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1. For an Eulerian flow field described by u = 2x, v = 16 (y + x), w = 0, ρ = at2 +xy, find the rate of change of density of a particle of fluid with respect to time t in two different ways. Is this flow field possible?
2. For an Eulerian flow field described by u = 2xt, v = y2x/2, w = 0,
(a) How many dimensions does the flow field have?
(b) Find the rate of change of density (per unit mass) following a fluid particle as a function of x, y and t. (c) Find the x-component of the acceleration as a function of x, y and t.
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