Call number:
ZSP-201-87/19
In:
CRREL Report, 87-19
Description / Table of Contents:
The approximate heat balance integral method (HBIM) is extended to the case of a medium with variable properties such as snow. The case of linear variation of thermal conductivity was investigated. An alternative heat balance integral method (AHBIM) was developed. Both constant surface temperature and surface heat flux were considered. A comparison was made of the temperature distribution from the HBIM, AHBIM and an analytical method for the case of constant surface temperature. In general, results agree quite well with the analytical method for small values of dimensionless time τ, but the difference becomes more pronounced as τ increases. It was found that the AHBIM with a quadratic temperature profile gave a somewhat better result, especially when the value of the dimensionless distance η is small. For a specific property function of E(η) = eη, closed form solutions were obtained. The results, when compared with those from HBIM, AHBIM and the analytical method were found to agree exceptionally well with the analytical method, especially for large values of τ.
Type of Medium:
Series available for loan
Pages:
iv, 26 Seiten
,
Illustrationen
Series Statement:
CRREL Report 87-19
URL:
https://apps.dtic.mil/dtic/tr/fulltext/u2/a186933.pdf
URL:
https://hdl.handle.net/11681/9021
Language:
English
Note:
CONTENTS
Abstract
Preface
Nomenclature
Introduction
Mathematical analysis
Constant surface temperature
Constant surface heat flux
Comparison with exact solution
Alternative method
Conclusions and comments
Literature cited
Appendix A: Derivation of equation 25
Appendix B: Derivations of equations 37 and 40
Appendix C: Derivation of equations 37a and 40
Location:
AWI Archive
Branch Library:
AWI Library
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