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Article

Hydrodynamic Entrance Length for Laminar Flow in Microchannels with Rectangular Cross Section

1
AIMEN—Northwest Association of Metallurgical Research, C/. Polígono Industrial de Cataboi SUR-PPI-2 (Sector 2) Parcela 3, O Porriño, 36418 Pontevedra, Spain
2
Centro de Estudos de Fenómenos de Transporte, Departamento de Engenharia Mecânica, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal
3
Centro de Matemática, Departamento de Matemática da Universidade do Minho, Campus de Azurém, 4800-058 Guimarães, Portugal
*
Author to whom correspondence should be addressed.
Academic Editors: Mehrdad Massoudi and Laura A. Miller
Fluids 2021, 6(7), 240; https://doi.org/10.3390/fluids6070240
Received: 20 July 2020 / Revised: 6 May 2021 / Accepted: 24 June 2021 / Published: 1 July 2021
(This article belongs to the Collection Feature Paper for Mathematical and Computational Fluid Mechanics)
This work presents a detailed numerical investigation on the required development length (L=L/B) in laminar Newtonian fluid flow in microchannels with rectangular cross section and different aspect ratios (AR). The advent of new microfluidic technologies shifted the practical Reynolds numbers (Re) to the range of unitary (and even lower) orders of magnitude, i.e., creeping flow conditions. Therefore, accurate estimations of L at ReO(1) are important for microsystem design. At such low Reynolds numbers, in which inertial forces are less dominant than viscous forces, flow characteristics become necessarily different from those at the macroscale where Re is typically much larger. A judicious choice of mesh refinement and adequate numerical methods allowed obtaining accurate results and a general correlation for estimating L, valid in the ranges 0Re2000 and 0.1AR1, thus covering applications in both macro and microfluidics. View Full-Text
Keywords: development length; 3D microchannels; newtonian fluid; effects of Reynolds number and aspect ratio; numerical methods; finite volume method development length; 3D microchannels; newtonian fluid; effects of Reynolds number and aspect ratio; numerical methods; finite volume method
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MDPI and ACS Style

Ferreira, G.; Sucena, A.; Ferrás, L.L.; Pinho, F.T.; Afonso, A.M. Hydrodynamic Entrance Length for Laminar Flow in Microchannels with Rectangular Cross Section. Fluids 2021, 6, 240. https://doi.org/10.3390/fluids6070240

AMA Style

Ferreira G, Sucena A, Ferrás LL, Pinho FT, Afonso AM. Hydrodynamic Entrance Length for Laminar Flow in Microchannels with Rectangular Cross Section. Fluids. 2021; 6(7):240. https://doi.org/10.3390/fluids6070240

Chicago/Turabian Style

Ferreira, Germán, Artur Sucena, Luís L. Ferrás, Fernando T. Pinho, and Alexandre M. Afonso 2021. "Hydrodynamic Entrance Length for Laminar Flow in Microchannels with Rectangular Cross Section" Fluids 6, no. 7: 240. https://doi.org/10.3390/fluids6070240

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