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Spiral Polar Plot (SPP) Analogy to Dictate the Two-Dimensional Depiction of Helical Vortex Lines

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Abstract

The article presents a unique methodology to represent the sequential pattern of the helical vortex lines (HVLs). The HVLs in the present study are the two-dimensional representation of the three-dimensional wind turbine's helical vortex dissipating from the blade tip. The rotor considered for the study is a horizontal-axis wind turbine, and a 2D particle image velocity has been employed to assess the HVLs sequence within the near wake regime. The methodology introduced the combination of HVL sequence, helical analogy, and polar coordinates, named the spiral polar plot (SPP). Using SPP, one can easily define the sequence of HVLs at any given polar coordinate or azimuthal angle with respect to the blade position. Furthermore, the speed, velocity, and HVLs slope are obtained by assessing the pixel displacement of the HVLs from the captured image frames. And on the basis of spatial and temporal response, the quantitative description of HVLs is defined and triangulated with the SPP to dictate the characteristics of HVLs, and wind turbine wake as a whole.

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Acknowledgements

During the period of this study, the fellowship extended to the first author by the Indian Institute of Technology Guwahati, India, is gratefully acknowledged. The authors gratefully acknowledge the support provided by the IITG Technology Innovation and Development Foundation.

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The research work reported did not receive any specific grant from funding agencies.

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Authors and Affiliations

  1. School of Energy Science and Engineering, Indian Institute of Technology Guwahati, Guwahati, 781039, India

    Ojing Siram & Suchita C. Barhate

  2. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, 781039, India

    Niranjan Sahoo

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  1. Ojing Siram
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  2. Suchita C. Barhate
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  3. Niranjan Sahoo
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Correspondence to Ojing Siram.

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Siram, O., Barhate, S.C. & Sahoo, N. Spiral Polar Plot (SPP) Analogy to Dictate the Two-Dimensional Depiction of Helical Vortex Lines. Int J Adv Eng Sci Appl Math (2023). https://doi.org/10.1007/s12572-023-00353-4

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  • DOI: https://doi.org/10.1007/s12572-023-00353-4

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