کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634045 1340684 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximate solution methods for one-dimensional solidification from an incoming fluid
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Approximate solution methods for one-dimensional solidification from an incoming fluid
چکیده انگلیسی

This paper concerns a one-dimensional model for solidification due to incoming supercooled liquid impacting on a substrate that is maintained at a fixed temperature. Using a boundary immobilisation method, and assuming that both the solid and liquid layers remain thin throughout the process, a second-order accurate perturbation expansion is determined. An alternative approximate solution, found using the heat balance integral method, is also described to analyse the problem, and the liquid height and temperatures in the solid and liquid are subsequently found for both approximate solutions. These are then compared with a numerical scheme which solves the full Stefan problem. The perturbation solution is shown to be more accurate, but the HBI method is simpler to implement and avoids complications that arise in the ordering of terms in the perturbation expansion as the difference between the substrate and melting temperature changes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 202, Issue 1, 1 August 2008, Pages 311–326
نویسندگان
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