Internal solitary waves in two-layer fluids at near-critical situation

Kurkina, O. and Singh, N. and Stepanyants, Y. (2014) Internal solitary waves in two-layer fluids at near-critical situation. In: 19th Australasian Fluid Mechanics Conference (AFMC 2014), 8–11 Dec 2014, RMIT University, Melbourne, Australia.

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Abstract

A new model equation describing weakly nonlinear long internal waves at the interface between two thin layers of different density is derived for the specific relationships between the densities, layer thicknesses and surface tension between the layers. The equation derived and dubbed here the Gardner–Kawahara equation represents a natural generalisation of the well-known Korteweg–de Vries (KdV) equation containing the cubic nonlinear term as well as fifth-order dispersion term. Solitary wave solutions are investigated numerically and categorised in terms of two dimensionless parameters, the wave speed and fifth-order dispersion. The equation derived may be applicable to wave description in other media.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Authors, or their employers or clients in the case of works made for hire, retain the following rights: ... 5. The right to post an author-prepared version or an official version (preferred version) of the published paper on an internal or external server controlled exclusively by the author/employer, provided that (a) such posting is non‐commercial in nature and the paper is made available to users without charge; (b) a full citation and copyright notice appear with the paper, and (c) a link to the AFMS’s official online version of the abstract is provided.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 26 Jan 2015 06:20
Last Modified: 16 Mar 2017 04:49
Uncontrolled Keywords: two-layer fluid, internal wave, surface tension, Gardner–Kawahara equation, Korteweg–de Vries equation, solitary wave
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: 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
URI: http://eprints.usq.edu.au/id/eprint/26626

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