A 50 meter long cast iron pipe with outer diameter of 10 cm passes in an open space of 288 K temperature. The outer surface of the pipe temperature is 423 K and the combined heat transfer coefficient on the outer surface of the pipe is 25 W/m² K. Considering and stating the necessary assumptions determine, (a) The rate of heat loss from the pipe (b) The energy lost per year if the cost of the fuel is 0.52 $/therm ( 1 therm = 105,500 kJ) (c) The thickness of the insulation if 98% of the energy loss is planned to be saved. Consider the conduction coefficient of the insulation is 0.035 W/mK. Tair = 288 K 423 K Steam 50 m Fiberglass insulation

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Chapter2: Steady Heat Conduction
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Problem 2.21P
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Q1.
A 50 meter long cast iron pipe with outer diameter of 10 cm passes in an open space of 288 K
temperature. The outer surface of the pipe temperature is 423 K and the combined heat transfer
coefficient on the outer surface of the pipe is 25 W/m? K. Considering and stating the necessary
assumptions determine,
(a) The rate of heat loss from the pipe
(b) The energy lost per year if the cost of the fuel is 0.52 $/therm ( 1 therm = 105,500 kJ)
(c) The thickness of the insulation if 98% of the energy loss is planned to be saved. Consider
the conduction coefficient of the insulation is 0.035 W/mK.
Tair = 288 K
423 K
Steam
50 m
Fiberglass
insulation
Figure Q1.
Transcribed Image Text:Q1. A 50 meter long cast iron pipe with outer diameter of 10 cm passes in an open space of 288 K temperature. The outer surface of the pipe temperature is 423 K and the combined heat transfer coefficient on the outer surface of the pipe is 25 W/m? K. Considering and stating the necessary assumptions determine, (a) The rate of heat loss from the pipe (b) The energy lost per year if the cost of the fuel is 0.52 $/therm ( 1 therm = 105,500 kJ) (c) The thickness of the insulation if 98% of the energy loss is planned to be saved. Consider the conduction coefficient of the insulation is 0.035 W/mK. Tair = 288 K 423 K Steam 50 m Fiberglass insulation Figure Q1.
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