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Optimal control of film casting processes
Karthik Selvanayagam, ,
Published in
2009
Volume: 59
   
Issue: 10
Pages: 1111 - 1124
Abstract
We present an optimal control approach for the isothermal film casting process with free surfaces described by averaged Navier-Stokes equations. We control the thickness of the film at the take-up point using the shape of the nozzle and the initial thickness. The control goal consists in finding an even thickness profile. To achieve this goal, we minimize an appropriate cost functional. The resulting minimization problem is solved numerically by a steepest descent method. The gradient of the cost functional is approximated using the adjoint variables of the problem with fixed film width. Numerical simulations show the applicability of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.
About the journal
JournalInternational Journal for Numerical Methods in Fluids
ISSN02712091
Open AccessYes
Concepts (13)
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    Adjoint system
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    EDGE-BEAD DEFECT
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    FILM CASTING PROCESS
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    FIRST-ORDER OPTIMALITY SYSTEM
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    Numerical simulation
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    Optimal control
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    Computer simulation
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    Crystallography
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    Mathematical models
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    Navier stokes equations
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    Optimal control systems
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    Optimization
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    Process control