Chapter 12: Problem 88
When the earth is closest to the sun, we have winter in the northern hemisphere. Explain why. Also explain why we have summer in the northern hemisphere when the earth is farthest away from the sun.
Chapter 12: Problem 88
When the earth is closest to the sun, we have winter in the northern hemisphere. Explain why. Also explain why we have summer in the northern hemisphere when the earth is farthest away from the sun.
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Get started for freeThe reflectivity of aluminum coated with lead sulfate is \(0.35\) for radiation at wavelengths less than \(3 \mu \mathrm{m}\) and \(0.95\) for radiation greater than \(3 \mu \mathrm{m}\). Determine the average reflectivity of this surface for solar radiation \((T \approx 5800 \mathrm{~K})\) and radiation coming from surfaces at room temperature \((T \approx 300 \mathrm{~K})\). Also, determine the emissivity and absorptivity of this surface at both temperatures. Do you think this material is suitable for use in solar collectors?
The spectral emissivity function of an opaque surface at \(1000 \mathrm{~K}\) is approximated as $$ \varepsilon_{\lambda}= \begin{cases}\varepsilon_{1}=0.4, & 0 \leq \lambda<2 \mu \mathrm{m} \\ \varepsilon_{2}=0.7, & 2 \mu \mathrm{m} \leq \lambda<6 \mu \mathrm{m} \\ \varepsilon_{3}=0.3, & 6 \mu \mathrm{m} \leq \lambda<\infty\end{cases} $$ Determine the average emissivity of the surface and the rate of radiation emission from the surface, in \(\mathrm{W} / \mathrm{m}^{2}\).
A surface is exposed to solar radiation. The direct and diffuse components of solar radiation are 350 and \(250 \mathrm{~W} / \mathrm{m}^{2}\), and the direct radiation makes a \(35^{\circ}\) angle with the normal of the surface. The solar absorptivity and the emissivity of the surface are \(0.24\) and \(0.41\), respectively. If the surface is observed to be at \(315 \mathrm{~K}\) and the effective sky temperature is \(256 \mathrm{~K}\), the net rate of radiation heat transfer to the surface is (a) \(-129 \mathrm{~W} / \mathrm{m}^{2}\) (b) \(-44 \mathrm{~W} / \mathrm{m}^{2}\) (c) \(0 \mathrm{~W} / \mathrm{m}^{2}\) (d) \(129 \mathrm{~W} / \mathrm{m}^{2}\) (e) \(537 \mathrm{~W} / \mathrm{m}^{2}\)
You have probably noticed warning signs on the highways stating that bridges may be icy even when the roads are not. Explain how this can happen.
The variation of the spectral absorptivity of a surface is as given in Fig. P12-78. Determine the average absorptivity and reflectivity of the surface for radiation that originates from a source at \(T=2500 \mathrm{~K}\). Also, determine the average emissivity of this surface at \(3000 \mathrm{~K}\).
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