Limitations of Bernoulli’s Principle
There are several limitations to Bernoulli’s principle:
- Due to friction, the velocity of fluid particles in the middle of a tube gradually decreases in the tube’s direction. As a result, the liquid’s mean velocity must be used, as the velocity of the particles of the liquid is not constant.
- This Bernoulli equation is effective in streamlining liquid supply, but it is ineffective in turbulent or non-steady flow.
- The liquid flow will be affected by the liquid’s external force.
- This theorem is preferably applied to non-viscous fluids, and an incompressible fluid is required.
- When a fluid is travelling in a curved path, the energy generated by centrifugal forces must be taken into account.
- The liquid flow should remain constant over time.
- A small amount of kinetic energy can be converted to heat energy in an unstable flow, and some energy can be lost due to shear stress in a thick flow. As a result, these losses must be overlooked.
- The effect of viscosity must be negligible.
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Bernoulli’s Principle
Bernoulli’s Principle is a very important concept in Fluid Mechanics which is the study of fluids (like air and water) and their interaction with other fluids. Bernoulli’s principle is also referred to as Bernoulli’s Equation or Bernoulli Theorem.
This principle was first stated by Daniel Bernoulli and then formulated in Bernoulli’s Equation by Leonhard Euler in 1752, which provides the relationship between the pressure (P) of the fluid flowing, at a height (h) of the container having kinetic and gravitational potential energy.
The conservation of energy was found to be true for flowing fluids by the statement of Bernoulli’s Principle. It may seem contradictory, but Bernoulli’s principle describes how a fluid’s velocity and pressure are related to each other.
In this article, we have provided what is Bernoulli’s principle, Bernoulli’s equation, its derivation, examples, and proof.
Table of Content
- What is Bernoulli’s Principle?
- Bernoulli’s Principle Formula
- Bernoulli’s Equation Derivation
- Principle of Continuity
- Applications of Bernoulli’s Principle and Equation
- Relation between Conservation of Energy and Bernoulli’s Equation
- Limitations of Bernoulli’s Principle