Consider the cavities formed by a cone, cylinder,

Chapter 13, Problem 13.47

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Consider the cavities formed by a cone, cylinder, andsphere having the same opening size (d) and majordimension (L), as shown in the diagram.(a) Find the view factor between the inner surface ofeach cavity and the opening of the cavity.(b) Find the effective emissivity of each cavity, ?e, as defined in 13.43, assuming the inner walls are diffuse and gray with an emissivity of ?w.(c) For each cavity and wall emissivities of ?w?0.5,0.7, and 0.9, plot ?eas a function of the majordimension- to-opening size ratio, L/d, over a rangefrom 1 to 10.

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