Abstract
The restoration of boundary conditions in one-dimensional transient inverse heat-conduction problems (IHCP) is described. In the formulation, the boundary conditions are represented by linear relations between the temperature and the heat flux, together with an initial condition as a function of space. The temperature inside the solution domain, together with the space or time-dependent ambient temperature of the environment surrounding the heat conductor, are found from additional boundary-temperature or average boundary-temperature measurements. Numerical results obtained using the boundary-element method are presented and discussed.
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Onyango, T.T.M., Ingham, D.B. & Lesnic, D. Restoring boundary conditions in heat conduction. J Eng Math 62, 85–101 (2008). https://doi.org/10.1007/s10665-007-9192-0
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DOI: https://doi.org/10.1007/s10665-007-9192-0