scholarly journals Data dependence for the amplitude equation of surface waves

Author(s):  
Paolo Secchi

The fully developed laminar flow of air over water confined between two infinite parallel plates was used to study nonlinear effects in the generation of surface waves. A linear stability analysis of the basic flow was made and the conditions at which small amplitude surface waves first begin to grow were determined. Then, following Stewartson & Stuart (1971), the nonlinear stability of the flow was examined and the usual parabolic equation with cubic nonlinearity obtained for the amplitude of the disturbances. The calculation of the linear stability characteristics and the coefficients appearing in the amplitude equation was a lengthy computational task, with most interest centred on the coefficient of the nonlinear terms in the amplitude equation. In two profiles, used as crude models of a boundary layer flow of air over water, the calculations indicated that, over a range of parameters, the non-linear effects would reduce the growth rate of the surface waves and hence lead to equilibrium amplitude waves.


1998 ◽  
Vol 08 (PR7) ◽  
pp. Pr7-317-Pr7-326 ◽  
Author(s):  
O. A. Ivanov ◽  
A. M. Gorbachev ◽  
V. A. Koldanov ◽  
A. L. Kolisko ◽  
A. L. Vikharev

1997 ◽  
Vol 167 (7) ◽  
pp. 735-750 ◽  
Author(s):  
Yurii V. Gulyaev ◽  
Igor E. Dikshtein ◽  
Vladimir G. Shavrov

Jurnal Segara ◽  
2012 ◽  
Vol 8 (1) ◽  
pp. 1 ◽  
Author(s):  
Rita Tisiana Dwi Kuswardani ◽  
Fangli Qiao

2012 ◽  
Vol E95-C (4) ◽  
pp. 717-724
Author(s):  
Michinari SHIMODA ◽  
Toyonori MATSUDA ◽  
Kazunori MATSUO ◽  
Yoshitada IYAMA

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