A Hybrid Analytical-Numerical Solution to the Laminar Flow inside Biconical Ducts

In this work was presented a hybrid analytical-numerical solution to hydrodynamic problem of fully developed Newtonian laminar flow inside biconical ducts employing the Generalized Integral Transform Technique (GITT). In order to facilitate the analytical treatment and the application of the boundar...

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Detalles Bibliográficos
Autores: Alves, Thiago Antonini, Ramos, Ricardo Alan Verdú, Maia, Cassio Roberto Macedo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Brasil
Institución:Universidade Estadual de Londrina (UEL)
Repositorio:Revista Semina: Ciências Exatas e Tecnológicas (Online)
Idioma:portugués
OAI Identifier:oai:ojs2.ojs.uel.br:article/17273
Acceso en línea:https://ojs.uel.br/revistas/uel/index.php/semexatas/article/view/17273
Access Level:acceso abierto
Palabra clave:Integral Transform
Conformal Transform
Laminar Flow
Biconical
Transformada Integral
Transformação Conforme
Escoamento Laminar
Bicônico
Fenômenos de Transporte
Mecânica dos Fluidos
Descripción
Sumario:In this work was presented a hybrid analytical-numerical solution to hydrodynamic problem of fully developed Newtonian laminar flow inside biconical ducts employing the Generalized Integral Transform Technique (GITT). In order to facilitate the analytical treatment and the application of the boundary conditions, a Conformal Transform was used to change the domain into a more suitable coordinate system. Thereafter, the GITT was applied on the momentum equation to obtain the velocity field. Numerical results were obtained for quantities of practical interest, such as maximum and minimum velocity, Fanning friction factor, Poiseuille number, Hagenbach factor and hydrodynamic entry length.