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Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method

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Listed:
  • Valdecir Alves dos Santos Júnior

    (Department of Physics and Civil Engineering, Center of Science, Technology and Health, State University of Paraíba, Cel. Pedro Targino Ave, 58233-000 Araruna-PB, Brazil)

  • Severino Rodrigues de Farias Neto

    (Department of Chemical Engineering, Center of Science and Technology, Federal University of Campina Grande, 882 Aprígio Veloso St, 58428-830 Campina Grande-PB, Brazil)

  • Antonio Gilson Barbosa de Lima

    (Department of Mechanical Engineering, Center of Science and Technology, Federal University of Campina Grande, 882 Aprígio Veloso St, 58428-830 Campina Grande-PB, Brazil)

  • Igor Fernandes Gomes

    (Department of Civil Engineering, Technology Center, Federal University of Pernambuco, Acadêmico Hélio Ramos St, 50670-420 Recife-PE, Brazil)

  • Israel Buriti Galvão

    (Department of Mathematics, Center of Science and Technology, State University of Paraíba, 351 Baraúnas St, 58429-500 Campina Grande-PB, Brazil)

  • Célia Maria Rufino Franco

    (Department of Physics and Mathematics, Federal University of Campina Grande, 58175-000 Cuité-PB, Brazil)

  • João Evangelista Franco do Carmo

    (Department of Mechanical Engineering, Federal University of Campina Grande, 58429-900 Campina Grande-PB, Brazil)

Abstract

Fluid flow in pipes plays an important role in different areas of academia and industry. Due to the importance of this kind of flow, several studies have involved circular cylindrical pipes. This paper aims to study fully developed internal laminar flow through a corrugated cylindrical duct, using the Galerkin-based integral method. As an application, we present a study using heavy oil with a relative density of 0.9648 (14.6 °API) and temperature-dependent viscosities ranging from 1715 to 13000 cP. Results for different fluid dynamics parameters, such as the Fanning friction factor, Reynolds number, shear stress, and pressure gradient, are presented and analyzed based on the corrugation number established for each section and aspect ratio of the pipe.

Suggested Citation

  • Valdecir Alves dos Santos Júnior & Severino Rodrigues de Farias Neto & Antonio Gilson Barbosa de Lima & Igor Fernandes Gomes & Israel Buriti Galvão & Célia Maria Rufino Franco & João Evangelista Franc, 2020. "Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method," Energies, MDPI, vol. 13(6), pages 1-13, March.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:6:p:1363-:d:332767
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    Cited by:

    1. Mehrdad Massoudi, 2021. "Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications 2020," Energies, MDPI, vol. 14(16), pages 1-4, August.

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