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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

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.
315 W

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