LINEAR THEORY OF GRAVITY WAVES ON A VOIGT VISCOELASTIC MEDIUM

摘要

Linear surface gravity waves on a semi-infinite incompressible Voigt medium are studied in this paper. Three dimensionless parameters, the dimensionless viscoelastic parameter θ, the dimensionless wave number and the dimensionless sur face tension are introduced. A dimensionless characteristic equation describing the waves is derived. This is a sixth order complex algebraic equation which is solved to give the complex dispersion relation. Based on the numerical solution, two critical values of θ, θA = 0.607 and θB = 2.380, which represent the appearance of the cutoff region and the disappearance of the strong dispersion region, are found. The effects of θ on the characteristic equation and the properties of the waves are discussed.