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.

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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Question

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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