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.

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.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.8P

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