Real Influencers: How Divya Tyagi Revived a 100-Year-Old Equation to Improve Wind Energy

Pujit Siddhant

Mar 18 2025

<div class='bc_element' id='bc_element'1 style=' background:#FFFFFF;color:#000000;font-family:Verdana;width:auto;padding:5px;max-height:100%;'><span><p>In a world where influence is often measured by social media numbers, a Penn State engineering student is making an impact in a very different way—by revisiting a century-old mathematical problem. Divya Tyagi, a graduate student in aerospace engineering, has taken a complex equation from 100 years ago and refined it, opening up new possibilities for wind turbine efficiency.&nbsp;&nbsp;</p><p><br></p><p>At first glance, this might seem like a niche achievement, something confined to academic circles. But Tyagi’s work has real-world implications. By improving how turbines harness wind energy, even by a small percentage, she is contributing to something far bigger—the global shift toward sustainable energy.&nbsp;&nbsp;</p><p><br></p><p><b>A Different Kind of Challenge&nbsp;&nbsp;</b></p><p><br></p><p>Tyagi didn’t stumble onto this problem by accident. During her undergraduate studies at Penn State, she worked on an honors thesis that revisited the work of Hermann Glauert, a British aerodynamicist. Glauert had laid down the foundation for understanding how turbines convert wind into electricity, but his approach left out crucial factors—forces acting on the rotor, the bending of blades under wind pressure, and other structural challenges that determine how efficiently a turbine can perform.&nbsp;&nbsp;</p><p><br></p><p>For decades, engineers accepted the limitations of Glauert’s original model. Tyagi, however, decided to approach it differently. Using calculus of variations, a mathematical optimization method, she refined the equation, offering a clearer and more applicable solution for modern turbine designs. The impact of this adjustment? Potentially higher energy output with the same wind conditions—something that could affect both large-scale wind farms and small, localized renewable energy projects.&nbsp;&nbsp;</p><p><br></p><p>Her adviser, Professor Sven Schmitz, has spent years thinking about this problem. He had challenged multiple students to take it on, but it was Tyagi who persisted. According to Schmitz, the simplicity of her solution is what makes it so effective—it’s the kind of revision that not only improves engineering applications but also makes its way into textbooks and classrooms.&nbsp;&nbsp;</p><p><br></p><p><b>Bridging Theory and Impact&nbsp;&nbsp;</b></p><p><br></p><p>A lot of conversations around clean energy focus on policy and investment. But Tyagi’s work highlights something else—how fundamental shifts often come from the quieter corners of research, where someone decides to rethink an old problem instead of just working around it.&nbsp;&nbsp;</p><p><br></p><p>Even a 1% improvement in a turbine’s efficiency could translate into significant gains—more energy with the same infrastructure, lower costs for producers, and, ultimately, more accessible renewable power. If the principles Tyagi refined are incorporated into future turbine designs, the effects could ripple far beyond her university lab.&nbsp;&nbsp;</p><p><br></p><p><b>Beyond the Equations&nbsp;&nbsp;</b></p><p><br></p><p>While Tyagi’s wind energy research earned her the Anthony E. Wolk Award for the best aerospace engineering thesis at Penn State, her journey didn’t stop there. She is now pursuing a master’s degree, shifting her focus to computational fluid dynamics simulations—specifically, how airflow around a helicopter rotor interacts with the complex wind patterns around ships. Backed by the U.S. Navy, her research is aimed at improving flight simulations and pilot safety.&nbsp;&nbsp;</p><p><br></p><p>It’s a different problem but follows the same theme—taking a known issue and breaking it down in a way that makes future innovations possible.&nbsp;&nbsp;</p><p><br></p><p>Tyagi’s story raises a larger question. The word “influencer” has taken on a very particular meaning in the last decade—typically someone whose reach is measured in engagement metrics, sponsorship deals, and viral moments. But there’s another kind of influence, the kind that doesn’t depend on audience numbers but on reshaping how we think and build.&nbsp;&nbsp;</p><p><br></p><p>Real Influencers aren’t necessarily the ones on our feeds every day. Sometimes, they’re the ones in front of a whiteboard, solving something that the rest of us didn’t even know needed solving.</p><span></div>

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