Hydrodynamic development of a laminar velocity field in rectangular channels

Muchnik, G. F.; Solomonov, S. D.; Gordon, A. R.

doi:10.1007/bf00834770

Cited by 12 publications

(2 citation statements)

References 5 publications

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“…Regarding numerical studies for rectangular ducts and parallel plate channels, results found by groups, such as Han [ 54 ], Fleming and Sparrow [ 55 ], Atkinson et al [ 56 ], Wiginton and Dalton [ 57 ], and Chen [ 58 ], are considered to relatively standardly and accurately analyze the entrance length. Many entrance length studies for circular ducts have also been investigated by some groups, such as Sparrow et al [ 59 ], Goldstein and Kreid [ 60 ], Beavers et al [ 61 ], and Muchnik et al [ 62 ].…”

Section: Simulation Results and Discussionmentioning

confidence: 99%

Lattice Boltzmann Simulation of the Hydrodynamic Entrance Region of Rectangular Microchannels in the Slip Regime

Duan

et al. 2018

Micromachines

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Developing a three-dimensional laminar flow in the entrance region of rectangular microchannels has been investigated in this paper. When the hydrodynamic development length is the same magnitude as the microchannel length, entrance effects have to be taken into account, especially in relatively short ducts. Simultaneously, there are a variety of non-continuum or rarefaction effects, such as velocity slip and temperature jump. The available data in the literature appearing on this issue is quite limited, the available study is the semi-theoretical approximate model to predict pressure drop of developing slip flow in rectangular microchannels with different aspect ratios. In this paper, we apply the lattice Boltzmann equation method (LBE) to investigate the developing slip flow through a rectangular microchannel. The effects of the Reynolds number (1 < Re < 1000), channel aspect ratio (0 < ε < 1), and Knudsen number (0.001 < Kn < 0.1) on the dimensionless hydrodynamic entrance length, and the apparent friction factor, and Reynolds number product, are examined in detail. The numerical solution of LBM can recover excellent agreement with the available data in the literature, which proves its accuracy in capturing fundamental fluid characteristics in the slip-flow regime.

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Section: Simulation Results and Discussionmentioning

confidence: 99%

Lattice Boltzmann Simulation of the Hydrodynamic Entrance Region of Rectangular Microchannels in the Slip Regime

Duan

et al. 2018

Micromachines

View full text Add to dashboard Cite

show abstract

“…Numerous experimental studies with Newtonian fluids undergoing laminar flow in conventional macro-scale ducts have found the entrance length scales linearly with the Reynolds number (Re) (e.g. Atkinson et al 1969;Beavers et al 1970;Chen 1973;Muchnik et al 1973). More recent numerical work by Durst et al (2005) has shown that linear correlations may only be accurate at as Re → 0 or as Re → ∞ and may deviate over an intermediate range 1 ≲ Re ≲ 100.…”

Section: Introductionmentioning

confidence: 99%