Mass transport in a novel two‐fluid taylor vortex extractor

Baier, Gretchen; Graham, Michael D.; Lightfoot, E. N.

doi:10.1002/aic.690461208

Cited by 52 publications

(24 citation statements)

References 49 publications

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“…Figure 3 shows the effect of interface position for 21 ϭ0.69 and several Ekman numbers. Unless otherwise specified, the results are for operating conditions representative of our current experimental apparatus: 13 ing the Ekman number is stabilizing, as found in our earlier work, 2 and ͑2͒ the less viscous phase is the unstable phase until a critical thinness of that layer. The vortices remain approximately square and the axial wave number indicates which phase is unstable.…”

Section: ͑5͒mentioning

confidence: 77%

“…However, at finite amplitude, two commercial computational fluid dynamics codes ͑FLUENT and FIDAP, Fluent, Inc., Lebanon, NH͒ predict that the vortex pattern can change to a stable corotation state; i.e., the sign of the axial velocity ͑relative to the velocity of the interface͒ changes across the interface. 13 Recall that Toya and Nakamura 19 observed a similar behavior in axially stratified two-fluid Couette flow. Since our linear stability analysis is valid only at the onset of two-fluid Taylor-Couette flow, it cannot directly determine supercritical flow behavior.…”

Section: ͑5͒mentioning

confidence: 87%

“…12 In a companion paper experimental and theoretical results for inter-and intraphase mass transfer are presented and indicate that twofluid Taylor-Couette flow with countercurrent axial flow is a very promising configuration for an extraction process. 13 Joseph et al have investigated the stability of rigid rotation of two centrifugally stratified fluids between coaxial cylinders, in the absence of gravity. 14 They find that a rigid interface is linearly stable when J i Ͼ1 and is globally stable when J i Ͼ4, where…”

Section: Introductionmentioning

confidence: 99%

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Two-fluid Taylor-Couette flow with countercurrent axial flow: Linear theory for immiscible liquids between corotating cylinders

Baier

Graham

2000

Physics of Fluids

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We computationally investigate the stability of a pair of radially stratified immiscible liquids undergoing countercurrent axial flow in the annular gap between rapidly corotating coaxial cylinders: two-fluid Taylor-Couette flow with counterflow. A simple analysis determines conditions under which a nearly cylindrical interface is maintained in the presence of counterflow ͑i.e., axial pressure gradients͒. Stability analysis reveals that for small axial Reynolds numbers, the flow is slightly stabilized against Taylor-Couette instability, consistent with results for a single phase. At axial Reynolds numbers greater than about ten, however, the flow is susceptible to a ͑generally nonaxisymmetric͒ Kelvin-Helmholtz instability, which precedes the Taylor-Couette mode. Furthermore, new results are presented for the case without axial flow. A bifurcation to vortices that corotate with their counterparts in the other phase is found. Finally, limitations of the generalized Rayleigh criterion developed in our earlier work are elucidated. In particular, we show how it fails if one of the fluid layers is very thin.

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Section: ͑5͒mentioning

confidence: 77%

Section: ͑5͒mentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

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Two-fluid Taylor-Couette flow with countercurrent axial flow: Linear theory for immiscible liquids between corotating cylinders

Baier

Graham

2000

Physics of Fluids

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“…In biotechnology, the performance of bioreactor can be enhanced by focusing on mixing process necessary to expose as much substrate possible to the active site of the catalysts used [1,2]. Most common types of bioreactors adopted by industry are packed-or fluidized-bed reactors in which solid particles with biocatalysts attached onto their outer surface are used [3,4].…”

Section: Introductionmentioning

confidence: 99%

Mass transport enhancement in annular-shaped lid-driven bioreactor

Al-Shannag

2011

Bioprocess Biosyst Eng

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The current study investigated numerically the two-dimensional (2D) incompressible flow and mass transfer in a lid-driven cavity of annular geometry accompanied by enzymatic surface-reactions. The lid-driven bioreactor had a square cross-section of (H × H) and a radius of curvature of r (c). This flow configuration gives the opportunity to evaluate effects of curvature as well as operational parameters on the bioreactor performance. For forced-convection, conservation equations were solved numerically, using fourth-order finite volume schemes, to identify the 2D flow structure and concentration distribution of substrate within the bioreactor. For pure diffusion, analytical solution was obtained. Substrate transfer rates were presented in terms of Sherwood number. While, effectiveness factor was computed to evaluate the force-convection contribution over pure molecular diffusion. Mass-transfer against surface-reaction resistance was estimated via Damkohler number. Results indicate the positive role of increasing Peclet number, Reynolds number, and radius of curvature in enhancing the substrate transport process.

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“…2002a or the novel two-fluid without dispersion Taylor vor-Ž . tex extractor described by Baier et al 2000 .…”

Section: Introductionmentioning

confidence: 99%

Optimum photolysis in Taylor–Couette flow

Forney

Pierson

2003

AIChE Journal

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Photolysis was studied in Taylor ᎐ Couette flow, and a similarity law proposed for the formation of a product from a fast photochemical reaction in the presence of laminar Taylor ®ortices. The concentration of the product formed depended on both the dosage of photons and a reaction-layer thickness, defined by the radiation penetration depth. In particular, for a gi®en flow rate and radiation intensity, the UV photolysis of iodide produced a maximum concentration of the product triiodide, when the radiation penetration depth was equal to the ®elocity boundary-layer thickness. The latter conclusion pro®ides optimum operating conditions to maximize yield in terms of the Taylor number or frequency of rotation.

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Mass transport in a novel two‐fluid taylor vortex extractor

Abstract: Flow instabilities occum'ng in rotatingflows can

Cited by 52 publications

References 49 publications

Two-fluid Taylor-Couette flow with countercurrent axial flow: Linear theory for immiscible liquids between corotating cylinders

Two-fluid Taylor-Couette flow with countercurrent axial flow: Linear theory for immiscible liquids between corotating cylinders

Mass transport enhancement in annular-shaped lid-driven bioreactor

Optimum photolysis in Taylor–Couette flow

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