# Daniel Bernoulli – Bernoulli Principle

Who is Daniel Bernoulli, one of the famous Bernoulli family mathematicians and also a physicist? What is the Bernoulli principle? Here is the life of Bernoulli, his studies and discoveries…

Who is Daniel Bernoulli? The his and Inventions

Daniel Bernoulli was born on February 8, 1700 in Groningen, The Netherlands. His father, Johann Bernoulli, was one of the first developers of calculus, and his uncle Jakob Bernoulli was the first to discover probability theory. Daniel Bernoulli was introduced by W. W. Rouse Ball as “The most talented among the young of the family”. When he reached school age, his father advised Bernoulli to study business, but Bernoulli did not listen to his father because he wanted to study mathematics. Later, his father asked him to study medicine, and Daniel Bernoulli accepted this request only on the condition that his father to tutor him mathematics.

Daniel Bernoulli, who studied medicine in Basel, Heidelberg and Strasbourg, received his doctorate in 1721 by preparing a thesis on the function of the lungs. Bernoulli, who started his mathematical studies with his older brother Nicolas, later started working with his father.

Daniel, who studied mathematics and physics, died on March 17, 1782 in Basel, Switzerland.

## Studies of Bernoulli in Physics

Daniel Bernoulli laid the foundation of the kinetic theory for gases in his Hydrodaynamica and used this idea to explain Boyle’s law. He worked on elasticity with Leonhard Euler, another Swiss mathematician, and created the Euler-Bernoulli beam equation. The Bernoulli principle created by Daniel Bernoulli is of great importance in the field of aerodynamics.

## Bernoulli Principle

Bernoulli’s principle in fluid dynamics states that a rapid increase in a frictionless flow simultaneously causes a decrease in either pressure or potential energy of the fluid. Daniel published this principle in his book Hydrodynamica in 1738.

This principle, which is also referred to as the Bernoulli equation in different sources, can be applied on different types of fluid flow rates. In fact, there are different Bernoulli equations for different types of fluids. The simplest form of Bernoulli’s principle applies to incompressible fluids and compressible fluids moving at low Mach number.

In order for Bernoulli’s principle to be applied, the following assumptions must be met:

• The fluid must be incompressible – even if pressure changes, the density must remain constant along the streamline.

• Friction created by viscous forces should be negligible.

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