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TECHNICAL PAPERS: Radiative Heat Transfer

Infinitesimal-Area Radiative Analysis Using Parametric Surface Representation, Through NURBS

[+] Author and Article Information
K. J. Daun, K. G. T. Hollands

University of Waterloo, Department of Mechanical Engineering, Waterloo, Ontario, Canada N2L 3G1

J. Heat Transfer 123(2), 249-256 (Oct 03, 2000) (8 pages) doi:10.1115/1.1351168 History: Received November 08, 1999; Revised October 03, 2000
Copyright © 2001 by ASME
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References

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Buckley,  H., 1927, “On the Radiation From the Inside of a Circular Cylinder,” Philos. Mag., 4, pp. 753–762.
Buckley,  H., 1928, “On the Radiation from the Inside of a Circular Cylinder—Part II,” Philos. Mag., 6, pp. 447–457.
Hottel,  H. C., and Keller,  J. D., 1933, “Effect of Reradiation on Heat Transmission in Furnaces and Through Openings,” Trans. ASME, 53, pp. 39–49.
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Sparrow,  E. M., Albers,  L. U., and Eckert,  E. R. G., 1962, “Thermal Radiation Characteristics of Cylindrical Enclosures,” J. Heat Transfer , 84, pp. 73–80.
Usiskin,  C. M., and Siegel,  R., 1960, “Thermal Radiation from a Cylindrical Enclosure with Specified Wall Heat Flux,” J. Heat Transfer , 82, pp. 369–374.
Sparrow,  E. M., and Haji-Sheikh,  A., 1965, “A Generalized Variational Method for Calculating Radiant Interchange Between Surfaces,” J. Heat Transfer, 87, pp. 103–109.
Sparrow,  E. M., and Haji-Sheikh,  A., 1970, “The Solution of Radiative Exchange Problems by Least Squares Techniques,” Int. J. Heat Mass Transf., 13, pp. 647–650.
Haji-Seikh, A., 1988, “Monte Carlo Methods” in Handbook of Numerical Heat Transfer, W. J. Minkowycz et al., eds. Wiley, New York, pp. 673–717.
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Piegl, L., and Tiller, W., 1997, The NURBS Book, 2nd Ed., Springer-Verlag, Berlin.
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Figures

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Parametric representation of an enclosure surface
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Geometry between two-infinitesimal areas
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Quarter cylinder representation in NURBS
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Isothermal, cylindrical enclosure analyzed by Sparrow et al. 8
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Heated cylinder with end walls at 0 [K], Usiskin and Siegel 9
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Adiabatic cylinder with end walls of different temperature, Usiskin and Siegel 9
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Enclosure treated by Hottel and Keller 6
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Grid refinement study for the problem of Fig. 8
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Treatment of enclosures with obstructions 21: (a) an enclosure with an obstruction; (b) surfaces are initially split to form sub-surfaces (a trapezoidal prism is constructed around each subsurface); (c) each trapezoidal prism is checked for ray intersection; (d) if a ray intersects a trapezoidal prism, the corresponding sub-surface is checked for ray intersection by finding u* through Newton iteration

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