Bernoulli's equation

noun

variants or less commonly Bernoulli equation
1
[after Jacques Bernoulli †1705 Swiss mathematician] : a nonlinear differential equation of the first order that has the general form dy/dx + f(x)y = g(x)yn and that can be put in linear form by dividing through by yn and making the change of variable Y = yn+1
2
[after Daniel Bernoulli †1782 Swiss mathematician and scientist] : an equation used in fluid mechanics that relates pressure, velocity, density, and gravitational acceleration compare bernoulli effect , bernoulli's theorem

Word History

First Known Use

1830, in the meaning defined at sense 1

Time Traveler
The first known use of Bernoulli's equation was in 1830

Love words?

You must — there are over 200,000 words in our free online dictionary, but you are looking for one that’s only in the Merriam-Webster Unabridged Dictionary.

Start your free trial today and get unlimited access to America's largest dictionary, with:

  • More than 250,000 words that aren't in our free dictionary
  • Expanded definitions, etymologies, and usage notes
  • Advanced search features
  • Ad free!

Dictionary Entries Near Bernoulli's equation

Cite this Entry

“Bernoulli's equation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Bernoulli%27s%20equation. Accessed 18 May. 2024.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!