Application of Heat Balance Integral Methods to One-Dimensional Phase Change Problems
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-23
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We employ the Heat Balance Integral Method (HBIM) to solve a number of thermal and phase change problems which occur in a multitude of industrial contexts.
As part of our analysis, we propose a new error measure for the HBIM that combines the least-squares error with a boundary immobilisation method.
We describe how to determine this error for three basic thermal problems and show how it can be used to determine an optimal heat balance formulation.
We then show how the HBIM, with the new error measure, may be used to approximate the solution of an aircraft deicing problem.
Finally we apply the new method to two industrially important phase change problems.
American Psychological Association (APA)
Mitchell, S. L.& Myers, T. G.. 2012. Application of Heat Balance Integral Methods to One-Dimensional Phase Change Problems. International Journal of Differential Equations،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-453023
Modern Language Association (MLA)
Mitchell, S. L.& Myers, T. G.. Application of Heat Balance Integral Methods to One-Dimensional Phase Change Problems. International Journal of Differential Equations No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-453023
American Medical Association (AMA)
Mitchell, S. L.& Myers, T. G.. Application of Heat Balance Integral Methods to One-Dimensional Phase Change Problems. International Journal of Differential Equations. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-453023
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453023