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Optimising the heat balance integral method in spherical and cylindrical Stefan problems

Author
Ribera, H.; Myers, T.; MacDevette, M.
Type of activity
Journal article
Journal
Applied mathematics and computation
Date of publication
2019-08-01
Volume
354
First page
216
Last page
231
DOI
10.1016/j.amc.2019.02.039
URL
https://www.sciencedirect.com/science/article/abs/pii/S0096300319301432 Open in new window
Abstract
The Heat Balance Integral Method (HBIM) is generally applied to one-dimensional Cartesian heat flow and Stefan problems. The main reason for this being that solutions in spherical and cylindrical coordinates are less accurate than in Cartesian. Consequently, in this paper we examine the application of the HBIM to Stefan problems in spherical and cylindrical coordinates, with the aim of improving accuracy. The standard version as well as one designed to minimise errors will be applied on the orig...
Keywords
Cylindrical coordinates, Heat balance integral method, Phase change, Spherical coordinates, Stefan problem

Participants

  • Ribera Ponsa, Helena  (author)
  • Myers, Timothy  (author)
  • MacDevette, M.M.  (author)