“Volume-point” heat conduction constructal optimization with nonuniformly distributed high conductivity material

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations

Boundary Element Analysis of Nonlinear Heat Conduction Problem with Point, Line and Distributed Heat Sources Employing Analytical integrations

Identifiability of Piecewise Constant Conductivity in a Heat Conduction Process

We study the identification and identifiability problems for heat conduction in a nonhomogeneous rod. The identifiability results are established for two different sets of observations. Given a sequence of distributed type observations, the identifiability is proved for conductivities in a piecewise smooth class of functions. In the case of observations taken at finitely many points the identif...

A Nonlinear Optimization Problem in Heat Conduction

In this paper we study the existence and geometric properties of an optimal configuration to a nonlinear optimization problem in heat conduction. The quantity to be minimized is R ∂D Γ(x, uμ)dσ, where D is a fixed domain. A nonconstant temperature distribution is prescribed on ∂D and a volume constraint on the set where the temperature is positive is imposed. Among other regularity properties o...

ZnGeSb2: a promising thermoelectric material with tunable ultra-high conductivity.

First principles calculations predict the promising thermoelectric material ZnGeSb2 with a huge power factor (S2σ/τ) on the order of 3 × 1017 W m-1 K-2 s-1, due to the ultra-high electrical conductivity scaled by a relaxation time of around 8.5 × 1025 Ω-1 m-1 s-1, observed in its massive Dirac state. The observed electrical conductivity is higher than the well-established Dirac materials, and i...