5. The spectral distribution of the radiation emitted by a diffuse surface is ap- proximated in the figure. Find the total emissive power and the total intensity. 1400 1000 1000 600 600 200 200 20 40 60 80 100 120 4 6 8 10 12 (E (unt" zW/M G, (W/m²,µm) 2.
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THE PROBLEM IS FROM THE BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD.
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- 1.26 Repeat Problem 1.25 but assume that the surface of the storage vessel has an absorbance (equal to the emittance) of 0.1. Then determine the rate of evaporation of the liquid oxygen in kilograms per second and pounds per hour, assuming that convection can be neglected. The heat of vaporization of oxygen at –183°C is .A tungsten filament is heated to 2700 K. At what wavelength is the maximum amount of radiation emitted? What fraction of the total energy is in the visible range (0.4to0.75m)? Assume that the filament radiates as a graybody.11.31 A large slab of steel 0.1 m thick contains a 0.1 -m-di- ameter circular hole whose axis is normal to the surface. Considering the sides of the hole to be black, specify the rate of radiative heat loss from the hole. The plate is at 811 K, and the surroundings are at 300 K.
- 11.68 Two infinitely large, black, plane surfaces are 0.3 m apart, and the space between them is filled by an isothermal gas mixture at 811 K and atmospheric pressure. The gas mixture consists of by volume. If one of the surfaces is maintained at 278 K and the other at 1390 K, calculate (a) the effective emissivity of the gas at its temperature, (b) the effective absorptivity of the gas to radiation from the 1390 K surface, (c) the effective absorptivity of the gas to radiation from the 278 K surface, and (d) the net rate of heat transfer to the gas per square meter of surface area.7. The emissive power of a blackbody, at 0.8 µm wavelength is measured as 1E5 W/m², µm. Find the blackbody temperature. [Ans. 1739 K]A typical car's exterior consists of a thin layer of silica (SiO2) over an opaque painted metal panel. Silica is transparent in the visible wavelengths but offers high reflectance in the near- to mid- infrared wavelengths. The plot on the next page depicts the diffuse spectral reflectivity (pa) of the car's surface: Spectral reflectivity, P₂ 0.8 0.6 0.4 ལ 0.2 0 0.1 1 1 10 Wavelength, λ(μm) 100 If the car's exterior temperature is T₁ = 77°C, determine both the total absorptivity (a) and the total emissivity (a) of the silica-covered panel. Assume that the Sun's temperature is Tsun = 5800 K.
- The following figure was generated from experimental data relating to spectral black body emissive powen to the wavelength at three termperatures T1 T2 and T3 Ti > 12 > T3). E(W/m².um) 2(um The conclusion is that the measurements are: a Correct because the maxima in Ena show the correct trend Oa Correct because Planck's law is satisfied CC Wrong because the Stefan Boltzmann law is not satisfied O d. Wrong because Wien's displacement law is not satisfiedWien's law is stated as follows: AmT = C, where C is 2898 μmK and Am is the wavelength at which the emissive power of a black body is maximum for a given temperature T. The spectral hemispherical emissivity (Ex) of a surface is shown in the figure below (1Å= 10-¹0m). The temperature at which the total hemispherical emissivity will be highest is K (round off to the nearest integer). Ext n 5000 6000 7000 (A)Eat И 5000 6000 7000 2(A)
- Spectral hemispherical reflectivity distribution of an opaque surface is shown below. Surface is subjected to the spectral iradiation as shown. 1.0 400 a 0.4 200 10 15 0. 5 10 15 20 2 (um) 2 (um) Calculate the total irradiation on the surface in W/m2 Calculate the irradiation absorbed by the surface in W/m2 5750 6250 7500 3750 4250 5000 3250 1850 2000 1750 1600 1200 1400Spectral hemispherical reflectivity distribution of an opaque surface is shown below. Surface is subjected to the spectral irradiation as shown. 1.0 400 a 0.4 200 5 10 15 20 a (um) 5 10 15 2 (um) Calculate the total irradiation on the surface in W/m2 Calculate the irradiation absorbed by the surface in W/m2 3250 || 3750 || 4250|| 5000 || 5750|| 6250|| 7500 1050 || 1200 1400|| 1600|| 1750| 1850 || 20001) The spectral, hemispherical absorptivity of an opaque surface and the spectral irradiation at the surface are as shown. d' 1.0 G₂ (W/m².um) 500 0.2 0 0 0 2 4 6 8 10 12 14 16 0 2 4 6 8 10 12 14 16 λ(μm) λ(μm) a) How does the spectral, hemispherical reflectivity vary with wavelength? b) What is the total, hemispherical absorptivity of the surface? c) If the surface is initially at 500 K and has a total, hemispherical emissivity of 0.8, how will its temperature change upon exposure to the irradiation?