In Chapter 1, it was stated that for incompressible liquids, flow work could usually be neglected in the steady-flow energy equation (Equation 1.11d). In the trans-Alaska pipeline, the high viscosity of the oil and long distances cause significant pressure drops, and it is reasonable to question whether flow work would be significant. Consider a L = 100 km length of pipe of diameter D = 1.2 m, with oil flow rate, 1, = 500 kg/s. The oil properties are p = 900 kg/m3, c p = 2000 J/kg ∙ K, μ = 0.765 N ∙ s/m2. Calculate the pressure drop, the flow work, and the temperature rise caused by the flow work.