A Three-Dimensional Inverse Problem of Estimating the Surface Thermal Behavior of the Working Roll in Rolling Process

[+] Author and Article Information
Pao-Tung Hsu

Mechanical Engineering Department, National Kaohsiung Institute of Science and Technology, Kaohsiung, Taiwan, R.O.C.

Yue-Tzu Yang

Cha’o-Kuang Chen

Mechanical Engineering Department, National Cheng Kung University, Tainan, Taiwan, R.O.C.

J. Manuf. Sci. Eng 122(1), 76-82 (Jul 01, 1998) (7 pages) doi:10.1115/1.538889 History: Received November 01, 1997; Revised July 01, 1998
Copyright © 2000 by ASME
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Cerni, S., 1961, The Temperature and Thermal Stress in Rolling of Metal Strip, Ph.D. thesis, Carnegie-Mellon Univ., Pittsburgh, PA.
Hogshead, T. H., 1967, Temperature Distributions in Rolling of Metal Strip, Ph.D. thesis, Carnegie-Mellon Univ., Pittsburgh, PA.
Haubitzer,  W., 1974, “Steady-State Temperature Distributions in Rolls,” Arch. Eisenhuettenwes., 46, pp. 635–638.
Patula,  E. H., 1981, “Steady-State Temperature Distributions in Rotating Roll Subject to Surface Heat Fluxes and Convection Cooling,” ASME J. Heat Transfer, 103, pp. 36–41.
Park,  D. M., and Baker,  L. L., 1972, “Temperature Effects of Cooling Work Rolls,” Iron Steel Eng., 49, pp. 83–88.
Poplawski,  J. V., and Seccombe,  D. A., 1980, “Bethlehem’s Contribution to the Mathematical Modeling of Cool Roll in Tandem Mills,” Iron Steel Eng., 57, pp. 47–58.
Smith,  R. M., and Hutton,  A. G., 1982, “The Numerical Treatment of Advection: A Performance Comparison of Current Methods,” Numer. Heat Transfer, 5, pp. 439–461.
Tseng,  A. A., 1984, “Finite-Difference Solutions for Heat Transfer in a Roll Rotating at High Speed,” Numer. Heat Transfer, 7, pp. 123–125.
Bryant,  G. F., and Chiu,  T. S. L., 1892, “Simplified Roll-Temperature Model: Spray-Cooling and Stress Effects,” Metals Technol., 9, pp. 478–484.
Bryant,  G. F., and Heselton,  M. O., 1982, “Roll-Gap Temperature Models for Hot Mills,” Metals Technol., 9, pp. 469–477.
Heinrich,  J. C., , 1977, “An Upwind Finite Element Scheme for Two-Dimensional Convection Transport Equation,” Int. J. Numer. Methods Eng., 11, pp. 131–143.
Kariagozis,  A. N., and Lenard,  J. G., 1988, “Temperature Distribution in a Slab During Hot Rolling,” ASME J. Eng. Mater. Technol., 110, pp. 17–21.
Lahoti,  G. D., Shah,  S. N., and Altan,  T., 1978, “Computer-Aided Analysis of the Deformations and Temperatures in Strip Rolling,” ASME J. Eng. Indus. 100, pp. 159–166.
Pietrzyk, M., and Lenard, J. G., 1988, “Experimental Substantiation of Modeling Heat Transfer in Hot Flat Rolling,” in Proc. 25th, Natl. Heat Transfer Conf., 3 , HTD-Vol. 96, H. R. Jacobs, ed., Houston, pp. 47–53.
Pietrzyk, M., Lenard, J. G., and Souse, C. M., 1988, “A Study of Temperature Distribution in Strips During Cold Rolling,” 6th Natl. Congress on Heat Transfer, Bari, pp. 481–494.
Sheppard,  T., and Wright,  D. S., 1980, “Structural and Temperature Variations During Rolling of Aluminum Slabs,” Metals Technol., 7, pp. 274–281.
Silvonen,  A., Malinen,  A., and Korhonen,  A. S., 1987, “A Finite Element Study of Plane Strain Hot Rolling,” Scand. J. Metall., 16, pp. 103–108.
Thompson, E. G., and Berman, H. M., 1984, “Steady-State Analysis of Elasto-Viscoplastic Flow During Rolling,” Numerical Analysis of Forming Processes, Wiley, New York, pp. 269–283.
Wilmotte,  S., , 1983, “Model of the Evolution of the Temperature of the Strip in Hot Strip Mill,” CRM, 36, pp. 35–44.
Zienkiewicz,  O. C., Onate,  E., and Heinrich,  J. C., 1981, “General Formulation for Coupled Thermal Flow of Metals Using Finite Elements,” Int. J. Numer. Methods Eng., 17, pp. 1497–1514.
