Abstract
We explore the cloaking of a complex shape by either the neutral inclusion or the transformation thermodynamics (TT) methods. Thin cloaks are built and the heat cloaking efficiency is investigated for both the steady-state and the transient regimes. We show that the neutral inclusion cloak is more efficient in both regimes, though it has the drawback that the thermal conductivity of the cloaked shape must be known. In practice, the neutral inclusion method is more flexible and easier to implement than the coordinate transformation method, especially for complex shapes.
Highlights
In this paper we implement both methods in the case of a complex shape and evaluate cloaking in both the static and the dynamic regimes
We demonstrate how efficient the neutral inclusion (NI) approach can be, even in the dynamic regime and especially for thin cloaks, when compared to transformation thermodynamics
There exist some perturbations in the external temperature field in the TT cloak case (Fig. 2(c)), indicating that thermal cloaking achieved by transformation thermodynamics approach is not perfect
Summary
In this paper we implement both methods in the case of a complex shape and evaluate cloaking in both the static and the dynamic regimes. Much work was done since on both methods, but without a quantitative difference analysis in the case of complex shapes.25–31 the TT approach can in principle always be applied whereas the neutral inclusion is only possible for a set of geometries.32,33 It further requires knowledge of the conductivity to be cloaked. We demonstrate how efficient the NI approach can be, even in the dynamic regime and especially for thin cloaks, when compared to transformation thermodynamics.
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