Abstract
The transient thermal conductivity and transient heat capacity of laminated materials are defined to characterize time-varying properties of heat conduction. The transient thermal properties are related to two kinds of time lags defined by dual boundary value problems of unsteady heat conduction. These properties may depend on the sequence of the laminae. For laminated materials constituted of two components, it is shown that the optimal laminate that maximizes or minimizes the transient thermal properties reduces to a symmetric triple laminate structure. The optimal triple laminate structure gives the maximal or minimal value of the time lag under the constraint that the overall thermal properties are constant. These results can be applied to the equivalent problem of permeation through laminated membranes.
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