Discussing the physical meaning of the Reynolds Transport Theorem and applying it to formulate the continuity equation. Part of the Advanced Fluid Mechanics course.
material volume ,material particle, system , fixed volume , etc , lots of concepts in the fluid mechanics and slightly different equations . Without your explanations i could ve fail fluid mechanics course. fixed in space was remaining i think for the control volume
In the derivation of continuity equation for incompressible fluid, The divergence of the velocity field is zero. I was confused since you take the gradient of velocity.
Here, the nabla operates on a vector field (velocity) and the result is a scalar, so it is indeed divergence. Gradient operates on a scalar field, and the result is a vector.
Thank you! I use the screen capture as write the notes on a tablet and then remove the background and overlay them on the main frame in Final Cut Pro (you could also do it in Premiere or other video editors).
Mass times volume is not equal to mass. Density times volume is equal to mass. Using "beta" = extensive property per unit mass would have reconciled your equations to be dimensionally correct and prevented confusion. Nicely presented otherwise.
I didn't know quentin tarantino was also a fluid mechanics professor. Right on!
The production quality of this video is amazing!
Thank you!
Great Video! I was looking to refresh my concepts and this video is exactly what I needed
Thank you. Enjoy!
Thank you. This explanation is very well done.
This channel is really underrated
absolutely amazing lecture.
I really love your way.
Thank you! I'm glad you liked it.
Thank you!
Great explanation
What a great video! Video quality as well as your explanations are sharp.
Which microphone do you use?
Very clear! Thank you.
Thank you!
material volume ,material particle, system , fixed volume , etc , lots of concepts in the fluid mechanics and slightly different equations . Without your explanations i could ve fail fluid mechanics course. fixed in space was remaining i think for the control volume
sorry what is dA in the integral expression?
In the derivation of continuity equation for incompressible fluid, The divergence of the velocity field is zero. I was confused since you take the gradient of velocity.
Here, the nabla operates on a vector field (velocity) and the result is a scalar, so it is indeed divergence. Gradient operates on a scalar field, and the result is a vector.
@@peteroshkai This can be confusing with the existence of velocity gradient tensor
I agree, this notation is ambiguous. Good video otherwise
Very interesting and nice video. Would you mind sharing how do you do to make the iPad appear on screen? I would like to teach as your video.
Did you find the solution? I need it too
You should use devices such atem mini pro as I know.
@peteroshkai what app are you using to record your notes? This looks fantastic and this makes me want to redo all of my lecture videos!
Thank you! I use the screen capture as write the notes on a tablet and then remove the background and overlay them on the main frame in Final Cut Pro (you could also do it in Premiere or other video editors).
@@peteroshkai Thank you for your response! Also, I love your handwriting and drawing style. Have a great day!
could you please teach us how to get the N-S function
Thank you for the comment. It's certainly something to consider in the future.
twilight sparkle
Mass times volume is not equal to mass. Density times volume is equal to mass. Using "beta" = extensive property per unit mass would have reconciled your equations to be dimensionally correct and prevented confusion. Nicely presented otherwise.
Thanks for catching it!