### Abstract

Assuming that for small Fourier numbers heat transfer is determined by the specific heat of a heated layer of thickness δ= √a · τ, an equation is derived for the temperature field, whose solution is satisfied in finite quadratures and has a fairly simple form. The results of calculations made using the proposed dependence are compared with the accurate solutions obtained by A. V. Lykov. This suggests that acceptable calculation accuracy may be achieved for Fo<0.001 and Bi<20. In this case the values of the dimensionless temperature do not depend on the shape of the body, and the proposed dependence can be used for calculations of plates, cylinders, or spheres.

Original language | English |
---|---|

Pages (from-to) | 18-19 |

Number of pages | 2 |

Journal | Technical Physics Letters |

Volume | 23 |

Issue number | 1 |

Publication status | Published - Jan 1997 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Technical Physics Letters*,

*23*(1), 18-19.

**Calculation of non-steady-state thermal conduction for low Fourier numbers (Fo<0.001).** / Loginov, V. S.; Dorokhov, A. R.; Repkina, N. Yu.

Research output: Contribution to journal › Article

*Technical Physics Letters*, vol. 23, no. 1, pp. 18-19.

}

TY - JOUR

T1 - Calculation of non-steady-state thermal conduction for low Fourier numbers (Fo<0.001)

AU - Loginov, V. S.

AU - Dorokhov, A. R.

AU - Repkina, N. Yu

PY - 1997/1

Y1 - 1997/1

N2 - Assuming that for small Fourier numbers heat transfer is determined by the specific heat of a heated layer of thickness δ= √a · τ, an equation is derived for the temperature field, whose solution is satisfied in finite quadratures and has a fairly simple form. The results of calculations made using the proposed dependence are compared with the accurate solutions obtained by A. V. Lykov. This suggests that acceptable calculation accuracy may be achieved for Fo<0.001 and Bi<20. In this case the values of the dimensionless temperature do not depend on the shape of the body, and the proposed dependence can be used for calculations of plates, cylinders, or spheres.

AB - Assuming that for small Fourier numbers heat transfer is determined by the specific heat of a heated layer of thickness δ= √a · τ, an equation is derived for the temperature field, whose solution is satisfied in finite quadratures and has a fairly simple form. The results of calculations made using the proposed dependence are compared with the accurate solutions obtained by A. V. Lykov. This suggests that acceptable calculation accuracy may be achieved for Fo<0.001 and Bi<20. In this case the values of the dimensionless temperature do not depend on the shape of the body, and the proposed dependence can be used for calculations of plates, cylinders, or spheres.

UR - http://www.scopus.com/inward/record.url?scp=0039919808&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039919808&partnerID=8YFLogxK

M3 - Article

VL - 23

SP - 18

EP - 19

JO - Technical Physics Letters

JF - Technical Physics Letters

SN - 1063-7850

IS - 1

ER -