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 -