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Divya Tyagi Revolutionizes Wind Energy by Solving Century-Old Maths Problem

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Our Bureau

University Park, PA

Divya Tyagi, an Indian-origin student at Pennsylvania State University, has made headlines by solving a century-old mathematical problem that promises to revolutionize wind turbine design. Her ground-breaking research revisits a complex equation first introduced by British aerodynamicist Hermann Glauert in 1926, which has been pivotal in understanding how wind turbines harness energy from the wind.

Tyagi’s innovative approach simplifies Glauert’s third-order polynomial, enhancing its accuracy and applicability in modern engineering. This significant breakthrough, published in the journal Wind Energy Science, could lead to more efficient wind turbines capable of generating greater energy outputs. According to Tyagi, even a mere 1% improvement in the power coefficient can substantially increase a turbine’s energy production, potentially powering entire neighborhoods.

The original equation primarily focused on the maximum power coefficient, which measures how effectively a turbine converts wind energy into electricity. However, it overlooked critical factors such as the total force and moment coefficients acting on rotor blades. Tyagi’s refined model addresses these gaps, providing a more comprehensive understanding of turbine dynamics under operational conditions.

Tyagi’s work was part of her undergraduate thesis for the Schreyer Honors College and has garnered praise from her professor and co-author, Dr. Sven Schmitz. He noted that while three other students attempted to tackle this complex problem before her, Tyagi was the only one who succeeded. Schmitz described her solution as “elegant,” emphasizing its potential to inspire further research and exploration in aerodynamics and renewable energy.

In recognition of her exceptional achievement, Tyagi received the Anthony E. Wolk Award for the best aerospace engineering thesis. As she continues her studies in computational fluid dynamics, her research is expected to influence future advancements in wind energy technology globally. Divya Tyagi stands as a testament to the impact of innovative thinking and perseverance in solving long-standing scientific challenges.

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