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Table 1 Default parameters of the 3d ladle stirring model from [9]. The value for Q is used as maximal value in the numerical studies presented here

From: Optimal control of buoyancy-driven liquid steel stirring modeled with single-phase Navier–Stokes equations

notation

H

\(R_{\mathrm{top}}\)

\(R_{\mathrm{bot}}\)

Q

a

\(U_{S} \)

unit

m

m

m

\({\mathrm{l}.\mathrm{min}^{-1}}\ ({\mathrm{m}^{3}.\mathrm{s}^{-1}})\)

m

\({\mathrm{m}.\mathrm{s}^{-1}}\)

value

0.65

0.29

0.27

17 (2.8310−4)

0.08

0.4

notation

χ

\(x_{n1}\)

\(y_{n1}\)

\(\theta _{1}\)

\(x_{n2}\)

\(y_{n2}\)

\(\theta _{2}\)

unit

°

m

m

°

m

m

°

value

10

−0.105

−0.105

135

−0.105

0.105

225