Turbulence & Hydrodynamics

This course covers the intricate subjects of turbulence physics and hydrodynamics. It starts with a simple example of a room heater to illustrate the concept of heat diffusion and its relation to turbulence. The course delves into the diffusion equation, turbulence's significance in various applications, and the concept of energy flux. It also explores different approaches to studying turbulence. The course then shifts to the fundamental concepts of hydrodynamics, focusing on incompressible Navier-Stokes equations, vorticity, conservation laws, and the continuum approximation. It further explains the concept of nondimensionalization and its importance in various fields. The course also covers the concept of vorticity in hydrodynamics, its evolution equation, and its significance. It concludes with a discussion on the conservation laws in hydrodynamics, focusing on the quadratic quantities that are crucial for describing fluid flows.