Heat transfer analysis of mutually irradiating fins. (English) Zbl 1024.80501

Summary: Apparent emittance of a longitudinal rectangular fin system with an opening angle, accounting fin-to-fin radiation interaction and also with surfaces that reflect radiation in both diffuse and specular regimes has been evaluated. The governing equation of the problem is a complicated integro-differential equation. This equation has been solved with the Gauss-Jacobi orthogonal collocation method, which possesses the quality of exceptional accuracy with a few numbers of nodes. Finally, the minimum mass design of the fin has been arrived at.


80A20 Heat and mass transfer, heat flow (MSC2010)
78A55 Technical applications of optics and electromagnetic theory
78M25 Numerical methods in optics (MSC2010)
65R20 Numerical methods for integral equations
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