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In the present study, three-dimensional numerical computations are performed on flow past a transversely rotating sphere at Re = 300 using OpenFOAM. Four values of the non-dimensional rotational speed ( \(\omega^{*}\) ), viz. 0, 0.1, 0.3 and 1, have been chosen. Hilbert spectrum is plotted for lift force signal to examine the nonlinearity associated with the wake for different values of \(\omega^{*}\) . Nonlinearity in the wake is found to be highest at \(\omega^{*} = 1\) . A comparison is also made between the Fourier and the marginal spectra for different values of \(\omega^{*}\) . DMD analysis has been carried out to compare the spatial and the temporal behaviour of the coherent structures in the flow for \(\omega^{*}\) values of 0.3 and 1. Flow at \(\omega^{*} = 1\) is found to be more stable than \(\omega^{*} = 0.3\) .

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On the Nonlinearity and Coherent Structure in the Wake of a Transversely Rotating Sphere at Re = 300

  • 会议论文

  • 发表日期：

    2025年

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  • Abhishek Kumar,
  • S. P. Das,
  • Shaligram Tiwari

摘要

In the present study, three-dimensional numerical computations are performed on flow past a transversely rotating sphere at Re = 300 using OpenFOAM. Four values of the non-dimensional rotational speed ( \(\omega^{*}\) ), viz. 0, 0.1, 0.3 and 1, have been chosen. Hilbert spectrum is plotted for lift force signal to examine the nonlinearity associated with the wake for different values of \(\omega^{*}\) . Nonlinearity in the wake is found to be highest at \(\omega^{*} = 1\) . A comparison is also made between the Fourier and the marginal spectra for different values of \(\omega^{*}\) . DMD analysis has been carried out to compare the spatial and the temporal behaviour of the coherent structures in the flow for \(\omega^{*}\) values of 0.3 and 1. Flow at \(\omega^{*} = 1\) is found to be more stable than \(\omega^{*} = 0.3\) .