## Case studies in industrial mathematics |

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### Contents

Computing Eddy Current Losses in Reactor Coils | 1 |

Calculation of the Hydrodynamic Coefficients for Bodies | 21 |

Control of the Solidification Front by Secondary Cooling | 51 |

Copyright | |

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algorithm approximation boundary conditions boundary integral equation boundary value problem bulk temperature calculation casting machine casting speed component computation conductor constant constraints continuity equation convergence cooling zone denotes depends described determined differential equations discretization distillation column eddy current efficiency function enthalpy evaluation finite element flow rate flue gas furnace given Gosauschmied heat equation heat transfer Helmholtz equation hydro energy hydrodynamic coefficients ill-posed ill-posed problems industry influx initial values integral equation integral equation method inverse problem iterative Jacobian Lake Gosau linear system Linz liquid main column mathematical model matrix mol/h Newton's method nonlinear optimization problem parameters Partenstein Phase production Project pump pumparound reheating reservoir resp restrictions rigid body seepage losses side stripper slabs solidification front solution solved spray cooling steel Stefan problem stepsize storage plant storage power plants streams Subproblem 3.1 tariff technique Tikhonov regularization turbine vapor VOEST-ALPINE volute Wacker