Acta Mechanica Sinica

, Volume 5, Issue 4, pp 301–312 | Cite as

Diffraction of a solitary wave by a thin wedge part 2. Effects of viscous boundary layers

  • Chen Xuenong
  • Liu Yingzhong


Based on the study on the Mach reflection of a solitary wave in [3], we continue to investigate effects of the boundary layers on the bottom and the vertical side wall. By using matched asymptotic methods, the two-dimensional KdV equation is modified to account for effects of viscosity. Numerical can be neglected. The results including the side wall's effects agree satisfactorily with those of Melville's experiments. Finally, we establish the simplified concept of the side wall effect and conclude that it represents the physical reason for the discrepancy between the experiments and the previous calculations based on the inviscid fluid flow theory.

Key Words

solitary wave Mach reflection two-dimensional KdV equation viscous boundary layer matched asymptotics 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1989

Authors and Affiliations

  • Chen Xuenong
    • 1
  • Liu Yingzhong
    • 1
  1. 1.Shanghai Jiaotong UniversityShanghaiChina

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