Transient Conduction under Cosine Temperature Perturbations

摘要

An analytical solution is presented for the transient, non-periodic, one-dimensional, non-homogeneous boundary-value problem of wall heat conduction, taking into account temporary deviations of the outdoor air temperature from its repeated daily cycle. The usual assumption of periodic outdoor conditions is not made here, thus avoiding considerable errors in the case of unforeseen perturbations in outdoor conditions.