Method for cooling a hot-rolled material and corresponding...

Metal treatment – Process of modifying or maintaining internal physical... – Utilizing disclosed mathematical formula or relationship

Reexamination Certificate

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C148S511000, C148S661000

Reexamination Certificate

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06860950

ABSTRACT:
To determine the temperature profile (Tm(t)) of a hot-rolled material (1) in a cooling line (5), a heat conduction equation which takes the following form∂e∂t-div⁡[λ⁡(e,p)ρ·grad⁢ ⁢T⁡(e,p)]=0where e is the enthalpy, λ the thermal conductivity, p the degree of phase transformation, ρ the density and T the temperature of the rolled material at the rolled-material location and t is the time, is solved in a cooling-line model (4).

REFERENCES:
patent: 19740691 (1999-03-01), None
patent: 0453566 (1991-10-01), None
patent: 0997203 (2000-05-01), None
patent: 9913999 (1999-03-01), None
International Investigation Report, PCT/DE02/02077, Mailed Oct. 25, 2002.
Auzinger et al., “Neues Prozessoptimierungs-und-steuerungssystem fur eine Laminarkuhlstrecke”, Stahl und Eisen, pp. 115-120, 163, Nov. 11, 1996.
Visintin, A., “Mathematical Models of Solid-Solid Phase Transitions in Steel”, IMA Journal of Applied Mathematics, pp. 143-157, 1987.

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