Assuming the disks to be blackbodies, calculate thenet

Chapter 13, Problem 13.32

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Assuming the disks to be blackbodies, calculate thenet radiative heat exchange between them.13.32A radiometer views a small target (1) that is beingheated by a ring-shaped disk heater (2). The target has an area of A1?0.0004 m2, a temperature of T1?500 K, and a diffuse, gray emissivity of ?1?0.8. Theheater operates at T2?1000 K and has a black sur-face. The radiometer views the entire sample area witha solid angle of ??0.0008 sr.(a) Write an expression for the radiant power leavingthe target which is collected by the radiometer, interms of the target radiosity J1and relevant geo-metric parameters. Leave in symbolic form.(b) Write an expression for the target radiosity J1interms of its irradiation, emissive power, andappropriate radiative properties. Leave in sym-bolic form.(c) Write an expression for the irradiation on the tar-get, G1, due to emission from the heater in termsof the heater emissive power, the heater area, andan appropriate view factor. Use this expression tonumerically evaluate G1.(d) Use the foregoing expressions and results todetermine the radiant power collected by theradiometer.