c312798c-2d9d-4abd-939f-152140f1cd1c 14 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

STEEL HEATING

Source Data

b 860 W * s 0.5^m 2^K * / * :

SF 124.492 1 m / * :

q 224 MJ m 2^/ * :

O 0.03 m 0.5^* :

SF.mod 1.448 103^* kg m s 3^* K * / * :

t.max 7.8 109 -^* q O / * min m 0.5^Pa * / * : min 58.24

ρ.s 7850 kg m 3^/ * :

c.ps 680 J kg K * / * :

Γ O b / (2^0.04 1160 / (2^/ kg 2^m s 5^* K 2^* / * : 1.0234

t T.g 203458 Γ * t * 1 min * + min / log10 1 0.04 t t.max / (3.5^* + / * (+ (K * 273.15 K * + :

10 min * T.g °C 681.7939

Δt 1 min * :

Discretize

tk 0400 Δt * (Δt range :

k 1 T length range :

Ts 20 °C * 11 mat :

k 2 tk length range Ts k el Ts k 1 - el 11 ρ.s c.ps * / (SF.mod * (Δt * - (* 1 ρ.s c.ps * / (SF.mod * (tk k el T.g tk k el Δt - T.g + 2 / (* Δt * + eval : for

Interpolate

t T.s K tk tk UnitsOf / vectorize Ts Ts UnitsOf / vectorize t t UnitsOf / cinterp * 11 line :

Now you can plot and evaluate T.s as funcion

300 min * T.s °C 226.7978

plot x min * T.g °C / tk min / Ts °C / augment 21 sys :

plot