assignment 4

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ASSIGNMENT 4 BMM3513_1415/2 FACULTY OF MECHANICAL ENGINEERING BMM3513 HEAT TRANSFER Assignment 4 (CO4) NAME MATRIC NO. 1. Why did we define the blackbody radiation function? What does it represent? For what is it used? 2. Define the total and spectral blackbody emissive powers. How are they related to each other? How do they differ? 3. Consider two identical bodies, one at 1000 K and the other at 1500 K. Which body emits more radiation in the shorter-wavelength region? Which body emits more radiation at a wavelength of 20μm? 4. The temperature of the filament of an incandescent lightbulb is 3200 K. Treating the filament as a blackbody, determine the fraction of the radiant energy emitted by the filament that falls in the visible range. Also, determine the wavelength at which the emission of radiation from the filament peaks. 5. Consider a 20-cm X 20-cm X 20-cm cubical body at 1000 K suspended in the air. Assuming the body closely approximates a blackbody, determine (a) the rate at which the cube emits radiation energy, in W, and (b) the spectral blackbody emissive power at a wavelength of 4 μm. 6. Daylight and candlelight may be approximated as a blackbody at the effective surface temperatures of 5800 K and 1800 K, respectively. Determine the radiation energy (in W/m 2 ) emitted by both lighting sources (daylight and candlelight) within the visible light region (0.4 to 0.76 μm) 7. A small surface area A 1 = 3 cm 2 emits radiation as a blackbody with total emissive power of E b = 5.67 X 10 4 W/m 2 . Part of the radiation emitted by A 1 strikes another small surface of area A 2 = 8 cm 2 oriented as shown in Figure 7. Determine the rate at which radiation emitted by A 1 strikes A 2 , and the irradiation on A 2 . Figure 7 8. A small surface area of A 1 = 3 cm 2 emits radiation as a blackbody and part of the radiation emitted by A 1 strikes another small surface area A 2 = 8 cm 2 oriented as shown in Figure 7. If the rate at which radiation emitted by A 1 that strikes A 2 is measured to be 274 X 10 -6 W, determine the intensity of the radiation emitted by A 1 and the temperature of A 1 . /100 UMP

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  • ASSIGNMENT 4 BMM3513_1415/2

    FACULTY OF MECHANICAL ENGINEERING

    BMM3513 HEAT TRANSFER

    Assignment 4 (CO4)

    NAME MATRIC NO.

    1. Why did we define the blackbody radiation function? What does it represent? For what is it used?

    2. Define the total and spectral blackbody emissive powers. How are they related to each other? How do

    they differ?

    3. Consider two identical bodies, one at 1000 K and the other at 1500 K. Which body emits more

    radiation in the shorter-wavelength region? Which body emits more radiation at a wavelength of

    20m?

    4. The temperature of the filament of an incandescent lightbulb is 3200 K. Treating the filament as a

    blackbody, determine the fraction of the radiant energy emitted by the filament that falls in the visible

    range. Also, determine the wavelength at which the emission of radiation from the filament peaks.

    5. Consider a 20-cm X 20-cm X 20-cm cubical body at 1000 K suspended in the air. Assuming the body

    closely approximates a blackbody, determine (a) the rate at which the cube emits radiation energy, in

    W, and (b) the spectral blackbody emissive power at a wavelength of 4 m.

    6. Daylight and candlelight may be approximated as a blackbody at the effective surface temperatures of

    5800 K and 1800 K, respectively. Determine the radiation energy (in W/m2) emitted by both lighting

    sources (daylight and candlelight) within the visible light region (0.4 to 0.76 m)

    7. A small surface area A1 = 3 cm2 emits radiation as a blackbody with total emissive power of Eb= 5.67

    X 104 W/m

    2. Part of the radiation emitted by A1 strikes another small surface of area A2 = 8 cm

    2

    oriented as shown in Figure 7. Determine the rate at which radiation emitted by A1 strikes A2, and the

    irradiation on A2.

    Figure 7

    8. A small surface area of A1 = 3 cm2 emits radiation as a blackbody and part of the radiation emitted by

    A1 strikes another small surface area A2 = 8 cm2 oriented as shown in Figure 7. If the rate at which

    radiation emitted by A1 that strikes A2 is measured to be 274 X 10-6

    W, determine the intensity of the

    radiation emitted by A1 and the temperature of A1.

    /100 UMP