Journal ArticleDOI
Stokes slip flow between corrugated walls
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Stokes flow between corrugated plates in microdomains has been analyzed using a perturbation method using the incompressible Navier-Stokes equations, but the velocity-slip is present along the solid-fluid interface.Abstract:
Stokes flow between corrugated plates in microdomains has been analyzed using a perturbation method. This approach used the incompressible Navier-Stokes equations, but the velocity-slip is present along the solid-fluid interface. For the slip flow regime, if we introduce Knudsen number (Kn) herein, 0.01 ≤Kn≤ 0.1, the total flow rate is increasing as a ratio of 1 + 6Knto no-slip Stokes flow. If we consider fixedKncases, the corrugations still decrease the flow rate, consideringO(e2) terms, and the decrease is maximum as the phase shift becomes 180 °.read more
Citations
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Slip effects on the peristaltic flow of a non-Newtonian Maxwellian fluid
TL;DR: In this paper, the effect of slip boundary conditions on the dynamics of fluids in porous media by studying the flow of a Newtonian and non-Newtonian Maxwellian fluid in an axisymmetric cylindrical tube (pore), in which the flow is induced by traveling transversal waves on the tube wall.
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Surface roughness and effective stick-slip motion
TL;DR: The effect of random surface roughness on hydrodynamics of viscous incompressible liquid is discussed and the maximum on the frequency dependence of the dissipation allows one to extract the correlation radius (characteristic size) of the surface inhomogeneities directly from, for example, experiments with torsional quartz oscillators.
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Slip Effects on the Peristaltic Flow of a Third Grade Fluid in a Circular Cylindrical Tube
TL;DR: In this article, a peristaltic flow of a third grade fluid in a circular cylindrical tube is undertaken when the no-slip condition at the tube wall is no longer valid, and the governing nonlinear equation together with nonlinear boundary conditions are solved analytically by means of the perturbation method for small values of the Debroah number.
Journal ArticleDOI
Unsteady gaseous flows in rectangular microchannels: frequency response of one or two pneumatic lines connected in series
TL;DR: In this paper, the effect of depth and aspect ratios of the cross-section of a gaseous flow in a rectangular microchannel under usual pressure and temperature conditions is investigated. But the authors focus essentially on the pulsed sinusoidal regime, and the instantaneous flow rate amplitude and band pass of the microchannel are underestimated when slip at the walls is not taken into account.
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Modeling of surface roughness effects on Stokes flow in circular pipes
TL;DR: In this article, the effects of periodically structured surface roughness upon flow field and pressure drop in a circular pipe at low Reynolds numbers were investigated. But the authors focused on the effect of roughness on fully developed Stokes flow in the pipe.
References
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Book
Rarefied Gas Dynamics
TL;DR: In this paper, the authors present a simulation of a free jet expansion of a high-energy scattering of molecular beams in the presence of high-temperature Viscosity cross sections.
Journal ArticleDOI
Gas flow in micro-channels
TL;DR: In this article, an experimental and theoretical investigation of low Reynolds number, high subsonic Mach number, compressible gas flow in channels was presented, and the measured friction factor was in good agreement with theoretical predictions assuming isothermal, locally fully developed, first-order slip flow.
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Numerical Evaluation of the Slip Coefficient
TL;DR: In this article, a numerical quadrature using the exact analytical formula, which is obtained from the Gross-Bhatnagar-Krook model, was used to evaluate the slip coefficient.