Bernoulli Equation

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Bernoulli equation [ber‚nü·lē i′kwā·zhən]

(fluid mechanics)

Bernoulli theorem

(mathematics)

A nonlinear first-order differential equation of the form (dy/dx) +yf(x) =yⁿg(x), wherenis a number different from unity andfandgare given functions. Also known as Bernoulli differential equation.

Bernoulli Equation

a differential equation of the first order of the form

dy/dx + Py = Qy^α

where P and Q are predetermined continuous functions of x and α is a constant. With the introduction of the new function z = y^-α + ¹, the Bernoulli equation is reduced to a linear differential equation with respect to z. The Bernoulli equation was considered by Jakob Bernoulli in 1695, and a method of solving it was published by Johann Bernoulli in 1697.

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No references found			Although the practical application of power-balance methods may be limited for lack of measured model parameters, this research has demonstrated that the conventional multizone method is simply a special case of the more general power-balance method with another special case being that based on the generalized Bernoulli equation that is used in the piping network analysis community. Multizone airflow modeling in buildings: history and theory by Axley, James / HVAC & R Research Three important assumptions come into play in using this power law representation of flow through an orifice that is derived from the Bernoulli equation. Enhancement and use of combined simulation tools in the assessment of ... by Bradley, David E.; Utzinger, D. Michael / ASHRAE Transactions			Bernhard Seeger Bernhard Severin Ingemann Bernhard von Bulow Bernhard von Bülow Bernhard Zondek Bernhardi, Friedrich von Bernhardi, Theodor Von Bernhardt Bernhardt, Sarah Bernhardus Varenius Bernheim Petition Berni, Antonio Berni, Francesco Bernice State Park Bernicia Bernina Bernina Pass Bernini Bernini, Gian Lorenzo Bernini, Giovanni Lorenzo Bernoulli Bernoulli Box Bernoulli differential equation Bernoulli distribution Bernoulli effect Bernoulli Equation Bernoulli experiments Bernoulli family Bernoulli law Bernoulli number Bernoulli Numbers Bernoulli polynomial Bernoulli principle Bernoulli theorem Bernoulli trials Bernoulli's Equation Bernoulli's lemniscate Bernoulli's principle Bernoulli's Scheme Bernoulli's Theorem Bernoulli-Euler law Bernshtam, Aleksandr Bernshtam, Aleksandr Natanovich Bernshtein, Nikolai Bernshtein, Nikolai Aleksandrovich Bernshtein, Sergei Bernshtein, Sergei Ignatevich Bernshtein, Sergei Natanovich Bernstein Bernstein condition Bernstein, Aline			Bernini, Giovanni Lorenzo Bernini, Giovanni Lorenzo Bernino (mountain pass) Bernino (mountain pass) Bernisch Kantonaler Fischerei Verband Bernische Genossenschaft für Technologievermittlung Bernische Kraftwerke Bernischer Blindenfürsorgeverein Bernischer Kantonal Musikverband Bernoilli equation Bernoilli equation Bernoilli equation Bernouilli Bernouilli Bernouilli number Bernouilli numbers Bernouli random variable Bernouli random variable Bernoulli Bernoulli Bernoulli Box Bernoulli Box Bernoulli differential equation Bernoulli Disk Drive Bernoulli distribution Bernoulli distribution Bernoulli distribution Bernoulli effect Bernoulli effect Bernoulli effect Bernoulli Equation Bernoulli experiments Bernoulli family Bernoulli law Bernoulli Modulated Markov Process Bernoulli number Bernoulli numbers Bernoulli polynomial Bernoulli polynomials Bernoulli principal Bernoulli principal Bernoulli principal Bernoulli Principle Bernoulli Principle Bernoulli Principle Bernoulli random variable Bernoulli random variable Bernoulli Society for Mathematical Statistics and Probability Bernoulli Solutions and Systems Network Bernoulli theorem Bernoulli theorem Bernoulli theorem Bernoulli trial Bernoulli trial Bernoulli trial Bernoulli trials Bernoulli trials Bernoulli trials Bernoulli's differential equation Bernoulli's equation Bernoulli's equation

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