Bernoulli's Principle in Fluid Dynamics

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Questions and Answers

According to Bernoulli's principle, what happens to the static pressure of a fluid when its speed increases?

  • It remains constant
  • It increases
  • It decreases (correct)
  • It fluctuates

Who derived Bernoulli's equation in its usual form?

  • Isaac Newton
  • Daniel Bernoulli
  • Leonhard Euler (correct)
  • Galileo Galilei

From which principle can Bernoulli's principle be derived?

  • Conservation of mass
  • Principle of relativity
  • Conservation of energy (correct)
  • Newton's second Law of Motion

What does the sum of all forms of energy in a fluid remain constant require?

<p>The sum of kinetic energy, potential energy, and internal energy remains constant (C)</p> Signup and view all the answers

Where is the sum of all forms of energy the same in a reservoir?

<p>$\text{Everywhere}$ (B)</p> Signup and view all the answers

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Study Notes

Bernoulli's Principle

  • An increase in the speed of a fluid results in a decrease in its static pressure.
  • This relationship illustrates the conservation of energy within a fluid system.

Derivation of Bernoulli's Equation

  • Bernoulli's equation, expressed in its common form, was derived by Daniel Bernoulli.

Underlying Principle

  • Bernoulli's principle can be derived from the conservation of mechanical energy principle, emphasizing energy transfer within fluid motion.

Energy Conservation in Fluids

  • The total energy of a fluid, which includes kinetic energy, potential energy, and internal energy, remains constant throughout the fluid's flow.
  • This concept signifies that energy can transform from one form to another but cannot be created or destroyed.

Energy Uniformity in Reservoirs

  • Within a reservoir, the sum of all forms of energy for the fluid remains uniform, indicating equilibrium throughout the system.

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