Bernoulli's equation

variants: or less commonly Bernoulli equation

Definition of Bernoulli's 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

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First Known Use of Bernoulli's equation

1830, in the meaning defined at sense 1

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Cite this Entry

“Bernoulli's equation.” Dictionary, Merriam-Webster, Accessed 11 Aug. 2020.

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