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A mathematical formulation of the inverse heat conduction problem is presented as well.
Different techniques for the solution of inverse heat conduction problem (IHCP) can be found in literature.
The parameter estimation is performed by solving an inverse heat conduction problem.
The effective thermal diffusivity, αe, was determined by solving the inverse transient heat conduction problem.
Based on the fuzzy decomposition theorem, the fuzzy solutions to the original uncertain heat conduction problem are eventually derived.
In this study, we investigate a one-dimensional inverse heat conduction problem with unknown nonlinear boundary conditions.
In this paper we present a numerical approach of topology optimization under multiple load cases for heat conduction problem.
Numerical examples demonstrate that our proposed approach is effective and robust for topology optimization of heat conduction problem.
Finally, these findings were used to optimize a practical transient heat conduction problem for a solid thermal energy storage unit.
The Poisson method and layer wise (LW) approach are applied to solve the three-dimensional steady heat conduction problem.
The unknown functions are obtained by solving an inverse heat conduction problem with the Reciprocity Functional approach.
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