Viscous Damping in Small-Amplitude Waves

The following sections are included:

• Introduction

• Linearized Equations of Viscous Flows and the Laminar Boundary Layer

• Damping Rate and the Process of Energy Transfer

  • The Entire Fluid

  • Meniscus Boundary Layer

  • Wall Boundary Layer

  • Interior Core

  • The Damping Rate

• Damping Rate by a Perturbation Analysis

• Details for Standing Waves in a Circular Basin

• The Effect of Air on the Damping of Deep Water Waves

• The Turbulent Boundary Layer Near a Rough Bottom

  • The Boundary-Layer Structure

  • The Friction Coefficient

  • Bottom Friction on the Damping of Standing Shallow-Water Waves in a Basin

• Appendix 9.A An Equipartition Theorem