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Study of √2 conjecture in the construction of drag induced wind turbine blade morphology

Naidu Sanderasagran, Ashwindran and Abd Aziz, Azizuddin and Nurye Oumer, Ahmed (2021) Study of √2 conjecture in the construction of drag induced wind turbine blade morphology. Evergreen, 8 (3). pp. 574-585. ISSN 2189-0420


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In wind engineering, the morphology of the turbine blade system governs the effectiveness in harvesting wind energy. The flow field response is the result of the turbine blade shape interaction with flow. Hence, mathematically interpreting the shape of the blade will help to understand the principals and properties of the utilized geometry for the blade construction. In this study, semicircle geometry of Savonius wind turbine blade is mathematically analyzed in order to understand its fundamental building block. We provide discussion on √2 conjecture found in the construction of circles, Fibonacci and Pythagoras spiral in relations to √2, √2 + 1 and √2 + 2. It is found that √2 conjecture can be utilized in determining the geometrical properties of circle and spiral. We also performed thorough assessment of the proposed conjecture to prove its robustness and reliability. The proposed conjecture is adapted to construct the blade morphology of drag induced wind turbine. CFD analysis is carried out to investigate the aerodynamic properties namely moment coefficient (Cm) of the constructed wind turbine shape via the proposed conjecture. Results shows that the proposed shape constructed based on the conjecture has improved Cm by 7.2 % at λ = 0.59 and 4 % at λ = 0.94 compared to conventional SWT

Item Type: Article
Uncontrolled Keywords: Savonius wind turbine; blade morphology; irrational number
Subjects: T Technology > T Technology (General)
T Technology > TJ Mechanical engineering and machinery
Faculty/Division: Faculty of Mechanical and Automotive Engineering Technology
Institute of Postgraduate Studies
Depositing User: Dr. Azizuddin Abd Aziz
Date Deposited: 21 Oct 2021 06:16
Last Modified: 21 Oct 2021 06:16
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