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Three-dimensional steady-state temperature distribution about cylinders and discs

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Abstract

The steady-state temperature distribution about heat sources possessing axial symmetry is presented in two cases, the right circular source cylinder and the cylindrical column of thin circular source discs of random orientation. In both cases, the source strength is assumed to decrease exponentially from the one end of the cylinder to the other. Application of the results to the problem of optically produced burns, such as the retinal burn obtained in sun-gazing, is discussed. A brief comparison is made of the steady-state model with that employed in studies of transient temperature distributions in systems with time-dependent source strengths.

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Authors and Affiliations

  1. Institute of Statistics, North Carolina State University, Raleigh, North Carolina

    Don Ridgeway

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  1. Don Ridgeway
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Ridgeway, D. Three-dimensional steady-state temperature distribution about cylinders and discs. Bulletin of Mathematical Biophysics 30, 701–713 (1968). https://doi.org/10.1007/BF02476685

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  • DOI: https://doi.org/10.1007/BF02476685

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