Tseng,  A. A., Lin,  F. H., Gunderia,  A. S., and Ni,  D. S., 1989, “Roll Cooling and Its Relationship to Roll Life,” Metall. Trans. A, 20, pp. 2305–2320.
Huang,  C. H., Ju,  T. M., and Tseng,  A. A., 1995, “The Estimation of Surface Thermal Behavior of the Working Roll in Hot Rolling Process,” Int. J. Heat Mass Transf., 38, No. 6, pp. 1019–1031.
Alifanov,  O. M., 1974, “Solution of an Inverse Problem of Heat Conduction by Iteration Methods,” J. Eng. Phys., 26, No. 4, pp. 471–476.
Beck,  J. V., Litkouhi,  B., and St. Clair,  C. R., 1982, “Efficient Sequential Solution of Nonlinear Inverse Heat Conduction Problem,” Numerical Heat Transfer, 5, pp. 275–286.
Zienkiewicz, O. C., 1971, The Finite Element Method in Engineering Science, McGraw-Hill, London.
Tohio,  Y., and Kazushige,  I., 1985, “Inverse Heat-Conduction Problem by Finite-Element Formulation,” Int. J. Syst. Sci., 16, pp. 1365–1376.
Zabaras,  N., and Liu,  J. C., 1988, “An Analysis of Two-Dimensional Linear Inverse Heat Transfer Problem Using an Integral Method,” Numer. Heat Transf., 13, pp. 527–533.
Bass,  B. R., 1980, “Application of the Finite Element Method to the Nonlinear Inverse Heat Conduction Problem Using Beck’s Second Method,” ASME J. Eng. Indus., 102, pp. 168–176.
Hsu,  T. R., Sun,  N. S., Chen,  G. G., and Gong,  Z. L., 1992, “Finite Element Formulation for Two-Dimensional Inverse Heat Conduction Analysis,” ASME J. Heat Transfer, 114, pp. 553–557.
Zheng,  H., and Murio,  D. A., 1996, “3D-IHCP on a Finite Cube,” Comput. Math. Applic., 31, No. 1, pp. 1–14.
Yang,  C. Y., and Chen,  C. K., 1996, “The Boundary Estimation in Two-Dimensional Inverse Heat Conduction Problems,” J. Phys. D: Appl. Phys., 29, pp. 333–339.
Yang,  Y. T., Hsu,  P. T., and Chen,  C. K., 1997, “A 3D Inverse Conduction Problem Approach for Estimating Heat Flux and Surface Temperature on a Hollow Cylinder,” J. Phys. D: Appl. Phys., 30, pp. 1326–1333.
Beck, J. V., Blackwell, B., and Clair, C. R. St., 1985, Inverse Heat Conduction-III Posed Problem, Wiley, New York.
Hensel, E., 1991, Inverse Theory and Applications for Engineers, Prentice-Hall, Englewood Cliffs, NJ.
Tseng,  A. A., Chang,  J. G., Raudensky,  M., and Horsky,  J., 1995, “An Inverse Finite Evaluation of Roll Cooling in Hot Rolling of Steels,” J. Mat. Process. Manuf. Sci., 3, No. 4, pp. 387–408.


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General Illustration of the roll system
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Detail geometry and grid distribution of a work roll
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(a) Surface temperature measured by Tseng 22 (time sequential information) (b) surface temperature measured by Tseng 22 (spatial information)
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The estimated and measured temperature located on the roll surface for case 1-a
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The estimated and measured temperature located on the roll surface for case 1-b
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The measured roll surface heat flux by Huang 22
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The estimated surface heat flux in case 3
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The estimated surface heat flux for case 3
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The estimated surface heat flux for case 3 with measurement error
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The estimated surface heat flux for case 3 with measurement error




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