Passive Scalar Turbulence — Lesson 3

This lesson covers the concept of Passive Scalar Turbulence, focusing on the definition of flux spectrum and the energy in a shell. It explains the properties of the spectrum and how it is influenced by the velocity field. The lesson also discusses the concept of scalar energy flux and the assumptions made in the study of turbulence. It further delves into the topic of spectrum and dimensional analysis, explaining how the spectrum can depend on various factors. The lesson concludes with a discussion on the inertial dissipation range.

Video Highlights

00:53 - Discussion on velocity field and its properties
02:27 - Discussion on scalar energy flux
04:26 - Discussion on spectrum and dimensional analysis
10:46 - Discussion on inertial dissipation range
18:45 - Explanation of structure function and its properties

Key Takeaways

- Passive Scalar Turbulence involves the study of flux spectrum and energy in a shell.
- The spectrum is influenced by the velocity field and scalar energy flux.
- Assumptions are made in the study of turbulence, such as the independence of Fu from theta.
- The spectrum can depend on various factors, which can be determined through dimensional analysis.
- The inertial dissipation range is an important concept in turbulence, and equations for pi theta pi u and pi theta E theta are applicable when both are five-third.