Bernouilli's Law: Exploring Pressure & Throat Velocity

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In summary, Bernouilli's law states that there is a direct relationship between pressure drop and fluid's velocity at the throat. A high value negative absolute pressure achieved by increasing the throat velocity would imply an increase in the original pressure. However, this is not physically possible as absolute pressures cannot be negative. The absolute limit of velocity in any throat is limited by the sonic velocity.
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gerdsmit
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According to Bernouilli's law there is a direct relation between pressure drop and fluid's velocity at the throat. What would be the physical meaning of a high value negative absolute pressure that theoretically can be achieved by increasing fluid's throat velocity.
 
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  • #2
It would probably mean that the pressure experienced before the throat is increased,

In the eq P1 + 1/2DV1^2 = -P2 + 1/2DV2^2,
bring _p2 to the other side

=>P1+P2 + 1/2DV1^2 = 1/2DV2^2

(D=density,P1 = initial press.,P2=final pressure,same for V1 and V2)

implying that the original pressure is increased...
Hope you understand what I am trying to say...(good question though)
 
  • #3
gerdsmit said:
According to Bernouilli's [equation] there is a direct relation between pressure drop and fluid's velocity at the throat. What would be the physical meaning of a high value negative absolute pressure that theoretically can be achieved by increasing fluid's throat velocity.

It is nonsensical since absolute pressures cannot be negative.

CS
 
  • #4
Absolute limit of velocity in any throat is going to be sonic velocity. There's your limit right there.
 

FAQ: Bernouilli's Law: Exploring Pressure & Throat Velocity

What is Bernouilli's Law?

Bernouilli's Law, also known as the Bernouilli Principle, states that as the velocity of a fluid increases, the pressure exerted by the fluid decreases. This principle is based on the conservation of energy and is commonly observed in the flow of fluids, such as air and water.

How does Bernouilli's Law relate to pressure and throat velocity?

Bernouilli's Law explains the inverse relationship between pressure and throat velocity in a fluid. As the velocity of a fluid increases, the pressure decreases, and vice versa. This relationship is important in various fields, including aerodynamics and fluid mechanics.

What is the significance of Bernouilli's Law?

Bernouilli's Law is significant because it helps to explain the behavior of fluids and their interactions with objects. It is also a fundamental principle in the design and analysis of various technologies, such as airplane wings, water turbines, and medical devices.

Are there any real-life applications of Bernouilli's Law?

Yes, there are many real-life applications of Bernouilli's Law. Some examples include the lift force on airplane wings, the flow of water through a pipe, and the operation of carburetors and atomizers. The principle is also used in medical devices, such as nebulizers and inhalers.

How is Bernouilli's Law related to the conservation of energy?

Bernouilli's Law is based on the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred or converted from one form to another. In the case of Bernouilli's Law, the energy of a fluid is converted between kinetic energy (velocity) and potential energy (pressure) as it flows through a constriction, such as a throat or pipe.

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