An approximate mathematical model for solidification of a flowing liquid in a microchannel
Myers, T. G.
Low, J.
Centre de Recerca Matemàtica

Imprint: Centre de Recerca Matemàtica 2011
Description: 23 p.
Abstract: A mathematical model is developed to analyse the combined flow and solidification of a liquid in a small pipe or two-dimensional channel. In either case the problem reduces to solving a single equation for the position of the solidification front. Results show that for a large range of flow rates the closure time is approximately constant, and the value depends primarily on the wall temperature and channel width. However, the ice shape at closure will be very different for low and high fluxes. As the flow rate increases the closure time starts to depend on the flow rate until the closure time increases dramatically, subsequently the pipe will never close.
Rights: Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús Creative Commons
Language: Anglès
Series: Centre de Recerca Matemàtica. Prepublicacions
Series: Prepublicacions del Centre de Recerca Matemàtica ; 1011
Document: Article ; Prepublicació ; Versió de l'autor
Subject: Transformacions de fase (Física estadística)



23 p, 267.7 KB

The record appears in these collections:
Research literature > Preprints

 Record created 2011-09-02, last modified 2023-02-11



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