Consider a two-color pyrometer such as in Problem 12.89 that operates at 1 = 0.65 m

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Consider a two-color pyrometer such as in Problem 12.89 that operates at λ= 0.65 μm and λ2 = 0.63 λm. Using Wien’s law (see Problem 12.27) determine the temperature of a sheet of stainless steel if the ratio of radiation detected is Iλ1/Iλ2 = 2.15.


Data From Problem 12.89

A two-color pyrometer is a device that is used to measure  the temperature of a diffuse surface, Ts. The device  measures the spectral, directional intensity emitted by  he surface at two distinct wavelengths separated by Δλ.  Calculate and plot the ratio of the intensities  Iλ + Δλ,e (λ+ Δλ, θ, ϕ, Ts) and Iλ,e (λ,θ, ϕ, Ts) as a function  of the surface temperature over the range 500 K ≤ Ts ≤ 1000 K for λ = 5 μm and Δλ = 0.1, 0.5,  and 1 μm. Comment on the sensitivity to temperature  and on whether the ratio depends on the emissivity of  the surface. Discuss the tradeoffs associated with specification  of the various values of Δλ.

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Fundamentals Of Heat And Mass Transfer

ISBN: 9780470501979

7th Edition

Authors: Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera, David P. DeWitt

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