Thermodynamic

May 26th, 2016
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Water flows through a copper pipe (k = 385 W/m K) with an outer diameter of 100 mm and 2 mm wall thickness. a) Calculate the heat loss by convection and conduction per meter length of uninsulated pipe when the water temperature is 30oC, the outside air temperature is -20oC, the water side heat transfer coefficient is 30 kW/m2 K and the outside heat transfer coefficient is 20 W/m2 K.

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Task 1A (LO 1: 1.1, M1 and D3)Water flows through a copper pipe (k = 385 W/m K) with an outer diameter of 100 mm and 2 mm wallthickness.a)Calculate the heat loss by convection and conduction per meter length of uninsulated pipe whenthe water temperature is 30oC, the outside air temperature is -20oC, the water side heat transfercoefficient is 30 kW/m2 K and the outside heat transfer coefficient is 20 W/m2 K.Solution=2(1 2 )11+ ln 12 +1 12 12(1 2 )=11+ ln 2 1 +1 12 1==2(30(20)0.05ln 0.04811(30000 0.048) ++38520 0.05314.15936.94 104 + 1.06 104 + 1314.15931.0008b)= 313.91 /Calculate the corresponding heat loss when the pipe is lagged with insulation having a thicknessof 60 mm, and thermal conductivity of k = 0.05 W/m K.Solution=2(1 2 )221111+++1 22 1=2(30 (20))0.050.055ln() ln110.05 +() + 0.048 +30000 0.0483850.0520 0.0556.94 104314.1593+ 1.06 104 + 1.906 + 0.9091= 111.57 /1c)Make effective judgments about the requirement of insulating the pipe, according to the heatloss calculated in part 1 and part 2. (M1)SolutionHeat loss for uninsulated pipe is determined by convective heat transfer coefficient on the outsi

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