Simplify the NavierStokes equation as much as possible for the case of an incompressible liquid being accelerated

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Simplify the Navier–Stokes equation as much as possible for the case of an incompressible liquid being accelerated as a rigid body in an arbitrary direction (Fig. P9–117). Gravity acts in the –z-direction. Begin with the incompressible vector form of the Navier–Stokes equation, explain how and why some terms can be simplified, and give your final result as a vector equation.


FIGURE P9–117

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