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For incompressible liquids flow work could usually be neglected in the steady-flow energy equation. 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 an L = 100 km length of pipe of diameter D = 1.2 m, with oil flow rate m(dot) = 500 kg/s. The oil properties are Density, p = 900 kg/m3, cp = 2000 J/kg K, and (mu) u = 0.765 N s/m2. Calculate the pressure drop, the flow work, and the temperature rise caused by the flow work.
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