Author(s)

K. Beattie & D. Tang

Abstract

An analytic solution for the temperature distribution within a two dimensional corner with boundary condition of the third-kind is obtained using the Schwarz's alternating method. Comparisons of the analytic prediction to numerical method are demonstrated. An in-depth parametric study derives the novel concepts of the 'significant length' and 'coefficient of equivalence' that enables the calculation of heat loss for the two dimensional corner in engineering design. Working examples are presented for a typical case of multi-layered corner wall. 1 Introduction Solution for heat transfer of walls concerns the classical boundary value problem of the transient, i.e. Fourier equation, or steady-state, i.e. Laplace equation. Typical analytic solutions are available for problems of regular

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