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Temperature Distribution in Porous Fins, Subjected to Convection and Radiation, Obtained from the Minimization of a Convex Functional
Joint Authors
Martins-Costa, Maria Laura
Vendas Sarmento, Vinícius
Moraes de Lira, Allan
Saldanha da Gama, Rogério M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This work proposes a convex functional endowed with a minimum, which occurs for the solution of the thermal radiation and natural convection heat transfer problem in a rectangular profile porous fin with a fluid flowing through it.
The minimum principle ensures the (mathematically demonstrated) uniqueness of the solution and allows the problem simulation by employing a minimization procedure.
Darcy’s law with the Oberbeck–Boussinesq approximation simplifies the momentum equation.
The energy equation assumes thermal equilibrium between the porous matrix and fluid, allowing comparisons with previous authors’ models, which accounts for the effects of a porosity parameter, a radiation parameter, and a temperature ratio on the temperature.
Results for very long fin and finite-length fin with insulated tip were successfully compared with previous works.
Closed-form exact solutions for two limiting cases (no convection and no thermal radiation) are also presented.
American Psychological Association (APA)
Martins-Costa, Maria Laura& Vendas Sarmento, Vinícius& Moraes de Lira, Allan& Saldanha da Gama, Rogério M.. 2020. Temperature Distribution in Porous Fins, Subjected to Convection and Radiation, Obtained from the Minimization of a Convex Functional. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1201476
Modern Language Association (MLA)
Martins-Costa, Maria Laura…[et al.]. Temperature Distribution in Porous Fins, Subjected to Convection and Radiation, Obtained from the Minimization of a Convex Functional. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1201476
American Medical Association (AMA)
Martins-Costa, Maria Laura& Vendas Sarmento, Vinícius& Moraes de Lira, Allan& Saldanha da Gama, Rogério M.. Temperature Distribution in Porous Fins, Subjected to Convection and Radiation, Obtained from the Minimization of a Convex Functional. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1201476
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201476