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Aside: The material derivative 

learnfluidmechanics
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Although we model fluids as if they are continuous materials, we can still identify blobs of fluid within that field. For example, we could drop a blob of ink into water and follow the ink as it moves around. If we knew the velocity field in the fluid, we could use the material derivative to calculate the velocity of that blob of fluid. This clip explains the material derivative by using the example of a punt drifting down the river next to the Mill pub, opposite Queen's College in Cambridge.

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22 авг 2024

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Комментарии : 16   
@cleisonarmandomanriqueagui7502
@cleisonarmandomanriqueagui7502 5 дней назад
Amazing , the top level of understanding . intuition
@federicoattene1147
@federicoattene1147 5 лет назад
That is amazing!!!!...Thank you! I have never really understood this concept before. Hope you can add some similar explanation regarding the effect of dealing with moving reference frames in NS equations or some material regarding tensor calculus.
@simondemarque2826
@simondemarque2826 3 года назад
Better explanation than in Batchelor, but it would be useful to explain also the connection between lagrangian and eurlerian approach
@artherladett442
@artherladett442 3 года назад
It's just so clear. I don't understand why all professors can't express themselves like this.
@time-trader
@time-trader 6 лет назад
One of the most intuitive material derivative examples
@orangus01
@orangus01 6 лет назад
Thank you, that was incredibly helpful!
@samr2263
@samr2263 3 месяца назад
4:42 so the convective part is independant of time, is that correct ? Is it as if it was "moving" accross space at a certain point in time kept constant ?
@sulskull
@sulskull 4 года назад
In the begining he said that the velocity of you is a function of time, how did he then get it as a function of (X,Y)?
@georgecristache5931
@georgecristache5931 5 лет назад
i never thought cow poo could help me understand such conceps. thank you
@kylem6532
@kylem6532 7 лет назад
Absolutely amazing!! Thank you :)
@marceitner576
@marceitner576 6 лет назад
Great explanation!
@comment8767
@comment8767 3 месяца назад
We don't have any punts in the US.
@jr7sa
@jr7sa 7 лет назад
Nice explanation!!
@pacchutubu
@pacchutubu 6 лет назад
Thanks for taking time to explain these. It was very insightful. My question is, what if the punt is travelling at twice the speed or if it takes some different path? How will the equation differ? Thanks
@pacchutubu
@pacchutubu 6 лет назад
Sorry, got it. The equation should remain same, only velocity vector value changes.
@vinaynandurdikar2005
@vinaynandurdikar2005 6 лет назад
Thank you
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