A team of mathematicians has defined the perfect shape of the wings for a quick flight – a discovery that offers a promise of better methods of collecting energy from the water as well as increasing the air speed.
The work appearing in the journal of the Practice of the Royal Society A relies on a technique that imitates evolutionary biology to determine which structure gives the best rate.
"We can simulate biological evolution in the lab, generating a population of wings of different shapes, making them compete to achieve a desired goal, in this case, speed, and then have the best breeds" wings "To make similar forms that make it even better," said Leif Ristroff, an assistant professor at the Institute of Mathematical Sciences at New York University's Quarante, and the senior author of the article.
By performing these definitions, the researchers conducted a series of experiments in the Applied Laboratory mathematics at New York University, where they created wings printed with 3-D that mechanically waved and competed with each other, winning "through" an evolutionary or genetic algorithm to create faster flyers. with 10 different wing shapes whose drive velocities were measured, then the algorithm selects pairs of the fastest wings ("parents") and combines their attributes to create even faster "daughters" which are then printed 3-D and tested. They repeated this process to create 15 generations of wings, each generation giving offspring faster than the previous one.
"This" survival of the fastest "process automatically detects the fastest wing-shaped tear that most effectively manipulates the streams to generate pressure," Ristrof explains. Furthermore, as we studied a wide variety of forms in our research, we were also able to identify exactly which aspects of the format are most responsible for the strong performance of the fastest wings. "
The results showed that the fastest wing shape has a thin razor that helps generate strong vortices or swirling streams during a whistle. The wings leave a trail of these whirlwinds as it repels the liquid to move forward.
"We consider work as a case study and proof of a much wider concept of complex engineering problems, especially those involving streams, such as streamlining the format to minimize sliding by structure," Ristroff noted "We think this can be used, for example, to optimize the form of a structure to collect energy in water waves."
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Improving the speed of propulsion of the wing of the artificial course through artificial evolution of form Messages of the Royal Society A rspa.royalsocietypublishing.or … .1098 / rspa.2018.0375