Abstract
An analytical solution of one dimensional unsteady heat conduction applicable to heat transfer through structural elements forms the basis of a mathematical model to describe transient response while absorbed heat flux is constant. This is useful for determination of starting transients or time delays in heat transfer. It also enables simple calculation of thermal time constant as a first step to predict frequency response before proceeding to analysis in the frequency domain. Solar absorption and simultaneous forced convection at exterior building surfaces together with the linked conduction through homogeneous wall etc., plus convection at inside surfaces contributes to an overall heat balance for heat gains and losses. Calculations show the extent to which a house wall is a governing thermal resistance. Analytical work is finally presented in normalized graphical form to illustrate transient temperature profiles across homogeneous structural elements and the related transient heat flux at inside surfaces.
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