Mastodawn

"The research was led by [student] Divya Tyagi of Penn State’s Department of #Aerospace #Engineering. Her work focuses on how #turbines exchange momentum with the air and how that shows up in power and structural loading. [.] the method delivers closed forms for total thrust and total flapwise bending on the blades. That is valuable because it lets designers compare power gains against structural costs without guessing."
https://www.earth.com/news/student-solves-a-century-old-problem-and-improves-the-power-of-wind-turbines/

#wind #regenerativeEnergy #DivyaTyagi #greenEnergy

Student solves a century-old problem and improves the power of wind turbines

A new study revises the classic equation for wind turbines and offers clear formulas for maximizing power without compromising structure.

Earth.com

Pustam | पुस्तम | পুস্তম🇳🇵Mar 22, 2025

An aerospace engineering student from the Pennsylvania State University refines a 100-year-old math/aerodynamic (wind energy equation) problem, expanding wind energy possibilities.

Article published in Wind Energy Science:
https://wes.copernicus.org/articles/10/451/2025/

#Aerospace #Science #Math #Maths #Aerodynamics #Wind #WindEnergy #Equation #Lagrangian #Aerodynamic #WES #Turbine #Turbines #Efficiency #Energy #Divya #DivyaTyagi #Tyagi #Penn #PSU #PennState #AerospaceEngineering #Engineering

Glauert's optimum rotor disk revisited – a calculus of variations solution and exact integrals for thrust and bending moment coefficients

Abstract. The present work is an amendment to Glauert's optimum rotor disk solution for the maximum power coefficient, CPmax, as a function of tip speed ratio, λ. First, an alternate mathematical approach is pursued towards the optimization problem by means of calculus of variations. Secondly, analytical solutions for thrust and bending moment coefficients, CT and CBe, are derived, where an interesting characteristic is revealed pertaining to their asymptotic behavior for λ→∞. In addition, the limit case of the non-rotating actuator disk for λ→0 is shown for all three performance coefficients by repeated use of L'Hôpital's theorem, and its validity is discussed in the context of other works since Glauert.

Mathew Thomas Mar 22, 2025

Brilliant.
Congratulations.

#DivyaTyagi #GraduateStudent #AerospaceEngineering #PennsylvaniaStateUniversity
Has reworked a 100-year-old mathematical problem. Her innovative redesign simplifies the complex problem making it more accessible and easier to explore.
Originally developed by #BritishAerodynamicist #HermannGlauert
The problem has been a cornerstone of #aerodynamicsresearch for decades.

ƧƿѦςɛ♏ѦਹѤʞ Feb 24, 2025

“I created an addendum to Glauert’s problem which determines the optimal aerodynamic performance of a wind turbine by solving for the ideal flow conditions for a turbine in order to maximize its power output”.
#maths #aerospace #WindPower #WindEnergy #WindTurbine #aerodynamics #DivyaTyagi #mathematics #physics #technology
https://www.psu.edu/news/engineering/story/student-refines-100-year-old-math-problem-expanding-wind-energy-possibilities

Student refines 100-year-old math problem, expanding wind energy possibilities | Penn State University

A Penn State engineering student's work on a century-old math problem that expands research in aerodynamics, unlocking new possibilities in wind turbine design, was recently published in Wind Energy Science.