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Is it reasonable to assume a uniformly distributed cooling‐rate along the microslide of a directional solidification stage?
Author(s) -
Rabin Y.
Publication year - 2000
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1046/j.1365-2818.2000.00718.x
Subject(s) - thermal , stage (stratigraphy) , mechanics , materials science , distribution (mathematics) , directional solidification , thermodynamics , mathematics , geology , composite material , physics , mathematical analysis , microstructure , paleontology
It is commonly assumed that the cooling‐rate along the microslide of a directional solidification stage is uniformly distributed, an assumption which is typically applied in low cooling‐rates studies. A new directional solidification stage has recently been presented, which is specified to achieve high cooling‐rates of up to 1.8 × 10 4 ° C min −1 , where cooling‐rates are still assumed to be uniformly distributed. The current study presents a closed‐form solution to the temperature distribution and to the cooling‐rate in the microslide. Thermal analysis shows that the cooling‐rate is by no means uniformly distributed and can vary by several hundred percent along the microslide in some cases. Therefore, the mathematical solution presented in this study is essential for experimental planning of high cooling‐rate experiments.