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TECHNICAL PAPERS

Boundary Condition Design to Heat a Moving Object at Uniform Transient Temperature Using Inverse Formulation

[+] Author and Article Information
Hakan Ertürk

Intel Corporation, Chandler, Arizona, 85226-3699

Ofodike A. Ezekoye, John R. Howell

Department of Mechanical Engineering, The University of Texas at Austin, Austin, Texas, 78712-1063

J. Manuf. Sci. Eng 126(3), 619-626 (Sep 07, 2004) (8 pages) doi:10.1115/1.1763179 History: Received February 01, 2003; Revised November 01, 2003; Online September 07, 2004
Copyright © 2004 by ASME
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References

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Özişik, M. N., and Orlande, H. R. B., 2000, Inverse Heat Transfer, Taylor and Francis, New York.
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Dulikravich, G. S., and Martin, T. J., 1997, “Inverse Shape and Boundary Condition Problems and Optimization in Heat Conduction,” Advances in Numerical Heat Transfer, W. J. Minkowycz, and E. M. Sparrow, eds., vol. 1, Taylor and Francis, Washington DC.
Howell,  J. R., Ezekoye,  O. A., and Morales,  J. C., 2000, “Inverse Design Model for Radiative Heat Transfer,” ASME J. Heat Transfer, 122, pp. 492–502.
França,  F. H. R., Ezekoye,  O. A., and Howell,  J. R., 2001, “Inverse Boundary Design Combining Radiation and Convection Heat Transfer,” ASME J. Heat Transfer, 123(5), pp. 884–891.
França, F. H. R., Howell, J. R., Ezekoye, O. A., and Morales, J. C., 2002, “Inverse Design of Thermal Systems,” Advances in Heat Transfer, J. P. Hartnett and T. F. Irvine, eds., 36 , pp. 1–110, Academic Press, New York.
Ertürk,  H., Ezekoye,  O. A., and Howell,  J. R., 2002, “The Application of An Inverse Formulation In The Design of Boundary Conditions for Transient Radiating Enclosures,” ASME J. Heat Transfer, 124, pp. 1095–1102.
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Ertürk,  H., Ezekoye,  O. A., and Howell,  J. R., 2002, “Comparison of Three Regularized Solution Techniques in a Three-Dimensional Inverse Radiation Problem,” J. Quant. Spectrosc. Radiat. Transf., 73, pp. 307–316.
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Figures

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(a) Enclosure with the conditions of the forward problem, (b) enclosure with the conditions of an inverse problem
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The geometry of the furnace in the transient heating of a moving object problem (dimensions are given in meters)
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The surface moving with respect to the control volume (⋅⋅⋅⋅: control volumes, – : surface)
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The flowchart of the solution algorithm
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The desired design surface temperature history for the transient heating of a moving object problem
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The change of temperature in the design surface with time along points 1 and 2 compared with design objective.
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The maximum and average of absolute percentage errors based on design surface temperature and design specification
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The temperatures of six heater elements along the heating process
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The necessary temperatures for heater elements along lines y=0.0625 and y=0.4375 at three different times
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The necessary heat input for six heater elements along the heating process
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The necessary heat input for heater elements along lines y=0.0625 and y=0.4375 at three different times

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