Solved: A row of regularly spaced, cylindrical heating

Chapter 13, Problem 13.107

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A row of regularly spaced, cylindrical heating ele-ments (1) is used to cure a surface coating that isapplied to a large panel (2) positioned below the ele-ments. A second large panel (3), whose top surface iswell insulated, is positioned above the elements. Theelements are black and maintained at T1?600 K,while the panel has an emissivity of ?2?0.5 and ismaintained at T2?400 K. The cavity is filled with anonparticipating gas and convection heat transferoccurs at surfaces 1 and 2, with and . (Convection at the insulatedpanel may be neglected.) a) Evaluate the mean gas temperature, Tm.(b) What is the rate per unit axial length at whichelectrical energy must be supplied to each ele- ment to maintain its prescribed temperature?(c) What is the rate of heat transfer to a portion ofthe coated panel that is 1 m wide by 1 m long?

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