Indian-origin student Divya Tyagi solves century-old Math problem

In a remarkable advancement for wind energy technology, Divya Tyagi, an Indian American engineering student at Pennsylvania State University, has refined a century-old mathematical problem, leading to potential enhancements in wind turbine efficiency and cost reduction. ​

Refinement of Glauert’s Problem

Tyagi’s research builds upon the work of British aerodynamicist Hermann Glauert, who originally focused on the maximum attainable power coefficient—a measure of a turbine’s efficiency in converting wind energy into electricity. However, Glauert’s model did not account for the total force and moment coefficients acting on the rotor or the structural bending of turbine blades under wind pressure. Tyagi addressed these gaps by developing an addendum to Glauert’s problem, determining the optimal aerodynamic performance of a wind turbine by solving for the ideal flow conditions to maximize power output. ​

Academic Recognition and Future Research

For her groundbreaking thesis, Tyagi received the Anthony E. Wolk Award, presented to the senior aerospace engineering student with the best thesis. Currently, as a master’s student, she is conducting U.S. Navy-supported research in computational fluid dynamics, analyzing airflow around helicopter rotors to improve flight simulation and pilot safety. ​

The Pennsylvania State University

Tyagi’s dedication and innovative approach not only honor her Indian heritage but also position her as a leading figure in the future of renewable energy technology.