2. An incompressible Newtonian fluid is flowing in the z direction in a square duct bounded by the surfaces x=H and y=H. It has been suggested that the velocity of the fluid in the duct is given by: vx=vy=0vz=4L(p0pL)[1(Hx)2][1(Hy)2] where p0pL is the pressure difference between the ends of the duct, L. is the length of the duct, and is the viscosity of the fluid. Determine the components of for this flow. (Note: This is not the true velocity profile in such a duet.) 2. An incompressible Newtonian fluid is flowing in the z direction in a square duct bounded by the surfaces x=H and y=H. It has been suggested that the velocity of the fluid in the duct is given by: vx=vy=0vz=4L(p0pL)[1(Hx)2][1(Hy)2] where p0pL is the pressure difference between the ends of the duct, L. is the length of the duct, and is the viscosity of the fluid. Determine the components of for this flow. (Note: This is not the true velocity profile in such a duet.)