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Finite difference solution of one-dimensional Stefan problem with periodic boundary conditions

✍ Scribed by Svetislav Savović; James Caldwell

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
193 KB
Volume
46
Category
Article
ISSN
0017-9310

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✦ Synopsis

A finite difference method is used to solve the one-dimensional Stefan problem with periodic Dirichlet boundary condition. The temperature distribution, the position of the moving boundary and its velocity are evaluated. It is shown that, for given oscillation frequency, both the size of the domain and the oscillation amplitude of the periodically oscillating surface temperature, strongly influence the temperature distribution and the boundary movement. Furthermore, good agreement between the present finite difference results and numerical results obtained previously using the nodal integral method is seen.

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