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12.3: The Most General Applications of Bernoulli’s Equation
https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/12%3A_Fluid_Dynamics_and_Its_Biological_and_Medical_Applications/12.03%3A_The_Most_General_Applications_of_Bernoullis_Equation
Torricelli's theorem relates the speed of fluid flowing out of an orifice to the height of fluid above the opening.
5.7.3: Bernoulli’s Equation
https://phys.libretexts.org/Courses/Joliet_Junior_College/JJC_-_PHYS_110/05%3A_Book-_Physics_(Boundless)/5.07%3A_Fluid_Dynamics_and_Its_Applications/5.7.03%3A_Bernoullis_Equation
For “ideal” flow along a streamline with no change in height, an increase in velocity results from a decrease in static pressure.
28.4: Bernoulli’s Principle
https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/28%3A_Fluid_Dynamics/28.04%3A_Bernoullis_Principle
Let’s assume that the flow tube is narrow enough such that the velocity of the fluid is uniform on the cross-sectional areas of the tube at points 1 and 2 . At point 1, denote the speed of a fluid par...Let’s assume that the flow tube is narrow enough such that the velocity of the fluid is uniform on the cross-sectional areas of the tube at points 1 and 2 . At point 1, denote the speed of a fluid particle by $v_{1}$ , the cross-sectional area by $A_{1}$ , the fluid pressure by $P_{1}$ , and the height of the center of the cross-sectional area by $y_{1}$ .
11.3: Bernoulli’s Equation
https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_1030%3A_General_Physics_I/11%3A_Fluid_Dynamics_and_Its_Applications/11.3%3A_Bernoulli%E2%80%99s_Equation
For “ideal” flow along a streamline with no change in height, an increase in velocity results from a decrease in static pressure.
14.8: Bernoulli’s Equation
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
Bernoulli’s equation states that pressure is the same at any two points in an incompressible frictionless fluid. Bernoulli’s principle is Bernoulli’s equation applied to situations in which the heigh...Bernoulli’s equation states that pressure is the same at any two points in an incompressible frictionless fluid. Bernoulli’s principle is Bernoulli’s equation applied to situations in which the height of the fluid is constant. Bernoulli’s principle has many applications, including entrainment and velocity measurement.
52.3: Bernoulli’s Equation
https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/52%3A_Fluid_Dynamics/52.03%3A_Bernoullis_Equation
where $P$ is the pressure, $v$ is the fluid velocity, $y$ is elevation, $\rho$ is the fluid density, and $g$ is the acceleration due to gravity. Each term in Bernoulli's equation has units o...where $P$ is the pressure, $v$ is the fluid velocity, $y$ is elevation, $\rho$ is the fluid density, and $g$ is the acceleration due to gravity. Each term in Bernoulli's equation has units of length and is called a head: the $P /(\rho g)$ term is called the pressure head, the $v^{2} /(2 g)$ term is called the velocity head, and the $y$ term is called the elevation head.
16.7: Ideal Fluid Dynamics
https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Variational_Principles_in_Classical_Mechanics_(Cline)/16%3A_Analytical_Formulations_for_Continuous_Systems/16.07%3A_Ideal_Fluid_Dynamics
Continuity equation. Euler's hydronamic equation. Irrotational flow and Bernoulli's equation. Gas flow.
5.3.2: Bernoulli’s Equation
https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/05%3A_Module_4_-_Special_Applications_of_Classical_Mechanics/5.03%3A_Objective_4.c./5.3.02%3A_Bernoullis_Equation
Bernoulli’s equation states that pressure is the same at any two points in an incompressible frictionless fluid. Bernoulli’s principle is Bernoulli’s equation applied to situations in which the heigh...Bernoulli’s equation states that pressure is the same at any two points in an incompressible frictionless fluid. Bernoulli’s principle is Bernoulli’s equation applied to situations in which the height of the fluid is constant. Bernoulli’s principle has many applications, including entrainment and velocity measurement.
11.3: Bernoulli’s Equation
https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/11%3A_Fluid_Dynamics_and_Its_Applications/11.3%3A_Bernoullis_Equation
For “ideal” flow along a streamline with no change in height, an increase in velocity results from a decrease in static pressure.
12.2: Bernoulli’s Equation
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
When a fluid flows into a narrower channel, its speed increases. That means its kinetic energy also increases. Where does that change in kinetic energy come from? The increased kinetic energy comes fr...When a fluid flows into a narrower channel, its speed increases. That means its kinetic energy also increases. Where does that change in kinetic energy come from? The increased kinetic energy comes from the net work done on the fluid to push it into the channel and the work done on the fluid by the gravitational force, if the fluid changes vertical position.

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