‘We had been compelled to say, Feynman and followers, you guys are off’: Physicists disprove decades-old Richard Feynman concept on ‘foolish’ sprinklers
Richard Feynman was a critical physicist who beloved to reply unserious questions. Can math inform you how you can order the optimum lunch? Can a human monitor scents like a bloodhound can by smelling his personal footprints? Now, researchers have picked up one among Feynman’s most curious unanswered questions by wanting on the physics of “foolish” sprinklers.
A typical garden sprinkler with an S-shaped nozzle spins in a given path because it spews water from its two openings. However should you throw that sprinkler right into a swimming pool and hook it as much as a vacuum so it sucks water in as an alternative of spraying it out, which means will it spin — the identical path as earlier than, or the alternative?
Feynman posed that query as a Princeton graduate pupil within the Forties. In line with Feynman’s telling, he rigged a glass sprinkler in his college’s lab. It gave a quick “tremor,” then barely moved at the same time as he raised the stress. He repeated the method till the glass shattered, leaving the reply ambiguous. Since then, a long time of follow-up experiments have turned up each attainable reply — the sprinkler spinning a technique, spinning the opposite means, jittering forwards and backwards, or not shifting in any respect — relying on how rigorously the assessments had been constructed.
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In 2024, a group at New York College led by utilized mathematician and experimental physicist Leif Ristroph took a primary crack on the query, discovering that the reverse sprinkler rotates reverse to a ahead sprinkler. However that rationalization was examined solely on unusual S-shaped sprinklers, and it hadn’t but been pitted immediately in opposition to two different main theories.
One, which traces again to Austrian physicist Ernst Mach, holds that the overall angular momentum of the swirling water contained in the sprinkler’s arms should be balanced by an reverse spin of the sprinkler itself. The opposite, related to Feynman himself, focuses on stress and suction results proper on the outer nozzles.
So Ristroph’s group requested, what if the sprinkler weren’t formed like a sprinkler in any respect? What if its arms spiraled, bent the unsuitable means or curled again on themselves?
In a brand new research revealed July 13 within the journal PNASs, the researchers constructed seven intentionally “foolish” sprinklers with uncommon arm geometries to pit the main theories in opposition to one another. That features one sprinkler with arms that spiraled a number of occasions to maximise the water’s angular momentum, and one other with a counter-bend on the nozzle.
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The sprinkler designs studied, with the noticed rotation path within the ahead (crimson arrow) and reverse (blue) modes.
Within the course of, they tore down each concepts. If Mach had been proper, the spiral design ought to have spun dramatically otherwise. If Feynman had been proper, reversing the nozzle bend ought to have flipped the sprinkler’s path. Neither occurred.
“We had been compelled to say, ‘Feynman and followers, you guys are off,'” Ristroph advised Reside Science.
The spiral-armed sprinkler, meant to check Mach’s concept, was simply as unyielding. Although the fluid inside carried considerably extra angular momentum, “the stable barely cared,” Ristroph stated.
All three measurements throughout the seven designs pointed as an alternative to the sprinkler’s central hub, the place the arms meet. There, incoming water collides and swirls, producing a flux of angular momentum contained in the system that the stable construction pushes again in opposition to. The discovering means that the reverse sprinkler is just not rather more than an inside-out model of a ahead sprinkler ruled by the identical physics enjoying out on the reverse ends of the arms.
Ristroph emphasised that this end result was made attainable due to Jesse Smith, who simply accomplished his physics doctorate at NYU whereas engaged on the challenge, together with a small group of Ristroph’s personal college students, and Ristroph’s longtime collaborator Brennan Sprinkle, a computational fluid dynamics skilled on the Colorado College of Mines whose surname is a coincidence.
Now, the group is constructing laptop simulations to check whether or not the momentum-flux mannequin holds up past the circulate circumstances already studied, and so they hope to finally derive it from elementary fluid dynamics equations.
Ristroph stated this “foolish” drawback does have real-world functions: Understanding how curved channels convert fluid circulate into rotational drive may inform the design of generators and different units that harvest power from wind and water currents.
“If we will do one thing that may assist with engineers designing units to higher make use of all the massive quantities of wind and water power now we have throughout us,” he stated, “that may be, in fact, a improbable factor.”
Smith, J.E., Zuo, M., Kuhlke, W., Sprinkle, B., & Ristroph, L. (2026). Geometry controls momentum flux within the sprinkler drawback. Proceedings of the Nationwide Academy of Sciences, 123.https://doi.org/10.1073/pnas.2537479123