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What is Bernoulli's theorm?

Updated: 8/11/2023
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15y ago

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This is an important principle involving the movement of a fluid through a pressure difference. Suppose a fluid is moving in a horizontal direction and encounters a pressure difference. This pressure difference will result in a net force, which by Newton's 2nd law will cause an acceleration of the fluid.

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15y ago
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14y ago

The Bernoulli principle states that along any streamline (a streamline is the path traced out by arbitrarily small element of the fluid), the following equality holds:

p + ½ρv² + ρgz = constant

p - static pressure

ρ - density

v - speed

g - gravitational acceleration

z - vertical position

The constant is the total pressure also called the stagnation pressure. This equation was derived for theoretically "frictionless" or zero viscosity fluids but it is a fair approximation for real fluids where friction is not playing a significant role in the flow. For the case of gases the last term is negligible, so you can say that wherever the flow speed decreases along that streamline, the static pressure will increase. Why along the streamline? Because that constant is only a constant for a given streamline.

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11y ago

according to tis theorem,for the streamline flowof a non-viscousand incompressible liquid,the sum of the pressure energy,kinetic energy and potential energy per unit mass is a constant....

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15y ago

Bernoulli's Principle: The fluid pressure decreases as the speed of a moving fluid increases.

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15y ago

That in a fluid, as velocity (kinetic energy) increases, the pressure (potential energy) decreases.

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12y ago

the pressure of a fluid decreases when its speed increases.

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13y ago

Bernoulli's principle is that when the velocity of a fluid (air) increases, its pressure decreases.

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Q: What is Bernoulli's theorm?
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