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Born on February 10, 1785, in Dijon, France, Claude-Louis Navier was a celebrated engineer and physicist who left an indelible mark on the field of fluid mechanics. Navier passed away on August 21, 1836, in Paris, France, leaving a rich legacy of scientific inquiry and discovery.

Despite a challenging childhood marked by the loss of his father during the French Revolution, Navier developed an interest in the physical sciences, partly influenced by his uncle Émiland Gauthey, a civil engineer. He studied at the prestigious École Polytechnique and later at the École Nationale des Ponts et Chaussées.

Navier had a lifelong dedication to public service, working for many years as a bridge inspector and professor at the École Nationale des Ponts et Chaussées. He never married and did not have any children. His dedication to his work was such that he often referred to his research as his family.

Navier had a deep interest in politics and was a strong advocate for social justice. He was heavily involved in the French political scene and was known to voice his views on the role of science in society, advocating for its use in improving public welfare.

Navier is most renowned for his work in fluid mechanics, an area of physics dealing with the behavior of liquids and gases. His most significant contribution is arguably the Navier-Stokes equations, which describe the motion of viscous fluid substances.

The development of these equations wasn't easy. Navier faced considerable skepticism from the scientific community. However, his determination and belief in his theories led to acceptance over time.

Some of the remarkable achievements of Claude-Louis Navier in the realm of physics and civil engineering include:

- Formulation of the Navier-Stokes equations in fluid dynamics.
- Significant contributions to the theory of elasticity, leading to the Navier's equations in elasticity theory.
- Pioneering work in the field of civil engineering, particularly in bridge construction.

Navier's works have greatly improved our understanding of fluid dynamics and elastic materials, influencing a wide range of fields, from civil engineering to meteorology. His advancements in bridge construction have had a significant impact on civil engineering practices worldwide.

One of Navier's most critical contributions to physics is the Navier-Stokes equations, a pair of equations describing the motion of viscous fluid substances. They can be presented as:

The Navier-Stokes Equations

ρ(∂v/∂t + v.∇v) = -∇p + η∇^{2}v + ρg

Where:

- ρ: fluid density
- v: fluid velocity
- t: time
- p: fluid pressure
- η: fluid dynamic viscosity
- g: gravitational acceleration vector

This formula laid the foundation for modern fluid dynamics, affecting many areas of engineering and physical science.

The following tutorials and calculators are influenced by the work the great physicist Claude Louis Navier, each calculator contains a tutorial that explains Claude Louis Navier in the field