During my PhD studies, I worked on the Turbulent Flows. I prepared these lecture slides with the intention of teaching the subject in a post-graduate degree program. One reason of preparing my own material on the subject was that I wanted to include clear explanations, provide limitations of validity for various laws and adopt an easy to follow writing style. It can be said that all the notes or lecture slides available on the turbulent flows are not necessarily easy to understand.
The second reason was that in Pakistan, I did not find a single university course that dealt with Turbulent Flows. Even the best Engineering universities were not offering this important course. It was therefore better to start a course with my personal course materials. The distinguishing feature of these particular slides/notes is that I have tried to provide the "Limitations" of various theories, laws and assumptions which are sometimes neglected and thus lead to in inaccurate results.
