Problem 1 (20 points) Fuel oil flows in a horizontal pipe with a diameter of 110 cm. The oil flow rate is 0.45 m/s. The properties of fuel oil are: p = 985 kg/m, and v = 3.810-4 m/s. (a) Calculate the entrance length of this pipe. (b) Obtain the pressure drop per unit length of the pipe and calculate the centerline velocity. (c) Determine the shear stress at the wall and at the radius of 20 cm from the centerline. (d) Using the given data, find the equation for the velocity distribution as a function of r only. (e) What angle is needed for a downhill flow in the pipe to make Ap = 0? Is this possible? Explain.