Reynolds Transport Theorem

MEC516/BME516 Fluid Mechanics, Chapter 3 Control Volume Analysis, Part 3: This video covers the derivation of Reynolds Transport Theorem (RTT). We will used RTT later in the course to derive the integral equations for conservation of mass and momentum.
All of the videos in the courser and a copy (pdf) of this presentation can be downloaded at: www.drdavidnayl...
Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021.
#fluidmatters #fluidmechanics #fluiddynamics

[@veronicavalenzuela9858]

I have watched so many videos trying to explain this, but I always end up confused. You make it sound so straightforward! Thank you very much.

[@kehindeadetarami1477]

I absolutely understood everything, thanks sir

[@FluidMatters]

Glad to hear it was helpful.

[@AJ-rm7jp]

this saved me

[@allandavis6116]

It seems like it would be a good idea to state the RTT before deriving it.

[@FluidMatters]

Thanks for the feedback. This was one of my earlier attempts. Might remake it at some point.

[@abrahemabdulla569]

thank you for the video

[@Attalla-t9b]

5:20 I still don't understand why we need to analyze the change in momentum of the fluid to calculate the force needed to hold the nozzle in place. Or perhaps it's bcs the fluid is not accelerating and so we need to change F=m.a into F=m.v/t ?

[@FluidMatters]

This will become clearer in later videos. The fluid in a nozzle accelerates, even for a steady flow. This is because the fluid exits at a higher velocity than it enters -- that's the function of a nozzle. The force required to accelerate the flow has to come from somewhere. So, yes, you need to do an F=ma analysis for a control volume around the nozzle. I hope that helps. Here's a video that explains the analysis of forces on a nozzle: ua-cam.com/video/pk3nFNQRmFU/v-deo.htmlsi=s8Xxo_zzmxUJCfiE