Periodic water waves on shear currents

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Journal titleAdvances in Fluid Mechanics
Pages213222; # of pages: 10
AbstractPrevious analyses of waves on shear currents impose the stream profile a priori as a function of depth. In the present formulation, a stream function (x,y,t) is assumed to exist and unknown a priori, for a stable, two dimensional combined fluid flow of a stream of finite depth with a free surface wave disturbance of finite wave length, periodic and of permanent form. We show that the retained expression of the stream function is a quadratic in y, the vertical coordinate. The so-called current profile is not, at the outset, imposed on the solution. First and second order wave undulations can be developed for this case.
Publication date
AffiliationNRC Institute for Ocean Technology; National Research Council Canada
Peer reviewedYes
NRC number6583
NPARC number8896197
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Record identifier4a9397db-f71c-4039-abf4-0cb94d418e75
Record created2009-04-22
Record modified2016-05-09
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