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<p>The aim of this paper is to investigate the azimuthal flows at arbitrary latitude over variable bottom. Using the <i>f</i>-plane approximation and the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\beta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>-plane approximation, we derive exact solutions to the governing equations for two choices of the density function. We also present the Bernoulli relation in each cases, which allows us to study the relation between the surface pressure and the distortion of the surface induced by the pressure.</p>

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On some azimuthally propagating flows at arbitrary latitude

  • 期刊论文

  • 发表日期：

    2026年7月9日

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  • Fahe Miao,
  • Hui Liu,
  • Jie Xin

摘要

The aim of this paper is to investigate the azimuthal flows at arbitrary latitude over variable bottom. Using the f-plane approximation and the \(\beta \) β -plane approximation, we derive exact solutions to the governing equations for two choices of the density function. We also present the Bernoulli relation in each cases, which allows us to study the relation between the surface pressure and the distortion of the surface induced by the pressure.