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

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

Authors

  • Thiago Antonini Alves Universidade Tecnológica Federal do Paraná
  • Ricardo Alan Verdú Ramos Unesp/Ilha Solteira
  • Cassio Roberto Macedo Maia Unesp/Ilha Solteira

DOI:

https://doi.org/10.5433/1679-0375.2015v36n2p119

Keywords:

Integral Transform, Conformal Transform, Laminar Flow, Biconical

Abstract

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.

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Author Biography

Thiago Antonini Alves, Universidade Tecnológica Federal do Paraná

Departamento Acadêmico de Mecânica

Published

2015-10-17

How to Cite

Alves, T. A., Ramos, R. A. V., & Maia, C. R. M. (2015). A Hybrid Analytical-Numerical Solution to the Laminar Flow inside Biconical Ducts. Semina: Ciências Exatas E Tecnológicas, 36(2), 119–132. https://doi.org/10.5433/1679-0375.2015v36n2p119

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Original Article

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