EXACT NUMERICAL-SOLUTIONS FOR RADIATIVE HEAT-TRANSFER IN CYLINDRICAL FURNACES

Date

1988-05-01

Author

Selçuk, Nevin

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Exact expressions for the distributions of the components of radiative flux density and the radiative energy source term in terms of wall and medium temperature distributions have been formulated for an emitting absorbing medium of constant properties bounded by black walls of a cylindrical enclosure. The accuracy of numerical solutions has been tested on an idealized enclosure for which exact analytical solution of the expressions is possible and shown to have six‐figure accuracy. The exact expressions have then been solved numerically for an enclosure problem based on data reported previously on a large scale experimental furnace. The principal feature of the data is highly non‐uniform temperature distributions which are typical of the conditions encountered in industrial furnaces. These data have been chosen because of their practical importance and the non‐availability of exact solutions for such data. The resulting exact solutions have been tabulated and are intended to serve in the future as standards for testing the accuracy of the approximate predictions produced using various three‐dimensional flux models in cylindrical configurations.

Subject Keywords

Mathematics, interdisciplinary applications

URI

https://hdl.handle.net/11511/32103

Journal

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

DOI

https://doi.org/10.1002/nme.1620260513

Collections

Graduate School of Natural and Applied Sciences, Article

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Citation Formats

N. Selçuk, “EXACT NUMERICAL-SOLUTIONS FOR RADIATIVE HEAT-TRANSFER IN CYLINDRICAL FURNACES,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, pp. 1201–1212, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32103.