Exact closed-form solutions of some Stefan problems in thermally heterogeneous cylinders

O. P. Layeni; J. V. Johnson

doi:10.1016/j.mechrescom.2015.09.012

Exact closed-form solutions of some Stefan problems in thermally heterogeneous cylinders

O. P. Layeni, J. V. Johnson

Computer Science

Obafemi Awolowo University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It will be shown that one can obtain from a differential-difference equation reformulation exact closed-form solutions to a class of Stefan problems in cylinders with inverse-square thermal heterogeneity: in particular, new interfacial evolutions were discovered for this class of problems, which Gottlieb's approach [Appl. Math. Lett. 15 (2002) 167-172] had not been able to produce, alongside their associated exact closed-form temperature distributions.

Original language	English
Pages (from-to)	32-37
Number of pages	6
Journal	Mechanics Research Communications
Volume	71
DOIs	https://doi.org/10.1016/j.mechrescom.2015.09.012
State	Published - Jan 2016

Keywords

Clarkson-Kruskal's direct method
Differential-difference equations
Stefan problem

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10.1016/j.mechrescom.2015.09.012

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abstract = "It will be shown that one can obtain from a differential-difference equation reformulation exact closed-form solutions to a class of Stefan problems in cylinders with inverse-square thermal heterogeneity: in particular, new interfacial evolutions were discovered for this class of problems, which Gottlieb's approach [Appl. Math. Lett. 15 (2002) 167-172] had not been able to produce, alongside their associated exact closed-form temperature distributions.",

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N2 - It will be shown that one can obtain from a differential-difference equation reformulation exact closed-form solutions to a class of Stefan problems in cylinders with inverse-square thermal heterogeneity: in particular, new interfacial evolutions were discovered for this class of problems, which Gottlieb's approach [Appl. Math. Lett. 15 (2002) 167-172] had not been able to produce, alongside their associated exact closed-form temperature distributions.

AB - It will be shown that one can obtain from a differential-difference equation reformulation exact closed-form solutions to a class of Stefan problems in cylinders with inverse-square thermal heterogeneity: in particular, new interfacial evolutions were discovered for this class of problems, which Gottlieb's approach [Appl. Math. Lett. 15 (2002) 167-172] had not been able to produce, alongside their associated exact closed-form temperature distributions.

KW - Clarkson-Kruskal's direct method

KW - Differential-difference equations

KW - Stefan problem

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VL - 71

SP - 32

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JO - Mechanics Research Communications

JF - Mechanics Research Communications

ER -

Exact closed-form solutions of some Stefan problems in thermally heterogeneous cylinders

Abstract

Keywords

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