A2d, incompressible flow field is described by the stream function φ= -(ax^2-ay^2). a. is the flow possible? b. is the flow field a potential flow field? if so, find the potential function and draw the potential lines. c. find the velocity field. d. find the stream line that passes through (3,0) and draw it. e. calculate the flow rate that passes through (3,1) and (5,1).

Asolid cylinder is concentric with a straight pipe. the cylinder is 0.5 m long and has an outside diameter of 8 cm. the pipe has an inside diameter of 8.5 cm. the annulus between the cylinder ad the pipe contains stationary oil. the oil has a specific gravity of 0.92 and a kinematic viscosity of 5.57 x 10-4 m2/s. most nearly, what is the force needed to move the cylinder along the pipe at a constant velocity of 1 m/s?