Heat transfer analysis of mutually irradiating fins

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.