On the Study of Second-Order Wave Theory and Its Convergence for a Two-Fluid System
Joint Authors
Liu, Chi-Min
Hwung, Hwung Hweng
Yang, Ray-Yeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Second-order solutions of internal and surface waves in a two-fluid system are theoretically analyzed in this study.
Using the perturbation technique, the derivation of second-order solutions for internal waves is revisited, and the results are expressed in one-by-one forms instead of a matrix form.
Second-order solutions arising from the interactions of two arbitrary linear waves of different frequencies contain the sum-frequency (superharmonic) and the difference-frequency (subharmonic) components, which are separately examined.
Internal Stokes wave being a special case of present solutions is firstly investigated.
Next, the convergence of second-order theory and the second-order effects on wave profiles are analyzed.
For general cases, the effects of the thickness ratio of two fluids and the ratio of wavenumbers of two first-order waves on second-order wave characteristics, which include transfer functions and particle velocities, are also examined.
Moreover, most existing theories for the one-fluid and two-fluid systems can be deduced from present solutions.
American Psychological Association (APA)
Liu, Chi-Min& Hwung, Hwung Hweng& Yang, Ray-Yeng. 2013. On the Study of Second-Order Wave Theory and Its Convergence for a Two-Fluid System. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1008821
Modern Language Association (MLA)
Liu, Chi-Min…[et al.]. On the Study of Second-Order Wave Theory and Its Convergence for a Two-Fluid System. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1008821
American Medical Association (AMA)
Liu, Chi-Min& Hwung, Hwung Hweng& Yang, Ray-Yeng. On the Study of Second-Order Wave Theory and Its Convergence for a Two-Fluid System. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1008821
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008821