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International Heat Transfer Conference 10

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

AN INVERSE HEAT CONDUCTION PROBLEM OF UNKNOWN INITIAL CONDITION

Antonio J. Silva Neto
Department of Mechanical and Aerospace Engineering North Carolina State University Raleigh, NC 27695-7910, USA; Polytechnique Institute, State University of Rio de Janeiro, Brazil

M. N. Ozisik
Mechanical and Aerospace Engineering Department North Carolina State University, Raleigh, N. C. 27607

DOI: 10.1615/IHTC10.870
pages 421-426

Abstract

An inverse solution technique utilizing the conjugate gradient method of minimization and the adjoint equation is used to estimate the initial condition for a one-dimensional heat conduction problem in a plate, with no prior information for the functional form of the spatial variation of the initial condition. Simulated experimental data is generated by adding random errors to the calculated exact temperatures at the sensors locations. Two different types of experiments considered included: (i) the sensors are located at the boundaries and temperature measurements are taken at different times, and (ii) The sensors are placed at different locations in the medium and temperature at each sensor is measured at a specified time.

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