Pressure Transfer Functions for Interfacial Fluids Problems
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- 作者：Robin Ming Chen ; Vera Mikyoung Hur ; Samuel Walsh
- 关键词：Water waves ; vorticity ; stratification ; pressure ; transfer function
- 刊名：Journal of Mathematical Fluid Mechanics
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：19
- 期：1
- 页码：59-76
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Fluid- and Aerodynamics; Mathematical Methods in Physics; Classical and Continuum Physics;
- 出版者：Springer International Publishing
- ISSN：1422-6952
- 卷排序：19
文摘
We make a consistent derivation, from the governing equations, of the pressure transfer function in the small-amplitude Stokes wave regime and the hydrostatic approximation in the small-amplitude solitary water wave regime, in the presence of a background shear flow. The results agree with the well-known formulae in the zero vorticity case, but they incorporate the effects of vorticity through solutions to the Rayleigh equation. We extend the results to permit continuous density stratification and to internal waves between two constant-density fluids. Several examples are discussed.