Hybrid Methods in Engineering Modeling, Programming, Analysis, Animation

ISSN for PRINT: 1099-2391

For Online Access

Best Paper Award Selection - Editorial Board Site

1999, Volume1

Issue 3

128 pages

Issue price - $125.00

Woo-Seung Kim
Department of Mechanical Engineering, Hanyang University, 1271 Sa-1 dong, Sangnok-gu, Ansan, Kyeonggi-do, 425-791, Korea

M. N. Ozisik
Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina, 27695-7910, USA

Eui-Rak Choi
Department of Mechanical Engineering, Hanyang University, Seoul 133-791, Korea

A two-dimensional transient inverse heat conduction problem involving the estimation of the unknown location, (X*, Y), and timewise varying unknown strength, G(τ), of a line heat source embedded inside a rectangular bar with insulated boundaries has been solved simultaneously. The regular conjugate gradient method (RCGM) and the modified conjugate gradient method (MCGM), with adjoint equation, are used alternately to estimate the unknown strength G(τ) of the source term, while the parameter estimation approach is used to estimate the unknown location (X*, Y*) of the line heat source. The alternate use of the regular and the modified conjugate gradient methods alleviates the convergence difficulties encountered at the initial and final times (i.e., τ = 0 and τ = τ_f) and hence stabilizes the computation and fastens the convergence of the solution. In order to examine the effectiveness of this approach under severe test conditions, the unknown strength G(τ) is chosen in the form of rectangular, triangular, and sinusoidal functions.

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