Chapter 5, Problem 43P

A velocity field is represented by the expression $\stackrel{\to }{V}=\left(Ax-B\right)\stackrel{\to }{i}+Cy\hat{j}+Dt\hat{k}$ where A = 0.2 s⁻¹, B = 0.6 m s⁻¹, D = 5 m s⁻² and the coordinates are measured in meters. Determine the proper value for C if the flow field is to be incompressible. Calculate the acceleration of a fluid particle located at point (x, y) = (3, 2). Plot a few flow streamlines in the xy plane.