Solved: Estimate the rate at which heat can be conducted

Chapter 21, Problem 55GP

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QUESTION:

Estimate the rate at which heat can be conducted from the interior of the body to the surface. As a model, assume that the thickness of tissue is 4.0 cm. that the skin is at \(34^\circ{C}\) and the interior at \(37^\circ{C}\). and that the surface area is \(1.5 \ \mathrm{m}^2\). Compare this to the measured value of about 230 W that must be dissipated by a person working lightly. This clearly shows the necessity of convective cooling by the blood.

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QUESTION:

Estimate the rate at which heat can be conducted from the interior of the body to the surface. As a model, assume that the thickness of tissue is 4.0 cm. that the skin is at \(34^\circ{C}\) and the interior at \(37^\circ{C}\). and that the surface area is \(1.5 \ \mathrm{m}^2\). Compare this to the measured value of about 230 W that must be dissipated by a person working lightly. This clearly shows the necessity of convective cooling by the blood.

ANSWER:

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The thickness of the tissue is:

The area of the surface of the body is:

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