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Euler Equation of Hydrodynamics

Start from Euler's equation
...
Take the divergence to obtain delta-p as a quadratic expression in
...
Use divv = 0 to make this as simple as you can. Assuming v and p vanish sufficiently rapidly at 1, express p itself in terms of v alone.

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We have the equations

div v = 0.

Second term in the first equation can be written in the form

= = .

We apply div operator to the first equation ...

Solution Summary

A problem involving the Euler Equation of Hydrodynamics is solved. The solution is detailed and well-presented.

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