In a pharmaceutical plant, a copper pipe (kc=400 W/mK) with inner diameter of 20 mm and wall thickness of 2.5 mm is used for carrying liquid nitrogen to a storage tank. The liquid oxygen flowing in the pipe has an average temperature of -200°C and a convection heat transfer coefficient of 120 W/m2K. The condition surrounding the pipe has an ambient air temperature of 20C and a combined heat transfer coefficient of 20 W/m2K. If the dew point is 10°C, determine the thickness of the insulation (ki=0.05W/mK) around the copper pipe to avoid condensation on the outer surface. Assume thermalcontact resistance is negligible.

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1. A plastic (k = 0.5 W/m K) pipe carries a coolant at -35 °C with a heat-transfer coefficient of 300 W/m².K. The pipe ID is 3 cm and the OD is 4 cm. The exterior pipe surface is exposed to air at 25°C with a heat-transfer coefficient of 20 W/m²K. Radiative heat transfer may be neglected in this problem. (a) Calculate the rate of heat transfer to the coolant per meter of pipe length. (b) Calculate the temperature of the exterior pipe surface.

1. Liquid oxygen is stored in a spherical tank with D = 5 ft. The surface of the tank was isolated with insulation material A with a thickness of 8 in and outside with material B with a thickness of 0.5 ft (kA = 0.022 Btu / j.ft.oF and kB = 0.04 Btu / j.ft.oF). Tank surface temperature (–4) oC and insulation surface temperature 50oC Calculate heat transfer from air to liquid oxygen tank! 2. A 2.0 inch Schedule 40 pipe has k = 27 Btu / h.ft.oF. The fluid in the pipe has h = 30 Btu / h.ft2.oF. The outer surface of the pipe is coated with a fiber glass insulation thickness of 4 mm with k = 0.023 Btu / h.ft.oF. The convection coefficient on the outer surface of the insulation is 2.0 Btu / h.ft2.oF. The temperature of the fluid contained in the pipe is 320oF and the ambient temperature is 70oF. Calculate the heat loss per unit length of pipe! 3. Two parallel plates with a diameter of 60 cm, separated at a distance of 15 cm. The temperature on the top surface is 4 oC and the temperature on…