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

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

Content Provider	MDPI
Author	Lu, ís Ferrás Ferreira, Germán Sucena, Artur Pinho, Fernando Afonso, Alexandre
Copyright Year	2021
Abstract	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 ( $A R$ ). The advent of new microfluidic technologies shifted the practical Reynolds numbers ( $R e$ ) to the range of unitary (and even lower) orders of magnitude, i.e., creeping flow conditions. Therefore, accurate estimations of $L$ at $R e \leq O (1)$ 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 $R e$ 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 $0 \leq R e \leq 2000$ and $0.1 \leq A R \leq 1$ , thus covering applications in both macro and microfluidics.
Starting Page	240
e-ISSN	23115521
DOI	10.3390/fluids6070240
Journal	Fluids
Issue Number	7
Volume Number	6
Language	English
Publisher	MDPI
Publisher Date	2021-07-01
Access Restriction	Open
Subject Keyword	Fluids Development Length 3d Microchannels Newtonian Fluid Effects of Reynolds Number and Aspect Ratio Numerical Methods Finite Volume Method
Content Type	Text
Resource Type	Article

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