Category: 10. Fluid Dynamics

The fundamental equations governing fluid dynamics are the Navier-Stokes equations. These equations describe the conservation of momentum and mass for a fluid. However, solving the Navier-Stokes equations analytically is often challenging, and numerical methods are commonly used for practical applications.

Fluid flow can be described by several characteristics, including velocity (speed and direction of motion), pressure (force exerted by the fluid per unit area), density (mass per unit volume), and viscosity (the resistance of the fluid to flow).

In fluid dynamics, the continuum hypothesis is often employed, treating fluids as continuous and homogeneous substances, rather than considering them as composed of individual molecules. This simplification allows for the use of differential equations to describe fluid motion.

Fluids are substances that can flow and take the shape of their container. They include liquids and gases. Fluid dynamics studies the behavior of fluids under various conditions, including flow patterns, pressure distribution, and turbulence.