An investigation of laminar radial flow between two parallel discs

Jackson, J. D.; Symmons, G.R.

doi:10.1007/bf00411546

Cited by 39 publications

(21 citation statements)

References 6 publications

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“…In the creeping flow regime, this velocity profile can be computed analytically. 19,20 Along the z direction, the profile is parabolic whereas it decays as 1/r with the radial coordinate. Explicitly, the expression of radial velocity reads where q is the flow rate and the walls of the cell are located at z = ± b 2 .…”

Section: B Mechanism Proposed: Destabilization Due To Convectionmentioning

confidence: 99%

Experimental study of a buoyancy-driven instability of a miscible horizontal displacement in a Hele-Shaw cell

et al. 2014

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When a given fluid displaces another less viscous miscible one in a horizontal HeleShaw cell, the displacement is stable from the viscous point of view. Nevertheless, thin stripes perpendicular to the moving interface can be observed in the mixing zone between the fluids both in rectilinear and radial displacements. This instability is due to buoyancy effects within the gap of the cell which develop because of an unstable density stratification associated with the underlying concentration profile. To characterize this buoyancy-driven instability and the related striped pattern, we perform a parametric experimental study of viscously stable miscible displacements in a horizontal Hele-Shaw cell with radial injection. We analyze the influence of the flow rate, the thickness of the gap, and the relative physical fluid properties on the development and characteristics of the instability. C ⃝ 2014 AIP Publishing LLC.

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Section: B Mechanism Proposed: Destabilization Due To Convectionmentioning

confidence: 99%

Experimental study of a buoyancy-driven instability of a miscible horizontal displacement in a Hele-Shaw cell

et al. 2014

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“…At low Reynolds number viscous flows, the presence of accelerations in the radial inlet region produces significant inertia effects. For the special case of steady, incompressible, and purely radial flow between parallel plates, studies [2,3,5] have shown the existence of a depressed pressure region due to these additional effects. For example, the analysis by Livesey [5] provides an approximate radial pressure distribution of the form…”

Section: Basic Air Film Surfacementioning

confidence: 99%

“…The net attraction force stems from the infiuence of the suction-generating or BernoulU flow phenomenon [2,3]. Here, we call it the "axiradial" elfect because of its particular operative flow geometry.…”

Section: Basic Air Film Surfacementioning

confidence: 99%

Air Film System for Handling Semiconductor Wafers

Paivanas

Hassan

1979

IBM J. Res. & Dev.

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In an automated fabrication facility, the thin, fragile silicon wafers in which semiconductor circuits are formed must be transported to and from processing stations with a minimum of contact with other solid objects so as to minimize damage, contamination, and consequent lowering of product yield. This task has been undertaken for some time now, in IBM and elsewhere, by systems based on a lubricating film of air as a means for levitating and moving wafers. However, due to inherent motion instabilities and specific control needs, some solid contact is typically involved in effecting prescribed wafer motion. The need for solid contact control is greatly reduced by the air film system described in this paper. It is based on a surface configuration that combines two fluid mechanics phenomena to generate a supporting air film that provides and guides wafer motion. Wafer transportation and positioning are achieved with the air film operating in confiinction with special control device techniques.

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“…[9][10][11][12][13][14], which means that their models become invalid when the Mach number exceeds 0.3. Based on the above-mentioned studies, Li and Kagawa theoretically separated the inertial effect (i.e., the deceleration of the air flow) and the viscous effect, and compared their effects on the suction force.…”

Section: Theoretical Modelingmentioning

confidence: 99%

Optimization of outer diameter of Bernoulli gripper

Shi

2016

Experimental Thermal and Fluid Science

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An investigation of laminar radial flow between two parallel discs

Cited by 39 publications

References 6 publications

Experimental study of a buoyancy-driven instability of a miscible horizontal displacement in a Hele-Shaw cell

Experimental study of a buoyancy-driven instability of a miscible horizontal displacement in a Hele-Shaw cell

Air Film System for Handling Semiconductor Wafers

Optimization of outer diameter of Bernoulli gripper

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