DocumentCode
2970543
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
fYear
1988
fDate
7-9 Dec 1988
Firstpage
245
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location
Austin, TX
Type
conf
DOI
10.1109/CDC.1988.194303
Filename
194303
Link To Document