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(a) Consider an observer who measures the density p(x, t) of a flow system at a fixed point x every At time periods, e.g. at
(a) Consider an observer who measures the density p(x, t) of a flow system at a fixed point x every At time periods, e.g. at times t, t + At, t + 2At, etc. Show that the observer measurements determine the time derivative Op/at (b) Consider now an observer who moves with the system velocity u and measures the density p(2, t) every At time periods, e.g. the observer measures the density p at (2,t), then at (2 + Art + At), etc. Show that the observer measurements determine the material derivative Dp/Dt
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