Stokes model for wind-wave interaction

Combined with the nonlinear Stokes wave and the parallel flow instability theory,the high-order inviscid Orr-mmerfeld equations,the formulas of pressure over wave surface and the energy transfer are derived.Furthermore,for the secondorder model,the quasi-nonlinear energy transfer coefficient,a new parameter,is introduced to take nonlinear energy into consideration,and the uniform expression of total energy is established.The energy transfer coefficients considering water depth are obtained from the numerical solutions to the first-order Orr-Somerfeld equation with a singular point.The findings are that,through coordinate transformations,the high-order inviscid Orr-mmerfeld equations can be solved simultaneously.For small values of dimensionless wave speed c/U₁,the energy transfer coefficients considering the influence of water depth are less than those with infinite water depth.