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.
During my Mechanical Engineering degree program in Pakistan, we were not introduced to the inidical or index notation, which is widely used in fluid dynamics in France and rest of Europe. I therefore decided to include a separate chapter on this topic.
Furthermore, these slides have not been prepared for students and researchers of mathematics, physics, chemistry and bio-sciences; they are meant primarily for engineers (a more practical approach) although researchers of other disciplines would also find them useful.
Each chapter deals with a broad sub-topic of this introductory text. Each chapter has been prepared separately although it is possible to create a single pdf file from the individual files. Latex Beamer class was used to prepare these slides. Finally, these slides will be revised and enlarged as per requirements of the program.
Each chapter deals with a broad sub-topic of this introductory text. Each chapter has been prepared separately although it is possible to create a single pdf file from the individual files. Latex Beamer class was used to prepare these slides. Finally, these slides will be revised and enlarged as per requirements of the program.
Unless otherwise stated, the flows dealt with here are homogeneous (or single-phase), non-reacting and adiabatic (no heat transfer). Also the laminar-turbulent transition has not been covered here.
Index Notation
https://drive.google.com/open?id=0B_pxDEFYaVCLZ3VOYjdRUXBDQkk
Equations of Turbulent Flows
https://drive.google.com/open?id=0B_pxDEFYaVCLa1ZaSGFOZVNtb1k
Turbulent Boundary Layer
https://drive.google.com/open?id=0B_pxDEFYaVCLa1ZaSGFOZVNtb1k
Turbulence Modelling (not uploaded)
Statistical Description of Turbulent Flows (not uploaded)
Energy Equation for Turbulent Flows (not uploaded)
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