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What is Bernoulli's equation? (article) | Khan Academy
https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/a/what-is-bernoullis-equation
WEBIt might be conceptually simplest to think of Bernoulli's principle as the fact that a fluid flowing from a high pressure region to a low pressure region will accelerate due to the net force along the direction of motion. The idea that regions where the fluid is moving fast will have lower pressure can seem strange.
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Bernoulli's Principle: Definition, Equation, Examples - Sciencing
https://sciencing.com/bernoullis-principle-definition-equation-examples-13723388.html
WEBDec 28, 2020 · Bernoulli's principle and its corresponding equation are important tools in fluid dynamics. The principle states that there is reduced pressure in areas of increased fluid velocity, and the formula sets the sum of the pressure, kinetic energy and potential energy equal to a constant.
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Bernoulli's principle - Wikipedia
https://en.wikipedia.org/wiki/Bernoulli%27s_principle
WEBBernoulli's principle is a key concept in fluid dynamics that relates pressure, speed and height. Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or the fluid 's potential energy . [1] :
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12.2: Bernoulli’s Equation - Physics LibreTexts
https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/12%3A_Fluid_Dynamics_and_Its_Biological_and_Medical_Applications/12.02%3A_Bernoullis_Equation
WEBFeb 20, 2022 · P1 + 1 2ρv2 1 ⏟ kinetic energy + ρgh1 ⏟ potential energy = P2 + 1 2ρv2 2 ⏟ kinetic energy + ρgh2. ⏟ potential energy. Bernoulli’s equation is a form of the conservation of energy principle. Note that the second and third terms are the kinetic and potential energy with m replaced by ρ.
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Bernoulli’s Principle & Bernoulli Equation - Definition, Derivation
https://byjus.com/physics/bernoullis-principle/
WEBDec 10, 2017 · Bernoulli’s principle formulated by Daniel Bernoulli states that as the speed of a moving fluid increases (liquid or gas), the pressure within the fluid decreases. Although Bernoulli deduced the law, it was Leonhard Euler who derived Bernoulli’s equation in its usual form in the year 1752.
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14.8: Bernoulli’s Equation - Physics LibreTexts
https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/14%3A_Fluid_Mechanics/14.08%3A_Bernoullis_Equation
WEBDec 14, 2022 · Bernoulli’s principle reinforces the fact that pressure drops as speed increases in a moving fluid: If v 2 is greater than v 1 in the equation, then p 2 must be less than p 1 for the equality to hold.
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14.6 Bernoulli’s Equation - University Physics Volume 1 - OpenStax
https://openstax.org/books/university-physics-volume-1/pages/14-6-bernoullis-equation
WEBBernoulli’s principle reinforces the fact that pressure drops as speed increases in a moving fluid: If v 2 v 2 is greater than v 1 v 1 in the equation, then p 2 p 2 must be less than p 1 p 1 for the equality to hold.
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Bernoulli’s theorem | Definition, Derivation, & Facts | Britannica
https://www.britannica.com/science/Bernoullis-theorem
WEBMar 29, 2024 · Bernoulli’s theorem, in fluid dynamics, relation among the pressure, velocity, and elevation in a moving fluid (liquid or gas), the compressibility and viscosity of which are negligible and the flow of which is steady, or laminar. It was first derived in 1738 by the Swiss mathematician Daniel Bernoulli.
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Differential Equations - Bernoulli Differential Equations
https://tutorial.math.lamar.edu/Classes/DE/Bernoulli.aspx
WEBNov 16, 2022 · In this section we are going to take a look at differential equations in the form, y′ +p(x)y = q(x)yn y ′ + p ( x) y = q ( x) y n. where p(x) p ( x) and q(x) q ( x) are continuous functions on the interval we’re working on and n n is a real number. Differential equations in this form are called Bernoulli Equations.
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12.2 Bernoulli’s Equation - College Physics 2e | OpenStax
https://openstax.org/books/college-physics-2e/pages/12-2-bernoullis-equation
WEBBernoulli’s equation is a form of the conservation of energy principle. Note that the second and third terms are the kinetic and potential energy with m m replaced by ρ ρ . In fact, each term in the equation has units of energy per unit volume.
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