Question

Consider the velocity field given as, \vec{V}=2 x y \hat{i}+\left(x^{2}+z^{2}\right) t^{2} \hat{j}+y^{2} t^{2} \hat{k} with x, y, and z in meters, and t in seconds, and V in m/s. (a) Find the local acceleration of a fluid particle at (0,-1,-1) at time t = -1. Show all steps. (b) Find the total acceleration of a fluid particle located at point (0,-1,-1) at time t = −1.Show all steps. (c) Is the flow steady or unsteady? How do you know? (d) Is the flow incompressible? How do you know?

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