Title :
Identifiability of the nonlinearity in a quasilinear parabolic system [heat conduction]
Author :
Kravaris, Costas
Author_Institution :
Dept. of Chem. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
One-dimensional unsteady-state heat conduction is governed by a second-order quasilinear parabolic equation. The nonlinearity arises from the temperature dependence of the thermal conductivity and/or specific heat. The author shows that measurement of temperature and heat flux at only one boundary point can uniquely determine the thermal conductivity as a function of temperature when the specific heat is known or the specific heat as a function of temperature when the thermal conductivity is known
Keywords :
heat conduction; partial differential equations; temperature measurement; thermal conductivity; nonlinearity; one-dimensional unsteady-state heat conduction; partial differential equations; quasilinear parabolic system; second-order quasilinear parabolic equation; specific heat; temperature measurement; thermal conductivity; Boundary conditions; Chemical engineering; Conducting materials; Conductivity measurement; Heat engines; Heating; Nonlinear equations; Steady-state; Temperature measurement; Thermal conductivity;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194303
