Chapter 4, Problem 16P

Consider steady, incompressible, two-dimensional flow through a converging duct (Fig. P4-16). A simple approximate velocity field for this flow is $\stackrel{\to }{V}=\left(v,v\right)=\left(U_0+bx\right)\stackrel{\to }{i}-by\stackrel{\to }{j}$ Where U_o is the horizontal speed at x = 0. Note that this equation ignores viscous effects along the walls but is a reasonable approximation throughout the majority of the flow field. Calculate the material acceleration for fluid particles passing through this duct. Give your answer in two ways: (1) as acceleration components a_xand a_y and (2) as acceleration vector