Search results
Results From The WOW.Com Content Network
Bernoulli's principle is a key concept in fluid dynamics that relates pressure, density, speed and height. Bernoulli's principle states that an increase in the speed of a parcel of fluid occurs simultaneously with a decrease in either the pressure or the height above a datum. [1]:
Euler–Bernoulli beam equation, in solid mechanics Topics referred to by the same term This disambiguation page lists articles associated with the title Bernoulli equation .
Dynamic pressure is one of the terms of Bernoulli's equation, which can be derived from the conservation of energy for a fluid in motion. [1] At a stagnation point the dynamic pressure is equal to the difference between the stagnation pressure and the static pressure, so the dynamic pressure in a flow field can be measured at a stagnation point ...
Bernoulli family of 17th and 18th century Swiss mathematicians: Daniel Bernoulli (1700–1782), developer of Bernoulli's principle; Jacob Bernoulli (1654–1705), also known as Jacques, after whom Bernoulli numbers are named; Jacob II Bernoulli (1759–1789) Johann Bernoulli (1667–1748) Johann II Bernoulli (1710–1790)
Jacob Bernoulli [a] (also known as James in English or Jacques in French; 6 January 1655 [O.S. 27 December 1654] – 16 August 1705) was a Swiss mathematician. He sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy and was an early proponent of Leibnizian calculus , which he made numerous contributions to.
In mathematics, an ordinary differential equation is called a Bernoulli differential equation if it is of the form ′ + = (), where is a real number.Some authors allow any real , [1] [2] whereas others require that not be 0 or 1.
Daniel Bernoulli FRS (/ b ɜːr ˈ n uː l i / bur-NOO-lee; Swiss Standard German: [ˈdaːni̯eːl bɛrˈnʊli]; [1] 8 February [O.S. 29 January] 1700 – 27 March 1782 [2]) was a Swiss-French mathematician and physicist [2] and was one of the many prominent mathematicians in the Bernoulli family from Basel.
Bernoulli's equation is foundational to the dynamics of incompressible fluids. In many fluid flow situations of interest, changes in elevation are insignificant and can be ignored. With this simplification, Bernoulli's equation for incompressible flows can be expressed as [2] [3] [4] + =, where: