Viscous dissipation of surface waves and its relevance to analogue gravity experiments

Abstract

We consider dissipation of surface waves on fluids, with a view to its effects on analogue gravity experiments. We begin by reviewing some general properties of wave dissipation, before restricting our attention to surface waves and the dissipative role played by viscosity there. Finally, with particular focus on water, we consider several experimental setups inspired by analogue gravity: the analogue Hawking effect, the black hole laser, the analogue wormhole, and double bouncing at the wormhole entrance. Dissipative effects are considered in each, and we give estimates for their optimized experimental parameters.

34 pages, 16 figures Submission to SciPost

References in corpus (10)

• Fiber-optical analogue of the event horizon
• Observation of quantum Hawking radiation and its entanglement in an analogue black hole
• Measurement of stimulated Hawking emission in an analogue system
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Black/White hole radiation from dispersive theories
• Magnonic black holes
• Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: A hydrodynamic white hole
• Probing the thermal character of analogue Hawking radiation for shallow water waves?
• Hawking radiation in the presence of high-momentum dissipation

Cited by in corpus (5)

• Scattering of co-current surface waves on an analogue black hole
• Viscous damping of gravity-capillary waves: Dispersion relations and nonlinear corrections
• Membrane flutter induced by radiation of surface gravity waves on a uniform flow
• How to create analogue black hole or white fountain horizons and LASER cavities in experimental free surface hydrodynamics?
• Investigating viscous surface wave propagation modes and study of nonlinearities in a finite depth fluid