Bernoulli’s Principal Formula
Bernoulli’s Principle is formulated into an equation called Bernoulli’s Equation. Bernoulli’s Equation is a relationship between kinetic energy, gravitational potential energy, and the pressure of the fluid inside the container.
Thus, Bernoulli’s Principle Formula is stated as:
[Tex]\bold{P+\dfrac{1}{2}\rho v^2+\rho gh=\text{Constant}} [/Tex]
where,
- P is the Pressure exerted by the fluid,
- ρ is the Density of the fluid,
- v is the Velocity of the fluid,
- g is the Acceleration due to gravity and
- h is the Height of the container.
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