Thermal Physics · Problem 19

Thermal Radiation and Planck Distribution — Charles Kittel & Herbert Kroemer

Physics — Statistical Mechanics · reflective-heat-shield-and-kirchhoffs-law

Problem

Reflective heat shield and Kirchhoff's law. Consider a plane sheet of material of absorptivity aa, emissivity ee, and reflectivity r=1−ar = 1 - a. Let the sheet be suspended between and parallel with two black sheets maintained at temperatures τu\tau_u and τl\tau_l. Show that the net flux density of thermal radiation between the black sheets is (1−r)(1-r) times the flux density when the intermediate sheet is also black as in Problem 8, which means with a=e=1a = e = 1; r=0r = 0. Liquid helium dewars are often insulated by many, perhaps 100, layers of an aluminized Mylar film called Superinsulation.

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