Boundary velocity slip of pressure driven liquid flow in a micron pipe

Zhou, Jianfeng; Bo-qin, GU; Shao, Changzheng

doi:10.1007/s11434-010-4188-y

Cited by 9 publications

(4 citation statements)

References 15 publications

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“…Zhou J. et al investigated boundary velocity slip of pressure driven liquid flow in a micron-pipe. Their investigation reveals that a small velocity slip may occur when the pressure gradient is relatively large, and this results to errors in the micron-pipe flow estimates (Zhou J.F., Gu B.Q and Shao C.L., 2011).…”

Section: Issn: 2488-9229 Federal University Gusau-nigeriamentioning

confidence: 99%

Suction/Injection Effects on Pulsating Poiseuille Basic Gaseous Fluctuating-Micro-Flows

Sani¹,

Jibril

2022

IJSGS

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The pulsating Poiseuille fluctuating-micro-flow where the fluid flow is initiated by sinusoidal pressure gradient is investigated in this study. The flow problem is modelled and the analytical solution is obtained. The effect of suction/injection and that of other leading flow parameters such as the frequency of the fluctuating driving force, the Knudsen number and the unsteadiness are analyzed. It is found from the study that the effect of suction and that of injection are observed to be opposite; suction leads to increase while injection leads to decrease in velocity of the moving fluid.

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Section: Issn: 2488-9229 Federal University Gusau-nigeriamentioning

confidence: 99%

Suction/Injection Effects on Pulsating Poiseuille Basic Gaseous Fluctuating-Micro-Flows

Sani¹,

Jibril

2022

IJSGS

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“…In these devices, the microfluidic gas flow in a small-scale gas film between two parallel plates is the subject of many studies. Because of the thin gas in the film, velocity slip occurs at the interface, which causes the gas flow pattern to change in the lubricating film (Zhou et al , 2011). Research on velocity boundary slip has experienced the development of the without-slipping-velocity boundary condition (Bernoulli, 1738), linear slip condition hypothesis (Navier,1823) and the approximate constitutive equations for slip (Maxwell, 1879).…”

Section: Introductionmentioning

confidence: 99%

Gas flow mechanism and pressure analysis in plates in micro scale gas film

Wei

et al. 2019

ILT

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PurposeThe purpose of this paper is to develop the micro-electro-mechanical systems (MEMS) technology has created the conditions for the study of microfluidic technology. Microfluidic technology has become a very large branch in the MEMS field over the past decade. For aerostatic thrust bearing, the micro-fluidic gas flow in a small-scale gas film between two parallel plates is the subject of many studies. Because of the thin gas in the film, velocity slip occurs at the interface, which causes the gas flow pattern to change in the lubricating film. So, it is important to clarify the mechanism and pressure characteristics in thin firm gas flow.Design/methodology/approachFirst, a new assumption and corresponding models for the flow regime were established by theoretical analysis. Second, computational simulations about pressure distribution and velocity were given by a large-scale atomic/molecular massively parallel simulator (LAMMPS). Third, comparison of the results of LAMMPS simulation and direct simulation Monte Carlo calculation were made to verify the reliability of above results.FindingsThe gas flow mechanism and corresponding regulations are significantly different from traditionalpneumodynamics, which can be described by Navier–Stokes equations accurately. Combining theatrical study and computational results, the stratification theory of the gas film was verified. The research shows that when the gas flow rate increased, the pressure of the gas film decreased, the thickness of the continuous flow layer increased, the thickness of the thin layer decreased and the layered pressure in the gas film disappeared. In this case, velocity slippage could be ignored.Originality/valueFirst, this paper established an analytical model of the gas film support and proposed a film stratification theory. The gas film was divided into the near wall layer, the thin layer and the continuous layer, which was proved by the calculation of LAMMPS flow simulation. The velocity slip boundary conditions theory is feasible. Second, the gas film size of the flat plate is at the micron level, which cannot be observed in its flow regimen, only determined by calculation and simulation. This paper proposes a new model and a new tool to analyze gas flow in gas films.

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“…When the thickness of gas film is reduced to a micron level, velocity slipping will be produced on the surface of walls, which is caused by the rarefied gas effect. Velocity slipping significantly changes the inside of the gas film pressure distribution, load capacity and stiffness characteristics (Zhou et al, 2011). In addition, the numerical analysis shows that gas in the film is also influenced by viscosity effect under the condition of the rarefied gas (Zhang et al, 2013).…”

mentioning

confidence: 99%

Analysis of velocity slipping at wall boundary under rarefied gas condition based on the effect of viscosity

Yang

Wei

Ning

2018

ILT

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Purpose Velocity slipping model, based on the stratification theory (the film in inflatable support area of aerostatic guide way was divided into near wall layer, thin layer and continuous flow layer in the direction of height), was established, and the model was combined with viscosity changes in each layer. Design/methodology/approach Simulated and analyzed by LAMMPS and two-dimensional molecular dynamics method, some relevant conclusions were drawn. Findings At a high temperature, viscosity is low, velocity slipping is large and velocity gaps in near-wall layer and thin layer are large. When the temperature is constant, the dimensionless slipping length and Kn number are linear. Research limitations/implications The effect of the equivalent viscosity on gas slipping model is proposed. viscosity is smaller, gas velocity slipping is greater, temperature is higher, gas velocity slipping is greater, velocity gap of near wall layer and thin layer is larger. When the temperature is constant, the dimensionless slipping length ls and Kn number are linear. Originality/value The global model of lubricating film velocity slipping between plates was established, and mathematical expression of slipping model in each layer, based on the stratification theory, was presented.

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Boundary velocity slip of pressure driven liquid flow in a micron pipe

Cited by 9 publications

References 15 publications

Suction/Injection Effects on Pulsating Poiseuille Basic Gaseous Fluctuating-Micro-Flows

Suction/Injection Effects on Pulsating Poiseuille Basic Gaseous Fluctuating-Micro-Flows

Gas flow mechanism and pressure analysis in plates in micro scale gas film

Analysis of velocity slipping at wall boundary under rarefied gas condition based on the effect of viscosity

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