One of the body's ways of increasing heat transfer with the environment is the use of goose bumps. The small raised regions on the skin offer increased surface area for transport. We would like to calculate the effectiveness of a goose bump. Referring to the Figure P9.9:

a. Determine the temperature profile within the goose bump.

b. Estimate the effectiveness of such a goose bump and comment on its usefulness as a heat transfer device.

\[\begin{array}{lll}h=100 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K} & T_{s}=37^{\circ} \mathrm{C} & T_{\infty}=30^{\circ} \mathrm{C} \\k_{s}=0.37 \mathrm{~W} / \mathrm{m} \mathrm{K} & r_{o}=0.001 \mathrm{~m} &\end{array}\]

Transcribed Image Text:

FIGURE P9.9 h, Top T