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Application of heat balance integral methods to one-dimensional phase change problems

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journal contribution
posted on 2018-01-12, 11:46 authored by Sarah L. Mitchell, Tim G. Myers
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.

Funding

Planning Grant for Discrete Field Dynamic Stability Analysis of Three-Dimensional X-Braced and Warren Truss Lattices

Directorate for Engineering

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History

Publication

International Journal of Differential Equations;187902

Publisher

Hindawi Publishing Corporation

Note

peer-reviewed

Other Funding information

SFI, Ireland Mathematics Initiative, Marie Curie-Sklodowska Action (MCSA), Ministerio de Ciencia e InnovaciĆ³n

Language

English

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