Explained: Substantial Derivative [Math]

[@JoshTheEngineer]

That is what I said in the video. There are lots of ways to perform the math behind the derivation, but the explanation that Anderson gives in his books is the best way I've found to describe what is physically happening in the flow.

[@JoshTheEngineer]

He definitely does. It's nice to understand things from a view that's not always mathematical. If you see something in my videos from his books, I'm usually trying to fill in the blanks or clarify something that didn't make sense to me at first.

[@anjaligoswami8069]

Josh, you explained in the easiest way.. No doubt you took help of anderson but your language and the way to explain is lot more easy than Anderson... Thank youuu so much

[@JoshTheEngineer]

Thank you Anjali! Yep, this particular derivation comes from Anderson, but I hope I added something of relevance to the explanation.

[@vinaynandurdikar2005]

I agree

[@divykangeyan]

Thank you for clearly explaining the difference between partial derivative and substantial derivative !

[@BenevolentXMachine]

Dude, you fuckin' explained this super well. Thanks mang.

[@evangeloskementzetzidis294]

Good job man.. Keep on going!! By the way can you share the title of the book?

[@JoshTheEngineer]

Thank you, I appreciate it! Book title is in the video description: Modern Compressible Flow by John D. Anderson.

[@qweruio100]

yes, anderson makes everything the easy way sometimes, i noted it just becose i saw that last monday

[@qweruio100]

did you taked it out literally from anderson? jajaja

[@BIWASHKARKI-mg2lg]

This explanation really helped me.

[@danielkoch8291]

Still helpful in 2022

[@lazypunk794]

good explanation and analogy.

[@arunbalakrishnaswamy5354]

Good work...

[@JoshTheEngineer]

Thank you!

[@IsonNesamony]

good explanation Josh!!!Thanks!!!

[@JoshTheEngineer]

You're welcome!

[@vinaynandurdikar2005]

Great explanation...Thank

[@JoshTheEngineer]

No problem!

[@Sinusis]

Very good video. Thanks a lot.

[@JoshTheEngineer]

You're welcome!

[@MizzRiverP]

thanks so much! nice video

[@JoshTheEngineer]

+River P Thanks for watching!

[@JoshTheEngineer]

No problem, I'm glad it helped!

[@vanessasim2024]

thank you! it helped a lot.

[@JoshTheEngineer]

No problem!

[@davidmatos1974]

good job!

[@JoshTheEngineer]

Thank you!

[@anasm1326]

Thank you very much

[@JoshTheEngineer]

You're welcome!

[@hemangvadgama5258]

Thankyou

[@JoshTheEngineer]

You're welcome!

[@spiritedaway316]

Life Saver!

[@jeevashriram7961]

thanks man

[@inexorableratul]

Thanks man.

[@JoshTheEngineer]

No problem!

[@geovannaquinde5373]

q guapo