An experimental study of mass transfer in rotating couette flow with low axial reynolds number

Strong, A. B.; Carlucci, L.N.

doi:10.1002/cjce.5450540409

Cited by 14 publications

(7 citation statements)

References 7 publications

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“…The radial mass-transfer coefficient is k, the inner and outer cylinder radii R , and R,, the gap width d = R Z -R , , the diffusion coefficient D, the rotation rate of the inner cylinder C l , , and the kinematic viscosity v = p/p. The majority of the experiments conclude that A = 0.4-0.9, (I = 1/2, and h = 1/3 (Cocurct and Legrand, 1981;Cohen and Marom, 1983;Holeschovsky and Cooney, 1991;Ruess, 1975: Strong andCarlucci, 1976). Similar results are reported for Dean vortices in a helical tube (Gehlert et al, 1999).…”

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confidence: 54%

Mass transport in a novel two‐fluid taylor vortex extractor

2000

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supporting

confidence: 54%

Mass transport in a novel two‐fluid taylor vortex extractor

2000

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“…If axially-propagating axisymmetric Taylor-like vortices remain stable in a large range of Ta when a small mean axial pressure gradient is superimposed, then flow in a wide-gap or small-η annulus driven by cylinder rotation and an axial pressure gradient will be of interest where laminar (and particularly, steady and axisymmetric) heat or mass transfer at rates in excess of the diffusive rate associated with Couette flow is desired. The laminar nature of the flow is especially important for mixing in a number of biomedical and biotechnology applications, where turbulent shear is associated with cell damage (Strong & Carlucci 1976;Resende et al 2001).…”

Section: Introductionmentioning

confidence: 99%

Linear stability of spiral and annular Poiseuille flow for small radius ratio

Cotrell

Pearlstein

2006

J. Fluid Mech.

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For the radius ratio $\eta\,{\equiv}\,R_i/R_o\,{=}\,0.1$ and several rotation rate ratios $\mu\,{\equiv}\,\Omega_o/\Omega_i$, we consider the linear stability of spiral Poiseuille flow (SPF) up to ${\hbox {\it Re}}\,{=}\,10^5$, where $R_i$ and $R_o$ are the radii of the inner and outer cylinders, respectively, ${\hbox {\it Re}}\,{\equiv}\,\overline V_Z(R_o\,{-}R_i)/\nu$ is the Reynolds number, $\Omega_i$ and $\Omega_o$ are the (signed) angular speeds of the inner and outer cylinders, respectively, $\nu$ is the kinematic viscosity, and $\overline V_Z$ is the mean axial velocity. The Re range extends more than three orders of magnitude beyond that considered in the previous $\mu\,{=}\,0$ work of Recktenwald et al. (Phys. Rev. E, vol. 48, 1993, p. 444). We show that in the non-rotating limit of annular Poiseuille flow, linear instability does not occur below a critical radius ratio $\hat\eta\,{\approx}\,0.115$. We also establish the connection of the linear stability of annular Poiseuille flow for $0\,{<}\,\eta\,{\leq}\,\hat\eta$ at all Re to the linear stability of circular Poiseuille flow ($\eta\,{=}\,0$) at all Re. For the rotating case, with $\mu\,{=}\,{-}1$, ${-}\,0.5$, ${-}\,0.25$, 0 and 0.2, the stability boundaries, presented in terms of critical Taylor number ${\hbox {\it Ta}}\,{\equiv}\,\Omega_i(R_o\,{-}R_i)^2/\nu$ versus Re, show that the results are qualitatively different from those at larger $\eta$. For each $\mu$, the centrifugal instability at small Re does not connect to a high-Re Tollmien–Schlichting-like instability of annular Poiseuille flow, since the latter instability does not exist for $\eta\,{<}\,\hat\eta$. We find a range of Re for which disconnected neutral curves exist in the $k$–Ta plane, which for each non-zero $\mu$ considered, lead to a multi-valued stability boundary, corresponding to two disjoint ranges of stable Ta. For each counter-rotating ($\mu\,{<}\,0$) case, there is a finite range of Re for which there exist three critical values of Ta, with the upper branch emanating from the ${\hbox {\it Re}}\,{=}\,0$ instability of Couette flow. For the co-rotating ($\mu\,{=}\,0.2$) case, there are two critical values of Ta for each Re in an apparently semi-infinite range of Re, with neither branch of the stability boundary intersecting the Re = 0 axis, consistent with the classical result of Synge that Couette flow is stable with respect to all small disturbances if $\mu\,{>}\,\eta^2$, and our earlier results for $\mu\,{>}\,\eta^2$ at larger $\eta$.

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“…The critical Taylor number indicating flow stability depends on the axial flow rate (Taylor, 1923;Kataoka, 1986). That is, a Taylor vortex regime is stabilized when increasing the axial flow rate (axial Reynolds number), which reduces the hydrodynamic effect of the Taylor vortex on the mass transfer and mixing, as suggested by the Sherwood number correlation (Strong and Carlucci, 1976). Therefore, feeding mode IV provides a high regional mass transfer rate for the phase transformation of the amorphous solid into hydrate crystals, achieving complete conversion even with a short mean residence time of 2.5 min.…”

Section: Operating Flexibility Of Taylor Crystallizermentioning

confidence: 98%

Application of Taylor Vortex to Crystallization

Kim

2014

J. Chem. Eng. Japan / JCEJ

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This study summarizes crystallization technology when using a Taylor vortex ow. A Taylor vortex is created in the gap between two co-axially positioned cylinders based on the rotation of the inner cylinder. Due to its unique periodic ow motion, a Taylor vortex has a signi cant in uence on the processes of nucleation, growth, and agglomeration breakage in various crystallizations, including reaction recrystallization, drowning-out crystallization, and cooling crystallization. In the gas-liquid reaction crystallization of calcium carbonate, the mass transfer at the gas-liquid interface is greatly facilitated by a Taylor vortex, resulting in small crystals with a uniform size and morphology. Further, due to molecular alignment by the periodic Taylor vortex motion, the polymorphic nucleation of stable crystals is also promoted. This e ect of molecular alignment by a Taylor vortex is demonstrated by the phase transformation of sulfamerazine. Furthermore, the Taylor vortex ow in a Taylor crystallizer improves the productivity of crystallization when compared with the random turbulent eddy ow in an MSMPR crystallizer. Consequently, the high performance of a Taylor crystallizer using a Taylor vortex has strong potential for application to various crystallizations.

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An experimental study of mass transfer in rotating couette flow with low axial reynolds number

Cited by 14 publications

References 7 publications

Mass transport in a novel two‐fluid taylor vortex extractor

Mass transport in a novel two‐fluid taylor vortex extractor

Linear stability of spiral and annular Poiseuille flow for small radius ratio

Application of Taylor Vortex to Crystallization

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