Chapter 19: Problem 16
Briefly explain why the thermal conductivities are higher for crystalline than for noncrystalline ceramics.
Chapter 19: Problem 16
Briefly explain why the thermal conductivities are higher for crystalline than for noncrystalline ceramics.
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The constant \(A\) in Equation \(19.2\) is \(12 \pi^{4} R / 5 \theta_{\mathrm{D}}^{3}\), where \(R\) is the gas constant and \(\theta_{\mathrm{D}}\) is the Debye temperature \((\mathrm{K})\). Estimate \(\theta_{\mathrm{D}}\) for aluminum, given that the specific heat is \(4.60 \mathrm{~J} / \mathrm{kg} \cdot \mathrm{K}\) at \(15 \mathrm{~K}\).
Briefly explain thermal expansion using the poential energy-versus-interatomic spacing curve.
A 0.4-m (15.7-in.) rod of a metal elongates \(0.48\) \(\mathrm{mm}\left(0.019\right.\) in.) on heating from \(20^{\circ} \mathrm{C}\) to \(100^{\circ} \mathrm{C}\) \(\left(68^{\circ} \mathrm{F}\right.\) to \(\left.212^{\circ} \mathrm{F}\right)\). Determine the value of the linear coefficient of thermal expansion for this material.
(a) Briefly explain why thermal stresses may be introduced into a structure by rapid heating or cooling. (b) For cooling, what is the nature of the surface stresses? (c) For heating, what is the nature of the surface stresses?
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