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Question: in addition derive the quotwave equationquot for an incompressible fluid...

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A flow is incompressible if a fluid element does not change its density as the element moves. From Problem 54.1, this means (7p/dt) u . ρ-0. (a) Show that for an incompressible fluid the equation of continuity reduces to V -u -0. (b) Write Eulers equation for the flow of an incompressible fluid. (c) What is c for an incompressible fluid?

In addition, derive the "wave equation" for an incompressible fluid. Use the continuity equation and the linearized euler equation.

Linearized Euler: Ou 1 Ot p

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