0
TECHNICAL PAPERS: Conduction

An Inverse Method for Simultaneous Estimation of the Center and Surface Thermal Behavior of a Heated Cylinder Normal to a Turbulent Air Stream

[+] Author and Article Information
Jiin-Hong Lin, Cha’o-Kuang Chen, Yue-Tzu Yang

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, Republic of China

J. Heat Transfer 124(4), 601-608 (Jul 16, 2002) (8 pages) doi:10.1115/1.1473140 History: Received June 07, 1999; Revised February 27, 2002; Online July 16, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.

References

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(11), pp. 2305–2320.
Stolz,  G., 1960, “Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes,” ASME J. Heat Transfer, 82, pp. 20–26.
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. Ind., 102(2), pp. 168–176.
Beck,  J. V., Litkouhi,  B., and St. Clair,  C. R., 1982, “Efficient Sequential Solution of Nonlinear Inverse Heat Conduction Problem,” Numer. Heat Transfer, 5(3), pp. 275–286.
Jarny,  Y., Ozisik,  M. N., and Bardon,  J. P., 1991, “General Optimization Method Using Adjoint Equation for Solving Multidimensional Inverse Heat Conduction,” Int. J. Heat Mass Transf., 34(11), pp. 2911–2919.
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.
Yang,  Y. T., Hsu,  P. T., and Chen,  C. K., 1997, “A Three-Dimensional Inverse Heat Conduction Problem Approach for Estimating the Heat Flux and Surface Temperature of a Hollow Cylinder,” J. Appl. Phys., J. Phys. D, 30, pp. 1326–1333.
Beck, J. V., Blackwell, B., and St. Clair, C. R., 1985, Inverse Heat Conduction—Ill-Posed Problem, Wiley, New York.
Morozov, V. A., and Stressin, M., 1993, Regularization Method for Ill-Posed Problems, CRC Press, Boca Raton, FL.
Murio, D. A., 1993, The Mollification Method and the Numerical Solution of Ill-Posed Problems, Wiley, New York.
Tikhnov, A. N., and Arsenin, V. Y., 1997, Solution of Ill-Posed Problems, Winston and Sons, Washington, D.C.
Lin,  J. H., Chen,  C. K., and Yang,  Y. T., 2001, “Inverse Method for Estimating Thermal Conductivity in One-Dimensional Heat Conduction Problems,” AIAA Journal of Thermophysics and Heat Transfer, 15(1), pp. 34–41.
Yang,  C. Y., and Chen,  C. K., 1996, “The Boundary Estimation in Two-Dimensional Inverse Heat Conduction Problems,” J. Appl. Phys., J. Phys. D, 29(2), pp. 333–339.
Giedt,  W. H., 1949, “Investigation of Variation of Point Unit-Heat-Transfer Coefficient Around a Cylinder Normal to an Air Stream,” Trans. ASME, 71, pp. 375–381.
Kalman, R. E., 1960, “A New Approach to Linear Filtering and Prediction Problems,” Trans. ASME, 82D , pp. 35–45.
Pfahl,  R. C., 1966, “Nonlinear Least-Squares: A Method for Simultaneous Thermal Property Determination in Ablating Polymeric Materials,” J. Appl. Polym. Sci., 10(8), pp. 1111–1119.
Sorenson, H. W., 1980, Parameter Estimation: Principles and Problems, Marcel Dekker, New York.
Yang,  C. Y., 1997, “Noniterative Solution of Inverse Heat Conduction Problems in One Dimension,” Communications in Numerical Methods in Engineering, 13(6), pp. 419–427.
KaleidaGraph Reference Guide Version 3.05, 1994, Abelbeck Software, pp. 174.
Friedberg, S. H., Insel, A. J., and Spence L. E., 1992, Linear Algebra, 2nd ed, Prentice Hall, Singapore, pp. 147–167.
IMSL User’s Manual, 1985, Math Library Version 1.0, IMSL Library Edition 10.0, IMSL, Houston, TX.
Silva Neto,  A. J., and Ozisik,  M. N., 1993, “Inverse Problem of Simultaneously Estimating the Timewise Varying Strength of Two-Plane Heat Source,” J. Appl. Phys., 73, pp. 2132–2137.

Figures

Grahic Jump Location
General illustration of the cylinder system
Grahic Jump Location
Detail geometry and computational grid of a half domain of the cylinder with four types of measuring locations: (a) Type 1; (b) Type 2; (c) Type 3; and (d) Type 4
Grahic Jump Location
The isothermal patterns inside the heated cylinder: (a) Re=140,000; (b) Re=170,000; and (c) Re=219,000
Grahic Jump Location
The estimated hot wire temperature for different values of Reynolds number with the measurement error σ=5 percent is considered and different types of measuring locations and adopted
Grahic Jump Location
The estimated surface temperature for different types of measuring locations without considering measurement error (σ=0)
Grahic Jump Location
The estimated surface temperature for different types of measuring locations with measurement errors σ=5 percent and σ=10 percent are considered: (a) Re=140,000; (b) Re=170,000; and (c) Re=219,000
Grahic Jump Location
The estimated distribution of local Nusselt number along the heated cylinder surface without measurement error (σ=0)
Grahic Jump Location
The estimated distribution of local heat flux along the heated cylinder surface without measurement error (σ=0)
Grahic Jump Location
The estimated distribution of local Nusselt number along the heated cylinder surface with measurement errors (σ=3 percent and σ=5): (a) Re=140,000; (b) Re=170,000; and (c) Re=219,000
Grahic Jump Location
The estimated distribution of local heat flux along the heated cylinder surface with measurement errors (σ=3 percent and σ=5): (a) Re=140,000; (b) Re=170,000; and (c) Re=219,000

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In