||In this paper, the flow field of interaction between wave and current in viscous-incompressible fluid was analyzed in a static and stable atmosphere with homogeneous and isobaric. Based on Chen's study (1996), with free surface dynamical boundary, equilibrium of forces, atmosphere pressure, shear stress and surface tension, solving the viscous flow fluid by boundary layer, which of the determine will continue analyzing by whole flow fluid with Navier-Stokes Equation, and which will find a general solution in three kinds of condition for the bottom: (i) perfect slip (ii) no slip and (iii) partial slip in linearization consideration.|
The results shows the velocity of flow decrease from maximum to zero in horizontal, and the shear force increase from zero to maximum near the bottom with the decrease of the degree in sliding. In the interaction of flow and wave, the vertical distribution of the velocity and shear force is not symmetric in the wave crest and trough. Particular change will be observation in the wave crest when the wave and current is in the same direction. Otherwise, the change will be also found in the wave trough when the wave and current is in the opposite. The overshoot velocity will be decrease with deeper water or larger period, and generation position will be no obvious effect, even the shear current larger and overshoot velocity faster. With the linear increase of overshoot position by decrease of the sliding, fi will be no obvious change even greater than 0.2.