The ears of a rabbit can be thought of as two rectangular fins that dissipate heat. The dimensions are 0.1 cm thickness, 3 cm width, and 7 cm length. The average body temperature of a rabbit is 38°C. Assume this to be the temperature of the base of the head where the ears are located. The top of the head can be assumed to be a surface with area 42 cm², neglecting the area (including the base) of the ears. Assume an adiabatic tip condition for the ears. Also, neglect radiation. The thermal conductivity of the rabbit's skin is 3 W/m.°C. The convection coefficient and temperature of the air are 8 W/m².°c and 10°C, respectively. With this in mind, find the total heat transfer from the top of the rabbit's head including the ears. 1315 W

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter2: Steady Heat Conduction
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Problem 2.25P: Show that the rate of heat conduction per unit length through a long, hollow cylinder of inner...
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The ears of a rabbit can be thought of as two rectangular fins that dissipate heat. The dimensions are 0.1 cm
thickness, 3 cm width, and 7 cm length. The average body temperature of a rabbit is 38°C. Assume this to
be the temperature of the base of the head where the ears are located. The top of the head can be assumed
to be a surface with area 42 cm², neglecting the area (including the base) of the ears. Assume an adiabatic
tip condition for the ears. Also, neglect radiation. The thermal conductivity of the rabbit's skin is 3 W/m. °C.
The convection coefficient and temperature of the air are 8 W/m².°c and 10°C, respectively. With this in
mind, find the total heat transfer from the top of the rabbit's head including the ears.
1315 W
Transcribed Image Text:The ears of a rabbit can be thought of as two rectangular fins that dissipate heat. The dimensions are 0.1 cm thickness, 3 cm width, and 7 cm length. The average body temperature of a rabbit is 38°C. Assume this to be the temperature of the base of the head where the ears are located. The top of the head can be assumed to be a surface with area 42 cm², neglecting the area (including the base) of the ears. Assume an adiabatic tip condition for the ears. Also, neglect radiation. The thermal conductivity of the rabbit's skin is 3 W/m. °C. The convection coefficient and temperature of the air are 8 W/m².°c and 10°C, respectively. With this in mind, find the total heat transfer from the top of the rabbit's head including the ears. 1315 W
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