms of the velocity ratio within and outside the 'wormhole domain'.


Statistics for USQ ePrint 42857
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Published version embargoed until 1 August 2022 (12 months), in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Sciences (6 Sep 2019 -)
Date Deposited: 26 Jul 2021 04:54
Last Modified: 26 Jul 2021 04:54
Uncontrolled Keywords: wave amplification; shallow-water waves; inhomogeneous flow; asymptotic analysis; critical point; event horizon; black hole model; wormhole model
Fields of Research (2008): 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics
51 PHYSICAL SCIENCES > 5103 Classical physics > 510399 Classical physics not elsewhere classified
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Socio-Economic Objectives (2020): 28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280120 Expanding knowledge in the physical sciences
28 EXPANDING KNOWLEDGE > 2801 Expanding knowledge > 280118 Expanding knowledge in the mathematical sciences
Identification Number or DOI: https://doi.org/10.1063/5.0056877
URI: http://eprints.usq.edu.au/id/eprint/42857

Actions (login required)

View Item Archive Repository Staff Only