Internal solitary waves in two-layer fluids at near-critical situation
Paper
Paper/Presentation Title | Internal solitary waves in two-layer fluids at near-critical situation |
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Presentation Type | Paper |
Authors | Kurkina, O. (Author), Singh, N. (Author) and Stepanyants, Y. (Author) |
Journal or Proceedings Title | Proceedings of the 19th Australasian Fluid Mechanics Conference (AFMC 2014) |
ERA Conference ID | 42494 |
Number of Pages | 4 |
Year | 2014 |
Place of Publication | Australia |
ISBN | 9780646596952 |
Web Address (URL) of Paper | https://people.eng.unimelb.edu.au/imarusic/proceedings/19/347.pdf |
Web Address (URL) of Conference Proceedings | http://people.eng.unimelb.edu.au/imarusic/proceedings/19%20AFMC%20TOC.htm |
Conference/Event | 19th Australasian Fluid Mechanics Conference (AFMC 2014) |
Australasian Fluid Mechanics Conference | |
Event Details | Australasian Fluid Mechanics Conference Rank A A A A A A A A |
Event Details | 19th Australasian Fluid Mechanics Conference (AFMC 2014) Event Date 08 to end of 11 Dec 2014 Event Location Melbourne, Australia |
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. |
Keywords | two-layer fluid, internal wave, surface tension, Gardner–Kawahara equation, Korteweg–de Vries equation, solitary wave |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
490109. Theoretical and applied mechanics | |
Public Notes | 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. |
Byline Affiliations | Nizhny Novgorod State Technical University, Russia |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q2wvy/internal-solitary-waves-in-two-layer-fluids-at-near-critical-situation
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