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We present an analytical general solution of the well-known heat conduction problem in a one-dimensional homogeneous slab by using an expansion of the only delayed part of the temperature field function on an infinite eigen functions set. We propose to split the searched solution of the general problem in an instantaneous part and a delayed one which, with whatever boundary conditions combination,...
The modal method is a very powerful way of modeling thermal systems such as buildings. The modal expression offers a pertinent view of the thermal inertia through specific analysis tools. Modal-based simulations are easy, accurate and fast. The modal dominance of some of the eigenelements is the basis of the modal reduction. This reduction does not affect the static characteristics of the model,...
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