Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction - Forced extended KdV equation

Physics of Fluids

Volumn 8, Issue 2, 1996, Pages 397-404

  Choi, J W ^a   Sun, S M ^b   Shen, M C ^c  

^a Korea University   (South Korea)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY/GRAVITY; FLUID FLOW; TWO-PHASE FLOW(LIQUID/LIQUID; WAVES-INTERNAL;

EID: 0029671790     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868793     Document Type: Article

References (10)

1. S. P. Shen, M. C. Shen, S. M. Sun, "A model equation for steady surface waves over a bump," J. Eng. Math. 23, 315 (1989).
2. S. M. Sun and M. C. Shen, "Exact theory of secondary supercritical solutions for steady surface waves over a bump," Physica D 67, 301 (1993).
3. L. K. Forbes, "Two-layer critical flow over a semi-circular obstruction," J. Eng. Math. 23, 325 (1989).
4. S. R. Belward and L. K. Forbes, "Fully non-linear two-layer flow over arbitrary topography," J. Eng. Math. 27, 419 (1993).
5. H. Y. Sha and J.-M. Vanden-Broeck, "Two layer flows past a semi-circular obstruction," Phys. Fluids A 5, 2661 (1993).
6. J. N. Moni and A. C. King, "Interfacial flow over a step," Phys. Fluids A 6, 2986 (1994).
7. S. P. Shen, "Forced solitary waves and hydraulic falls in two-layer flows," J. Fluid Mech. 234, 583 (1992).
8. J. W. Choi, S. M. Sun, and M. C. Shen, "Steady capillary-gravity waves on the interface of a two-layer fluid over an obstruction - Forced modified KdV equation," J. Eng. Math. 28, 193 (1994).
9. J. W. Choi, "Contribution to the theory of capillary-gravity internal waves of a two-layer fluid over an obstruction," Ph.D. thesis, University of Wisconsin, Madison, 1991.
10. P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists, 2nd ed. (Springer-Verlag, New York, 1971).