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TECHNICAL NOTES

An Inverse Determination of Unsteady Heat Fluxes Using a Network Simulation Method

[+] Author and Article Information
F. Alhama

Department of Applied Physics, Technical University of Cartagena, Campus Muralla del Mar. Cartagena 30203, Spain

J. Zueco, C. F. González Fernández

Department of Thermal Engineering and Fluids, Technical University of Cartagena, Campus Muralla del Mar. Cartagena 30203, Spain

J. Heat Transfer 125(6), 1178-1183 (Nov 19, 2003) (6 pages) doi:10.1115/1.1597614 History: Received July 09, 2001; Revised April 08, 2003; Online November 19, 2003
Copyright © 2003 by ASME
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References

Stolz,  G., 1960, “Numerical Solution to an Inverse Problem of Heat Conduction for Simple Shape,” ASME J. Heat Transfer, 82, pp. 20–26.
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Sparrow,  E. M., Haji-Sheikh,  A., and Lundgren,  T. S., 1964, “The Inverse Problem in Transient Heat Conduction,” ASME J. Appl. Mech., 86, pp. 369–375.
Beck,  J. V., 1968, “Surface Heat Flux Determination Using an Integral Method,” Nucl. Eng. Des., 7, pp. 170–178.
Beck, J. V., Blackwell, B., and St. Clair, C. R. Jr., 1985, Inverse Heat Conduction, Ill-Posed Problems, Wiley-Interscience, New York.
Kurpisz,  K., 1991, “Numerical Solution of One Case Inverse Heat Conduction Problem,” ASME J. Heat Transfer, 113, pp. 280–286.
Huang,  C. H., and Özisik,  M. N., 1992, “Inverse Problem of Determination Unknown Wall Heat Flux in Laminar Flow Through a Parallel Plate Duct,” Numer. Heat Transfer, Part A, 21, pp. 55–70.
Park,  H. M., and Chung,  O. Y., 1999, “Inverse Natural Convection Problem of Estimation Wall Heat Flux Using a Moving Source,” ASME J. Heat Transfer, 121, pp. 828–836.
González Fernández,  C. F., Alhama,  F., López Sánchez,  J. F., and Horno,  J., 1998, “Application of the Network Method to Heat Conduction Processes With Polynomial and Potential-Exponentially Varying Thermal Properties,” Numer. Heat Transfer, Part A, 33, pp. 549–559.
Alhama,  F., López Sánchez,  J., and González-Fernández,  C. F., 1997, “Heat Conduction Through a Multilayered Wall With Variable Boundary Conditions,” Energy (Oxford), 22, pp. 797–803.
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PSPICE 6.0, 1994, Microsim Corporation, 20 Fairbanks, Irvine, CA, 92718.
Nagel, L. W., 1977, SPICE (A Computer Program to Simulate Semiconductor Circuits), Memo UCB/ERL M520, University of California, Berkeley, CA, Chpts. 4–6.
Alhama, F., 1999, “Transient Thermal Responses in Nonlinear Heat Conduction Processes Using the Network Simulation Method,” Ph.D thesis, University of Murcia, Spain.

Figures

Grahic Jump Location
Nomenclature of temperatures and heat fluxes into the control volume
Grahic Jump Location
Network model for the control volume
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IHCP solution for constant incident heat flux: Δε=0.5 percent; r=3, 5 and 7; m=25
Grahic Jump Location
IHCP solution for a constant incident heat flux: Δε=0.5, 1 and 2 percent; r=5;m=25
Grahic Jump Location
IHCP solution for a triangular incident heat flux. Δε=2 percent; r=3, 5 and 7; m=40: (a) relative error (percent), and (b) heat flux.
Grahic Jump Location
IHCP solution for a triangular incident heat flux. Δε=0.5 and 2 percent; r=5;m=40: (a) relative error (percent), and (b) heat flux.
Grahic Jump Location
IHCP solution for a sinusoidal incident heat flux. Δε=0 and 2 percent; r=3;m=40 (a) relative error (percent), and (b) heat flux.
Grahic Jump Location
IHCP solution for a sinusoidal incident heat flux. Δε=0; r=3, 5 and 7; m=40: (a) relative error (percent), and (b) heat flux.
Grahic Jump Location
IHCP solution for a step incident heat flux. Δε=0; r=3, 5 and 7; m=100: (a) relative error (percent), and (b) heat flux.

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