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(25 pts) A natural gas pipeline (50 cm diameter) is routed through a river as shown in the sketch below. The river water is 15 C and the pipe temperature may be assumed to be the same. Natural gas (methane) at a pressure of 500 kPa, flows through the pipeline at a bulk velocity of 30 m/s. Fluid properties of methane and other parameters are listed here: 4. Water, . T, NatI Gas Surface temperature: T 15 C Inlet temperature: Pipe length Thermal conductivity: kmethone 0.070 W/m C Density: Kinematic viscosity: Umethone- 7.00 x 10s m/s Specific heat: Thermal diffusivity: nethane 1.17 x 10 s m/s Prandti number T,-100-C L 40 m Pmethone 2.14 kg/m Cp-methane-2800 /kgC Prmethane 0.7400 a. What is an appropriate average convection coefficient over the length of the submerged pipe? What is the exit temperature of the methane at the end of the underwater section? What is the rate of heat loss by the methane over the length of the submerged pipe? b. c.
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