Proposing a normalized Biot number: For simpler determination of Fourier exponents and for evaluating the sensitivity of the Biot number

Martin Gram Christensen, Jens Adler-Nissen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

This paper presents a normalization of the Biot number, which enables the Fourier exponents to be fitted with a simple 3rd order polynomial (R2 > 0.9999). The method is validated for Biot numbers ranging from 0.02 to 8, and presented graphically for both the Fourier exponents and the lag factors needed in the series expansion. The lag factors and Fourier exponents are validated with an average variation coefficient (CVRMSD) less than 0.006. The resulting prediction error of the thermal response is <0.6 °C for spheres and
Original languageEnglish
JournalApplied Thermal Engineering
Volume86
Pages (from-to)214-221
Number of pages8
ISSN1359-4311
DOIs
Publication statusPublished - 2015

Keywords

  • Biot number
  • Eigenvalues
  • Fourier exponent
  • Lag factor
  • Normalization
  • Series expansion
  • Transient heat transfer
  • Curricula
  • Eigenvalues and eigenfunctions
  • Fourier transforms
  • Heat transfer
  • Fourier
  • Fourier series

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