Nonlinear thermal parameter estimation for embedded internal Joule heaters
Abstract(#br)We propose a novel inverse scheme, which allows for estimation of thermal parameters of internal Joule heaters through measurements of surface temperature distributions during a Joule heating process. The inverse scheme is based on the governing nonlinear, inhomogeneous heat conduction and generation equation and solely assumes knowledge of the electric resistivity of the Joule heater. Polynomial forms are assumed for the thermal conductivity κ = κ ( T ) and c p ρ = : λ = λ ( T ) , while the method can be easily generalized to estimate parameters of any suitable form.