Fredholm-Type Boundary Integral Expression of Forced Convection Heat Transfer and Its Application to Convection-Conduction Conjugated Heat Transfer Problem

We propose a Fredholm-type boundary integral expression of the forced convection heat transfer coefficient from an object. When the Fredholm's kernel function is obtained by a numerical simulation of the forced convection field, it is possible to predict the local heat transfer coefficient from the object with arbitrary surface temperature distributions. Moreover, this expression can be easily applied to the boundary element method(BEM)as a boundary condition of fourth kind, and then the convection-conduction conjugated heat transfer problem can be formulated as a heat conduction problem. Some examples demonstrate the usefulness of the proposed expression.