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Directional Solidification with Constant Ice Front Velocity in the Ice‐Templating Process
Author(s) -
Stolze Christian,
Janoschka Tobias,
Schubert Ulrich S.,
Müller Frank A.,
Flauder Stefan
Publication year - 2016
Publication title -
advanced engineering materials
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 114
eISSN - 1527-2648
pISSN - 1438-1656
DOI - 10.1002/adem.201500235
Subject(s) - front (military) , materials science , front velocity , directional solidification , exponential function , mechanics , constant (computer programming) , ceramic , suspension (topology) , mineralogy , thermodynamics , composite material , geology , meteorology , microstructure , physics , mathematical analysis , mathematics , homotopy , computer science , pure mathematics , programming language
An exponential cooling function for the directional solidification of liquids with constant ice front velocities is investigated with respect to an enhanced control over the ice‐templating process. It is mathematically derived and set into relation to other cooling functions found in literature. A theoretical limit of applicability is discussed and a mathematical expression for the maximum sample size realizable with this new approach is derived. Experimental results from the time‐resolved direct measurement of the ice front evolution during the directional solidification of pure water and a ceramic β‐tricalcium phosphate (β‐TCP) suspension in a cooling room environment are presented. These results are compared to the results of numerical simulations. Ice front velocities from 10 to 50 µm s –1 are realized.