Research Article

Application of Fitzpatrick Sequences to Solve a Heat Transfer Problem

by  Mohamed El Hachmi, Abdelaziz Ghafiri, Jamal Chaoufi
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 184 - Issue 33
Published: Oct 2022
Authors: Mohamed El Hachmi, Abdelaziz Ghafiri, Jamal Chaoufi
10.5120/ijca2022922427
PDF

Mohamed El Hachmi, Abdelaziz Ghafiri, Jamal Chaoufi . Application of Fitzpatrick Sequences to Solve a Heat Transfer Problem. International Journal of Computer Applications. 184, 33 (Oct 2022), 59-62. DOI=10.5120/ijca2022922427

                        @article{ 10.5120/ijca2022922427,
                        author  = { Mohamed El Hachmi,Abdelaziz Ghafiri,Jamal Chaoufi },
                        title   = { Application of Fitzpatrick Sequences to Solve a Heat Transfer Problem },
                        journal = { International Journal of Computer Applications },
                        year    = { 2022 },
                        volume  = { 184 },
                        number  = { 33 },
                        pages   = { 59-62 },
                        doi     = { 10.5120/ijca2022922427 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2022
                        %A Mohamed El Hachmi
                        %A Abdelaziz Ghafiri
                        %A Jamal Chaoufi
                        %T Application of Fitzpatrick Sequences to Solve a Heat Transfer Problem%T 
                        %J International Journal of Computer Applications
                        %V 184
                        %N 33
                        %P 59-62
                        %R 10.5120/ijca2022922427
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

The purpose of the article is to resolve the heat equation by optimizing a functional. Various cases of thermal conductivity tensors are developed. The Legendre-Fenchel-Moreau convex transformation is particularly used. Using the Fitzpatrick method, appropriate increasing sequences are built for materials with linear but asymmetric heat transfer.

References
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  • Fitzpatrick SP (1988) Representing monotone operators by convex functions. Miniconference on functional analysis and optimization (Canberra, August 8–24). In: Fitzpatrick SP, Giles JR (eds) Proceedings of the Centre for Mathematical Analysis. Australian National University, Canberra, vol 20, pp 59–65
  • Vallée, C., Chaoufi, J., & Lerintiu, C. (2014). The Dirichlet–Neumann problem revisited after modelling a new class of non-smooth phenomena. Annals of Solid and Structural Mechanics, 6(1), 29-36.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Heat transfer Variational principle Legendre-Fenchel transform Fitzpatrick’s series Functional optimization

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