TY - GEN
T1 - Some basic analytical and numerical solutions to inverse problems in gas quenching
AU - Vynnycky, Michael
AU - Ferrari, Jérôme
AU - Lior, Noam
PY - 2001
Y1 - 2001
N2 - An idealized inverse problem in the gas quenching of steel plates and rings is considered, both analytically and numerically. The governing non-linear heat equation is nondimensionalised, and a small parameter, the reciprocal of the Fourier number, is identified. This allows the construction of an analytic solution in the form of an asymptotic series. For higher values of the reciprocal Fourier number, a numerical scheme incorporating the function specification and Keller Box methods is used to generate solutions. Comparison of the results proves favorable, and suggests that for this inverse problem asymptotic methods provide an attractive alternative to solely numerical ones.
AB - An idealized inverse problem in the gas quenching of steel plates and rings is considered, both analytically and numerically. The governing non-linear heat equation is nondimensionalised, and a small parameter, the reciprocal of the Fourier number, is identified. This allows the construction of an analytic solution in the form of an asymptotic series. For higher values of the reciprocal Fourier number, a numerical scheme incorporating the function specification and Keller Box methods is used to generate solutions. Comparison of the results proves favorable, and suggests that for this inverse problem asymptotic methods provide an attractive alternative to solely numerical ones.
UR - http://www.scopus.com/inward/record.url?scp=0346955671&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0346955671
SN - 0791835332
T3 - Proceedings of the National Heat Transfer Conference
SP - 511
EP - 521
BT - Proceedings of the 2001 National Heat Transfer Conference Volume 1
T2 - 2001 National Heat Transfer Conference (NHTC2001)
Y2 - 10 June 2001 through 12 June 2001
ER -