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Explicit equations for transient heat conduction in finite solids for Bi > 2

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Abstract

A set of correlations is developed for transient heat conduction in finite solids (plates, cylinders and spheres) exposed to high Biot number convection boundary conditions. For Bi ≥ 3, the error of the approximate solutions is well below 1% of the initial temperature difference driving the transient.

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Authors and Affiliations

  1. Mechanical Aerospace and Nuclear Engineering Department, Rensselaer Polytechnic Institute, Troy, NY, USA

    A. G. Ostrogorsky

  2. Mechanical Engineering Department, Massachusetts Institute of Technology, Cambridge, MA, USA

    B. B. Mikic

Authors
  1. A. G. Ostrogorsky
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  2. B. B. Mikic
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Correspondence to A. G. Ostrogorsky.

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Ostrogorsky, A.G., Mikic, B.B. Explicit equations for transient heat conduction in finite solids for Bi > 2. Heat Mass Transfer 45, 375–380 (2009). https://doi.org/10.1007/s00231-008-0438-9

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  • DOI: https://doi.org/10.1007/s00231-008-0438-9

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