Q3 (4-15) Consider steady, incompressible, two-dimensional flow through a converging duct (see the following figure). A simple approximate velocity field for this flow is V=(u,v)=(U0+bx)ibyj where U0 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 ax and ay and (2) as acceleration vector a. If the pressure field is given by P=P02[2U0bx+b2(x2+y2)] where P0 is the pressure at x=0. Generate an expression for the rate of change of pressure following a fluid particle