Real-time simulation of temperature in hot rolling rolls

Abstract Model-based process control is widely used in metal working. Often, simplified real-time capable numerical models replace or support measurement. In this work, we investigate the simulation of temperature in hot rolling rolls based on a 3-D model of a roll which is fast enough to act as soft sensor during operation. The involved discretization of the heat equation in cylindrical space is done via simple finite volumes and propagation in time is done via a forward Euler method. This allows a parallel and efficient implementation for GPGPUs. We validate our code against analytic solutions and measurements, provide a detailed performance analysis, and show simulation results for realistic rolls.

[1]  Gerhard Wellein,et al.  Performance engineering for the Lattice Boltzmann method on GPGPUs: Architectural requirements and performance results , 2011, ArXiv.

[2]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[3]  Nicolas Legrand,et al.  Analysis of Roll Gap Heat Transfers in Hot Steel Strip Rolling through Roll Temperature Sensors and Heat Transfer Models , 2012 .

[4]  Harald Köstler,et al.  Performance engineering to achieve real-time high dynamic range imaging , 2012, Journal of Real-Time Image Processing.

[5]  Majid T. Manzari,et al.  A Finite Element Approach to Transient Thermal Analysis of Work Rolls in Rolling Process , 2000 .

[6]  Ahmad Saboonchi,et al.  Work roll thermal expansion control in hot strip mill , 2008 .

[7]  H. D. Baehr,et al.  Wärme- und Stoffübertragung , 1994 .

[8]  Martin H. Sadd,et al.  Elasticity: Theory, Applications, and Numerics , 2004 .

[9]  Ulrich Rüde,et al.  A flexible Patch-based lattice Boltzmann parallelization approach for heterogeneous GPU-CPU clusters , 2010, Parallel Comput..

[10]  Sebastian Kuckuk,et al.  Interactive particle dynamics using OpenCL and Kinect , 2013, Int. J. Parallel Emergent Distributed Syst..

[11]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[12]  R. LeVeque.  Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .

[13]  Ampere A. Tseng,et al.  Roll cooling and its relationship to roll life , 1989 .

[14]  Michael Schäfer,et al.  Computational Engineering - Introduction to Numerical Methods , 2006 .

[15]  Julian M. Allwood,et al.  Fast model of thermal camber evolution in metal rolling for online use , 1999 .

[16]  Sanjay Chandra,et al.  Mathematical Modelling of Roll Cooling and Roll Surface Stress , 2005 .

[17]  Gyung-Jin Park,et al.  Thermal analysis of the roll in the strip casting process , 2003 .

[18]  S. Serajzadeh,et al.  Modelling Work-Roll Temperature Variations in Hot Strip Rolling , 2004 .

[19]  Hans-Ulrich Löffler.  Microstructure Modeling Using Artificial Neural Networks , 2005 .

[20]  Gyung-Jin Park,et al.  Thermal crown analysis of the roll in the strip casting process , 2009 .