Navier Stokes Thm Homework: Equations & Solutions

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SUMMARY

The discussion centers on the Navier-Stokes theorem and a specific homework problem involving the equation for potential energy. The participant identifies an oversight in the transcription of the equation, specifically the introduction of the variable "h" in the constant C1, which is defined as C1 = (ρg/μ)h sin(α). The confusion arises from the absence of "h" in earlier steps, leading to questions about its necessity in the formula. The participant seeks clarification on the mathematical derivation and its implications for understanding fluid dynamics.

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yecko
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Homework Statement


螢幕快照 2018-04-25 下午8.44.18.png
[/B]
螢幕快照 2018-04-25 下午8.44.41.png


Homework Equations


Navier strokes theorem

The Attempt at a Solution


May I ask why would there suddenly a "h" in the highlighted part?
"h" wasnt existed in the previous steps, which C2=0 shouldn't add height of the liquid as a constant in the formula...
thanks
 

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  • 螢幕快照 2018-04-25 下午8.44.18.png
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The oversight occurs earlier, where it should say:

So that the constant in Eqn (2) is
##C_1\ =\ \dfrac{\rho g}\mu h\sin α##
 
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Likes yecko and jedishrfu
That's following the ##U## being potential energy and so extending the ##U = mgh## to factor in the ##sin (\alpha)## right?
 
I followed the maths until I saw where the author had forgotten to transcribe an h[/color].
 

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