1. In polar coordinates, the continuity equation is
Show that
2. Using the laws for the addition of vectors and equation (), show that in the absence of gravity,
(a) the fluid acceleration, pressure force, and viscous force all lie in the same plane;
(b) in the absence of viscous forces the fluid accelerates in the direction of decreasing pressure;
(c) a static fluid will always start to move in the direction of decreasing pressure.
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