Extended from its electromagnetic counterpart, transformation thermodynamics
applied to thermal conduction equations can map a virtual geometry into a
physical thermal medium, realizing the manipulation of heat flux with almost
arbitrarily desired diffusion paths, which provides unprecedented opportunities
to create thermal devices unconceivable or deemed impossible before. In this
work we employ this technique to design an efficient plate heater that can
transiently achieve a large surface of uniform temperature powered by a small
thermal source. As opposed to the traditional approach of relying on the
deployment of a resistor network, our approach fully takes advantage of an
advanced functional material system to guide the heat flux to achieve the
desired temperature heating profile. A different set of material parameters for
the transformed device has been developed, offering the parametric freedom for
practical applications. As a proof of concept, the proposed devices are
implemented with engineered thermal materials and show desired heating
behaviors consistent with numerical simulations. Unique applications for these
devices can be envisioned where stringent temperature uniformity and a compact
heat source are both demanded.Comment: 14 pages, 5 figure