Uncoupling laminar conjugate heat transfer through chebyshev polynomial

The conjugate heat transfer process of cooling a horizontal plate at the leading edge, in steady state condition, was solved considering the fluid flowing in laminar condition and hydro dynamically developed before interacting with a heated plate. The fluid was considered deep enough to allow the gr...

Full description

Autores:
Bula Silvera, Antonio Jose
Vásquez Padilla, Ricardo Saulo
Tipo de recurso:
Article of journal
Fecha de publicación:
2010
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/37595
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/37595
http://bdigital.unal.edu.co/27679/
Palabra clave:
Chebyshev’s polynomial
conjugate heat transfer.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:The conjugate heat transfer process of cooling a horizontal plate at the leading edge, in steady state condition, was solved considering the fluid flowing in laminar condition and hydro dynamically developed before interacting with a heated plate. The fluid was considered deep enough to allow the growth of a thermal boundary layer with no restrictions. The conservation of mass, momentum and energy equations at the solid and fluid were converted into a non dimensional form. The heated body presents a constant heat flux at the bottom side, and convective heat transfer at the top side. The interface temperature was obtained using the Chebyshev polynomial approximation. In order to verify the results obtained using the Chebyshev polynomial approximation, the results obtained from the analytical solution for the solid, were compared with the results attained with commercial CFD software, FIDAP®. The solution considered the calculation of the local and average heat transfer coefficient, the local and average Nussel t number, the local and average Biot number, and different temperature distributions at the interface.