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VISHWAKARMA GOVERNMENT ENGINEERING COLLEGE
NAME : MORI NIKUNJ J. ENROLLMENT NO. : BRANCH : MECHANICAL SUBJECT : HEAT TRANSFER
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BLACKBODY AND GRAYBODY RADIATION
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What happens to this radiation?
What is a black-body? An object that absorbs all incident radiation, i.e. no reflection A small hole cut into a cavity is the most popular and realistic example. None of the incident radiation escapes What happens to this radiation? The radiation is absorbed in the walls of the cavity This causes a heating of the cavity walls Atoms in the walls of the cavity will vibrate at frequencies characteristic of the temperature of the walls These atoms then re-radiate the energy at this new characteristic frequency
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The emitted "thermal" radiation characterizes the equilibrium temperature of the black-body
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Black-body spectrum
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Black-body spectrum Black-bodies do not "reflect" any incident radiation They may re-radiate, but the emission characterizes the black-body only The emission from a black-body depends only on its temperature We (at 300 K) radiate in the infrared Objects at K start to glow At high T, objects may become white hot Found empirically by Joseph Stefan (1879); later calculated by Boltzmann s = × 10-8 W.m-2.K-4. A black-body reaches thermal equilibrium when the incident radiation power is balanced by the power re-radiated, i.e. if you expose a black-body to radiation, its temperature rises until the incident and radiated powers balance. Stefan-Boltzmann Law Power per unit area radiated by black-body R = s T 4 Wien's displacement Law lm T = constant = × 10-3 m.K, or lm T-1
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Gray body A gray body is define as a body whose absorptivuty of a surface does not very with variation in temperature and wavelength of the incident radiation.
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White body If all incident radiation fall on the body are reflected is called a white body.
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