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<p>This study formulates the governing equations for internal geophysical flows under the influence of centripetal forces at any latitude in the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(f-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>f</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>plane approximation and conducts a detailed analysis of the model. The Pollard exact solution for nonhydrostatic geophysical internal waves across diverse layers is elaborated. Furthermore, a implicit description of the dispersion relation of this solution within Layer <i>M</i>(<i>t</i>) is provided. We have compared the pressure and dispersion relation with those presented in Reference (McCarney, <CitationRef CitationID="CR26">2024</CitationRef>), wherein the model fails to account for the centripetal force.</p>

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Pollard’s Exact Solution for Geophysical Internal Waves with Centripetal Forces

  • 期刊论文

  • 发表日期：

    2026年6月25日

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  • Yi Guan

摘要

This study formulates the governing equations for internal geophysical flows under the influence of centripetal forces at any latitude in the \(f-\) f - plane approximation and conducts a detailed analysis of the model. The Pollard exact solution for nonhydrostatic geophysical internal waves across diverse layers is elaborated. Furthermore, a implicit description of the dispersion relation of this solution within Layer M(t) is provided. We have compared the pressure and dispersion relation with those presented in Reference (McCarney, 2024), wherein the model fails to account for the centripetal force.