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An inverse process model for industrial cooling sections

The required cooling section parameters for a specific cooling task are calculated. The data is calculated for v_In = 1 m/s, i.e. vor higher speeds, the cooling section length has to be multiplied by the true value of v_In.

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Please select your parameters:

Property	Unit		Comment
Material		low alloy steel (iron) stainless steel aluminium nickel copper	Additional Materials are available on request
Sheet thickness	mm	1   2   3   4   5   6   8   10   12   15   20   30   40   50   60   80   100	divide by 2 for single sided cooling
Starting temperature	°C	1100 1000  900  800  700  600  500	Tin
End temperature	°C	1100 900 800 700 600  500  400  300  200	Tout
Cooling rate (centre)	K/s	1  2  4 10 20 50 100	Please consider physical limits

Remarks:

This published model uses an optimizer to determine the water impact density required for a the selected cooling rate in the centre of the sheet. For a specific sheet material and thickness there is a physical limitsfor this centre line cooling rate. This online version is currently not considering this limitation and thus you can start computations which can not converge!

Example of the Results:

20 mm Fe cooled from T=900 to 500 deg C with 10 K/s (both sides):

The application of the position dependent water impact density V_s(x) calculated by the inverse process model gives the following optimum temperature control:

Modelling assumptions: λ = const., c_p = const., ρ = const.
(temperature dependent material properties available on demand)

© Dr. J. Wendelstorf  · Imprint