Advanced Fluid Mechanics

Dive into the world of advanced fluid mechanics with Dr. Afsaneh Mojra from the Department of Mechanical Engineering at K. N. Toosi University of Technology. Explore flow kinematics, equations, and concepts related to fluid dynamics in this informative collection of visual resources.

• Fluid Mechanics
• Dr. Afsaneh Mojra
• Flow Kinematics
• Mechanical Engineering
• Advanced

jear937 Follow

Uploaded on Feb 26, 2025 | 0 Views

Download Presentation

Please find below an Image/Link to download the presentation.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.

You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.

Presentation Transcript

1. Advanced Fluid Mechanics Dr. Afsaneh Mojra Department of Mechanical Engineering K. N. Toosi University of Technology

2. Flow Kinematics Dr. Afsaneh Mojra

3. ?? = ?? ? + ?? ? + ?? ? ? = ? ? + ? ? + ? ? ?? Flow Kinematics Dr. Afsaneh Mojra

4. ?? ?=?? ?=?? ???????? ??? ? ??????????: ? ?? ?? =? ?????????? ?? ??? ?? ?????: ? ????? ? ?????????? ?? ?=?? =?? ?= ?? ? ??? ??= ????,? ,?? ? = ?:? = ??,? = ??,? = ?? Flow Kinematics Dr. Afsaneh Mojra

5. : ? = ? 1 + 2? ,? = ?,? = 0 ?0= 1,?0= 1 ?? ??= ?(1 + 2?) ?? ??= ? ? = ?1?(1+2?)? ? = ?2?? ???? ??????? ??????????: ? = ?(1+2?)? ? = ?? ? = 0 ? = ?? ? = ?? ? = ? Flow Kinematics Dr. Afsaneh Mojra

6. Flow Kinematics Dr. Afsaneh Mojra

7. ?? ??= ?; ?? ??= ?; ?? ??= ? ??? ??= ??(??,?) Flow Kinematics Dr. Afsaneh Mojra

8. : ? = ? 1 + 2? ,? = ?,? = 0 ?? ? = 0: ?0= 1,?0= 1 ?.?.? ??????????? ? ? = ?1+??? Flow Kinematics Dr. Afsaneh Mojra

9. Flow Kinematics Dr. Afsaneh Mojra

10. : ? = ? 1 + 2? ,? = ?,? = 0 ?? ? = ?: ?0= 1,?0= 1 ?.?.? ) ?(?+? ??? = ? ? = ? ? = ?? ??? ? = ? ? Flow Kinematics Dr. Afsaneh Mojra

11. Flow Kinematics Dr. Afsaneh Mojra

12. : ) ( : CCW + : Flow Kinematics Dr. Afsaneh Mojra

13. : ??? ??? ??? ??? ?i= ??= 2(???? ?? ????????) Flow Kinematics Dr. Afsaneh Mojra

14. ? = ?:????????????,? ?:?????????? Flow Kinematics Dr. Afsaneh Mojra

15. Flow Kinematics Dr. Afsaneh Mojra

16. Flow Kinematics Dr. Afsaneh Mojra

17. Flow Kinematics Dr. Afsaneh Mojra

18. ? = ?.?? = ? ? ?? = ? ? ?? ? ? ? = 0 = 0 Flow Kinematics Dr. Afsaneh Mojra

19. ?? ?1 & ?2 0 ?????? ???????? Flow Kinematics Dr. Afsaneh Mojra

20. Flow Kinematics Dr. Afsaneh Mojra

21. ?? ?1 & ?2 0 ?????? ???????? Flow Kinematics Dr. Afsaneh Mojra

22. ? = 0 ??? = 0 ? ? ? ?? = 0 ? ? ?? + ? ? ?? = 0 ? ?1 ?2 ? ? = 0 ?2 ?1 ??= ?? Flow Kinematics Dr. Afsaneh Mojra

23. ? = ? ? = 0: vorticity vector is divergence free ??? = 0 ? ? ?? = 0 ? ? ? ? ?? + ? ? ?? = 0 ?1 ?2 2 1 ??= ?? ????= ???? Flow Kinematics Dr. Afsaneh Mojra