Past exam of the options I course of the University of Oxford / 2008 / K / K1 / iii

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- Solution iii

Solution

For this steady, inviscid, constant-density flow without a body force, Bernoulli's theorem says that

\frac{p}{ρ} + \frac{1}{2} (u^{2} + v^{2}) is constant along each streamline .

Its constant may vary from one streamline to another because the flow has vorticity.

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