X-Nico

3 unusual facts about Bernoulli's principle


Position error

In consequence of Bernoulli's principle, the different speeds of the air result in different pressures at different positions on the aircraft's surface.

S-1 Gard

Because of Bernoulli's principle, a decrease in air pressure between a larger object (such as a transit bus or large truck) and a smaller object (such as a pedestrian or cyclist) is created when passing in close proximity, resulting in a force that pulls the smaller object towards the larger object.

Shabestan

The air flow across the vertical shaft opening creates a lower pressure (see Bernoulli effect) and pulls cool air up from the qanat tunnel below the house.


Brachistochrone curve

Johann Bernoulli posed the problem of the brachistochrone to the readers of Acta Eruditorum in June, 1696.

Calcium chloride

By Le Chatelier's principle and the common ion effect, increasing the concentration of calcium in the water will reduce the dissolution of calcium compounds essential to the structure of concrete.

Christian Goldbach

Goldbach is most noted for his correspondence with Leibniz, Euler, and Bernoulli, especially in his 1742 letter to Euler stating his Goldbach's conjecture.

Eadem mutata resurgo

Bernoulli was referring to the continual appearance of the logarithmic spiral in nature, such as with the curves of the Nautilus shell.

Edward Condon

Condon said he replied: "I believe in Archimedes' Principle, formulated in the third century B.C. I believe in Kepler's laws of planetary motion, discovered in the seventeenth century. I believe in Newton's laws...." and continued with a catalog of scientists from earlier centuries, including the Bernoulli, Fourier, Ampère, Boltzmann, and Maxwell.

Fermat's principle

Ibn al-Haytham (Alhacen), in his Book of Optics (1021), expanded the principle to both reflection and refraction, and expressed an early version of the principle of least time.

Greatness

To prove this thesis Galton collected data showing that genius clusters in what he termed “Notable Family Lines”, such as those of Bernoulli, Cassini, Darwin, Herschel, and Jussieu in science, or Bach in music.

Hamilton's principle

Richard Feynman's path integral formulation of quantum mechanics is based on a stationary-action principle, using path integrals.

Inertia

Various efforts by notable physicists such as Ernst Mach (see Mach's principle), Albert Einstein, Dennis William Sciama, and Bernard Haisch have been put towards the study and theorizing of Inertia.

John Daugman

He held the Johann Bernoulli Chair of Mathematics and Informatics at the University of Groningen in the Netherlands, and the Toshiba Endowed Chair at the Tokyo Institute of Technology in Japan.

Krogh's principle

Another marine mollusc, the opisthobranch Aplysia possesses relatively small number of large nerve cells that are easily identified and mapped from individual to individual.

Le Her

Le Her played a role in the development of the mathematical theory of probability with solutions being sought by Bernoulli and de Montmort.

Polistes fuscatus

According to Fisher’s theory of sex ratio selection, when competition for mates is population wide, parents will evolve to invest equally in both sexes.

Principle of least action

The speculative fiction writer, Ted Chiang, has a story, Story of Your Life, that contains visual depictions of Fermat's Principle along with a discussion of its teleological dimension.

Shape dynamics

Barbour and Bertotti conjectured that Jacobi's principle and a mechanism they called best matching were construction principles for a fully Machian theory.

St. Petersburg paradox

Before Daniel Bernoulli published, in 1728, another Swiss mathematician, Gabriel Cramer, had already found parts of this idea (also motivated by the St. Petersburg Paradox) in stating that

Story of Your Life

The phenomenon of Heptapod B is explained by the alien's understanding of mathematics and Fermat's principle of least time.


see also