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ERIC Number: EJ1085692
Record Type: Journal
Publication Date: 2005
Pages: N/A
Abstractor: As Provided
ISSN: ISSN-0009-2479
A Methodology to Determine Self-Similarity, Illustrated by Example: Transient Heat Transfer with Constant Flux
Monroe, Charles; Newman, John
Chemical Engineering Education, v39 n1 Win 2005
This simple example demonstrates the physical significance of similarity solutions and the utility of dimensional and asymptotic analysis of partial differential equations. A procedure to determine the existence of similarity solutions is proposed and subsequently applied to transient constant-flux heat transfer. Short-time expressions follow from expansion of the Laplace transform and similarity transformation when the outer wall is considered far away. Comparison of these results illustrates the connection between a semi-infinite geometry and short-time behavior.
Chemical Engineering Education, Chemical Engineering Division of ASEE. P.O. Box 142097, Gainesville, FL 32614. Tel: 352-392-0861; Fax: 352-392-0861; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A