Premium
Optimal control of film casting processes
Author(s) -
Selvanayagam K.,
Götz Thomas,
Sundar S.,
Vetrivel V.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1860
Subject(s) - optimal control , nozzle , minification , isothermal process , casting , gradient descent , computational fluid dynamics , point (geometry) , mathematical optimization , process (computing) , mathematics , computer science , mechanics , control theory (sociology) , control (management) , materials science , mechanical engineering , physics , geometry , engineering , thermodynamics , machine learning , artificial neural network , operating system , artificial intelligence , composite material
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.