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We perform 2D axisymmetric simulations to model a rotating convective system driven by localized heating. The setup consists of a cylindrical annulus with spot heating at the outer bottom edge and uniform cooling at the inner edge, generating radial and vertical thermal gradients similar to atmospheric flows. Convective dynamics are studied by varying the aspect ratio ( \(\varGamma \) ), Rayleigh number ( \(\textit{Ra} = 2.4 \times 10^7\) to \(1.2 \times 10^9\) ), and Taylor number ( \(\textit{Ta} = 0\) to \(1.2 \times 10^9\) ). Without rotation, isotherms remain horizontal, while rotation causes spreading due to quasi-hydrostatic and quasi-geostrophic balances. The Nusselt number ( \(\textit{Nu}\) ) shows \(\textit{Ra}^{1/4}\) scaling at high \(\textit{Ra}\) with minimal rotational influence, but at low \(\textit{Ra}\) and high \(\textit{Ta}\) , rotation suppresses \(\textit{Nu}\) . Low \(\varGamma \) enhances \(\textit{Nu}\) due to confined convection, while larger \(\varGamma \) stabilizes convective patterns.

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Aspect Ratio Dependence in the Convection in Rotating Annulus in the Presence of Localized Heating

  • 会议论文

  • 发表日期：

    2026年

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  • Ayan Kumar Banerjee,
  • Shivam Swarnakar

摘要

We perform 2D axisymmetric simulations to model a rotating convective system driven by localized heating. The setup consists of a cylindrical annulus with spot heating at the outer bottom edge and uniform cooling at the inner edge, generating radial and vertical thermal gradients similar to atmospheric flows. Convective dynamics are studied by varying the aspect ratio ( \(\varGamma \) ), Rayleigh number ( \(\textit{Ra} = 2.4 \times 10^7\) to \(1.2 \times 10^9\) ), and Taylor number ( \(\textit{Ta} = 0\) to \(1.2 \times 10^9\) ). Without rotation, isotherms remain horizontal, while rotation causes spreading due to quasi-hydrostatic and quasi-geostrophic balances. The Nusselt number ( \(\textit{Nu}\) ) shows \(\textit{Ra}^{1/4}\) scaling at high \(\textit{Ra}\) with minimal rotational influence, but at low \(\textit{Ra}\) and high \(\textit{Ta}\) , rotation suppresses \(\textit{Nu}\) . Low \(\varGamma \) enhances \(\textit{Nu}\) due to confined convection, while larger \(\varGamma \) stabilizes convective patterns.