An Eulerian velocity vector field is described by V = 2xi − y2j − 3k, where i, j and k are unit vectors in the x-, y- and z-directions, respectively. (a) Is the flow one-, two- or three-dimensional? (b) Is the flow compressible or incompressible? (c) Does the the density field ρ = 2x/y satisfy the continuity equation? (d) What is the acceleration following a fluid particle?

Question

An Eulerian velocity vector field is described by V = 2xi − y2j − 3k, where i, j and k are unit vectors in the x-, y- and z-directions, respectively.

(a) Is the flow one-, two- or three-dimensional?

(b) Is the flow compressible or incompressible?

(c) Does the the density field ρ = 2x/y satisfy the continuity equation?

(d) What is the acceleration following a fluid particle?

 

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