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 language | English |
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Journal | Applied Thermal Engineering |
Volume | 86 |
Pages (from-to) | 214-221 |
Number of pages | 8 |
ISSN | 1359-4311 |
DOIs | |
Publication status | Published - 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