Stationary thermal field in a long duct of an electrical heating system

Abstract

The subject of this work is the analysis of a stationary thermal field in a long duct of an electrical floor heating system. Parallel sectors of the heating cable are modelled by heat sources of the emitted power linear density. The resultant thermal field is described by a partial differential equation of the elliptic type with boundary conditions of the second and third kind. The problem is solved by the method of eigenfunctions. The results are reduced to a dimensionless form and numerically processed. The field distributions obtained are presented in graphical form, with the number of sectors of the heating cable in the duct being changed.