Entropy generation minimization in steady-state and transient diffusional heat conduction processes Part I – Steady-state boundary value problem

An application of the Entropy Generation Minimization principle allows new formulation of the boundary and initial boundaryvalue problems. Applying Euler-Lagrange variational formalism new mathematical form of heat conduction equation describing steady-state processes have been derived. Mathematical...

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Bibliographic Details
Published inBulletin of the Polish Academy of Sciences. Technical sciences Vol. 62; no. 4; pp. 875 - 882
Main Authors Kolenda, Z.S., Szmyd, J.S., Huber, J.
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter Open 01.12.2014
Polish Academy of Sciences
Subjects
Boundaries
Boundary value problems
Conduction
Diffusion
Entropy
entropy generation
Euler-Lagrange variational equation
Heat conduction
Mathematical analysis
Minimization
Optimization
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Summary:An application of the Entropy Generation Minimization principle allows new formulation of the boundary and initial boundaryvalue problems. Applying Euler-Lagrange variational formalism new mathematical form of heat conduction equation describing steady-state processes have been derived. Mathematical method presented in the paper can also be used for any diffusion heat and mass transfer process. Linear and non-linear problems with internal heat sources have been analyzed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:2300-1917
0239-7528
2300-1917
DOI:10.2478/bpasts-2014-0096