Design of a diamond-shaped thermal concentrator with homogeneous materials

We present a diamond-shaped thermal concentrator which can compress heat fluxes along predefined directions, thus yielding a heating region with high temperature gradients. Numerical simulations show that perfect thermal concentrating effect can be achieved for multi-directional heat flux. The coordinate transformation results in concentrator materials whose constitutive parameters are inhomogeneous and singular. Therefore, we establish thin-layered systems with alternating isotropic materials to model the parameters of such concentrators. Finite elements simulations are carried out, demonstrating the good performance of the layered thermal concentrator. The work in this paper offers more design flexibility of achieving thermal concentration according to practical requirements.