A slip model for rarefied gas flows at arbitrary Knudsen number

Wu, Lin

doi:10.1063/1.3052923

Cited by 256 publications

(138 citation statements)

References 5 publications

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“…From the above examples of the velocity and shear stress profiles, it is seen that the combination of the two slip parameters and the mass transfer can greatly change the fluid flow and the shear stresses on the sur-face and in the fluid. The introduction of the secondorder slip parameter can increase the wall slip velocity and reduce the wall drag, which is a better match to the real flow physics compared with the previous velocity slip models [21].…”

Section: Resultsmentioning

confidence: 92%

“…However, in these papers, only first-order Maxwell slip conditions were used. Recently, Wu [21] proposed a new secondorder slip velocity model which matches better with the Fukui-Kaneko results based on the direct numerical simulation of the linearized Boltzmann equation [22]. Most recently, this new slip model was applied to the flow over a shrinking sheet and significantly different flow behaviour was found compared with the firstorder slip velocity [23].…”

Section: Introductionmentioning

confidence: 99%

“…Wu's slip velocity model used in this paper is valid for arbitrary Knudsen numbers and is given as follows [21]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

See 2 more Smart Citations

Viscous Flow with Second-Order Slip Velocity over a Stretching Sheet

Fang

Aziz

2010

Zeitschrift Für Naturforschung A

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In this paper, viscous flow with a second-order slip condition over a permeable stretching surface is solved analytically. The current work differs from the previous studies in the application of a new second-order slip velocity model. The closed form solution reported is an exact solution of the full governing Navier-Stokes equations. The effects of slip and mass transfer parameters are discussed.

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Section: Resultsmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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Viscous Flow with Second-Order Slip Velocity over a Stretching Sheet

Fang

Aziz

2010

Zeitschrift Für Naturforschung A

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“…Beskok and Karniadakis (1999) suggested an improved second-order slip condition. For more details, readers are encouraged to read the papers by Srikanth (1969) and Wu (2008). Recently, Fang et al (2010) considered the effects of the second-order slip on the flow of a shrinking sheet.…”

Section: Introductionmentioning

confidence: 99%

Analytical and numerical studies on heat transfer of a nanofluid over a stretching/shrinking sheet with second-order slip flow model

Rashidi

Hakeem

Ganesh

et al. 2016

Int J Mech Mater Eng

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Background: The objective of the present study is to analyse the steady second-order slip flow and heat transfer of an incompressible viscous water-based nanofluid over a stretching/shrinking sheet both analytically and numerically. Methods: Using the scaling group transformations, a system of partial differential equations governing the flow and thermal fields is transformed into a system of ordinary differential equations. An exact solution to the momentum equation is obtained, and the solution of the energy equation is obtained in terms of a hypergeometric function for different water-based nanofluids containing Au, Ag, Cu, Al, Al

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“…The results showed that the slip function yields liquid holdup and pressure drop with an average absolute error of 17% and 19.5% whereas the error for double slit model is 20% and 18%. Wu (2008) present a slip model for rarefied gas flows at arbitrary Knudsen number. studied viscous flow over a shrinking sheet with a second order slip flow model.…”

Section: Introductionmentioning

confidence: 99%

Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects

Uddin¹,

Alginahi²,

Bég³

et al. 2016

Computers & Mathematics with Applications

126

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Abstract:A mathematical model is developed to examine the effects of the Stefan blowing, second order velocity slip, thermal slip and microorganism species slip on nonlinear bioconvection boundary layer flow of a nanofluid over a horizontal plate embedded in a porous medium with the presence of passively controlled boundary condition. Scaling group transformations are used to find similarity equations of such nanobioconvection flows. The similarity equations are numerically solved with a Chebyshev collocation method. Validation of solutions is conducted with a Nakamura tri-diagonal finite difference algorithm. The effects of nanofluid characteristics and boundary properties such as the slips, Stefan blowing, Brownian motion and Grashof number on the dimensionless fluid velocity, temperature, nanoparticle volume fraction, motile microorganism, skin friction, the rate of heat transfer and the rate of motile microorganism transfer are investigated. The work is relevant to bio-inspired nanofluidenhanced fuel cells and nano-materials fabrication processes.

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A slip model for rarefied gas flows at arbitrary Knudsen number

Cited by 256 publications

References 5 publications

Viscous Flow with Second-Order Slip Velocity over a Stretching Sheet

Viscous Flow with Second-Order Slip Velocity over a Stretching Sheet

Analytical and numerical studies on heat transfer of a nanofluid over a stretching/shrinking sheet with second-order slip flow model

Numerical solutions for gyrotactic bioconvection in nanofluid-saturated porous media with Stefan blowing and multiple slip effects

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