Observations of a fluid flow indicate that a velocity field can be represented by the velocity components u = 8z, v = 6x, and w = 2x, where gravity has a magnitude g and acts in the negative...

Observations of a fluid flow indicate that a velocity field can be represented by the velocity components u = 8z, v = 6x, and w = 2x, where gravity has a magnitude g and acts in the negative z-direction. Within the flow field, the viscosity is presumed constant. Assess whether this given velocity field satisfies the Navier–Stokes equation. If not, speculate on what may be the reason. If so, find an expression for the pressure distribution.