(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Derive the differential momentum equation: [tex]dp=-\rho udu[/tex].

2. Relevant equations

[tex]\oint_{ CS}^{ } \rho \vec{U}(\vec{U}\cdot \vec{n})dA=-\oint_{ CS}^{ } p\vec{n}dA[/tex] for steady state flow...

3. The attempt at a solution

I tried to solve it like in the attached picture, but can someone explain where the [tex]p+\frac{1}{2}dp[/tex] (marked with red line in the picture) comes from? Is it a linear interpolation or something?

Thanks!

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# Homework Help: Momentum Equation for compressible 1D flow

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