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Two-fluid Taylor-Couette flow with countercurrent axial flow: Linear theory for immiscible liquids between corotating cylinders
1.G. I. Taylor, “Stability of a viscous liquid contained between two rotating cylinders,” Philos. Trans. R. Soc. London, Ser. A 223, 289 (1923).
2.G. Baier and M. D. Graham, “Two-fluid Taylor-Couette flow: Experiments and linear theory for immiscible liquids between corotating cylinders,” Phys. Fluids 10, 3045 (1998).
3.S. Cohen and D. M. Marom, “Experimental and theoretical study of a rotating annular flow reactor,” Chem. Eng. J. 27, 87 (1983).
4.U. B. Holeschovsky and C. L. Cooney, “Quantitative description of ultrafiltration in a rotational filtration device,” AIChE. J. 37, 1219 (1991).
5.G. Iosilevskii, H. Brenner, C. M. V. Moore, and C. L. Cooney, “Mass transport and chemical reaction in Taylor vortex flows with entrained catalyst particles: applications to a novel class of immobilized enzyme biochemical reactors,” Philos. Trans. R. Soc. London, Ser. A 345, 259 (1993).
6.D. A. Janes, N. H. Thomas, and J. A. Callow, “Demonstration of a bubble free annular vortex membrane bioreactor for batch culture of red beet cells,” Biotechnol. Tech. 1, 257 (1987).
7.K. H. Kroner, V. Nissinen, and H. Ziegler, “Improved dynamic filtration of microbial suspensions,” Bio/Technology 5, 921 (1987).
8.K. H. Kroner and V. Nissinen, “Dynamic filtration of microbial suspensions using and axially rotating filter,” J. Membr. Sci. 36, 85 (1988).
9.T. Murase, E. Iritani, P. Chidphong, K. Kano, K. Atsumi, and M. Shirato, “High-speed microfiltration using a rotating cylindrical ceramic membrane,” Int. Chem. Eng. 31, 370 (1991).
10.J. G. Schechowskii, C. A. Koval, and R. D. Noble, “A Taylor vortex reactor for heterogeneous photocatalysis,” Chem. Eng. Sci. 50, 3163 (1995).
11.H. Winzeler and G. Belfort, “Enhanced performance for pressure-driven membrane processes: the argument for fluid instabilities,” J. Membr. Sci. 80, 35 (1993).
12.N. L. Abbott and T. A. Hatton, “Liquid-liquid extraction for protein separations,” Chem. Eng. Prog. Aug, 31 (1988).
13.G. Baier, M. D. Graham, and E. N. Lightfoot, “Mass transport in a novel two-fluid Taylor vortex extractor,” to appear in AIChE. J.
14.D. D. Joseph, Y. Renardy, M. Renardy, and K. Nguyen, “Stability of rigid motions and rollers in bicomponent flows of immiscible liquids,” J. Fluid Mech. 153, 151 (1985).
15.Y. Renardy and D. D. Joseph, “Couette flow of two fluids between concentric cylinders,” J. Fluid Mech. 150, 381 (1985).
16.D. D. Joseph, K. Nguyen, and G. S. Beavers, “Non-uniqueness and stability of the configuration of flow of immiscible fluids with different viscosities,” J. Fluid Mech. 141, 319 (1984).
17.D. D. Joseph, and Y. Y. Renardy, Fundamentals of Two-Fluid Dynamics. Part 1: Mathematical Theory and Applications (Springer-Verlag, New York, 1993).
18.R. J. Campero and R. D. Vigil, “Flow patterns in liquid-liquid Taylor-Couette-Poiseuille flow,” Ind. Eng. Chem. Res. 38, 1094 (1999).
19.Y. Toya and I. Nakamura, “Instability of two-fluid Taylor vortex flow,” Trans. Jpn. Soc. Mech. Eng., Ser. B 63, 35 (1997).
20.C. S. Yih, “Instability due to viscosity stratification,” J. Fluid Mech. 27, 337 (1962).
21.C. T. Gallagher, D. T. Leighton, and M. J. McCready, “Experimental investigation of a two-layer shearing instability in a cylindrical Couette cell,” Phys. Fluids 8, 2385 (1996).
22.P. G. Drazin and W. H. Reid, Hydrodynamic Stability (Cambridge U.P., Cambridge, 1981).
23.A. E. Hosoi and L. Mahadevan, “Axial instability of a free-surface front in a partially filled horizontal rotating cylinder,” Phys. Fluids 11, 97 (1999).
24.S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1981).
25.B. S. Ng and E. R. Turner, “On the linear stability of spiral flow between rotating cylinders,” Proc. R. Soc. London, Ser. A 382, 83 (1982).
26.T. Howes and M. Rudman, “Flow and axial dispersion simulation for travelling axisymmetric Taylor vortices,” AIChE. J. 44, 255 (1998).
27.R. C. Giordano, R. L. C. Giordano, D. M. F. Prazeres, and C. L. Cooney, “Analysis of a Taylor-Poiseuille vortex flow reactor- I: Flow patterns and mass transfer characteristics,” Chem. Eng. Sci. 53, 3635 (1998).
28.D. I. Takeuchi and D. F. Jankowski, “A numerical and experimental investigation of the stability of spiral Poiseuille flow,” J. Fluid Mech. 102, 101 (1981).
29.H. A. Snyder, “Experiments on the stability of spiral flow at low axial Reynolds numbers,” Proc. R. Soc. London, Ser. A 265, 198 (1962).
30.R. J. Donnelly and D. Fultz, “Experiments on the stability of spiral flow between corotating cylinders,” Proc. Natl. Acad. Sci. USA 46, 1150 (1960).
31.R. M. Lueptow, A. Docter, and K. Min, “Stability of axial flow in an annulus with a rotating inner cylinder,” Phys. Fluids A 4, 2446 (1992).
32.A. Y. Weisberg, I. G. Kevrekidis, and A. J. Smits, “Delaying transition in Taylor-Couette flow with axial motion of the inner cylinder,” J. Fluid Mech. 348, 141 (1997).
33.F. Marques and J. M. Lopez, “Taylor-Couette flow with axial oscillations of the inner cylinder: Floquet analysis of the basic flow,” J. Fluid Mech. 348, 153 (1997).
34.M. D. Graham, “Effect of axial flow on viscoelastic Taylor-Couette instability,” J. Fluid Mech. 360, 341 (1998).
35.V. V. Ramanan, K. A. Kumar, and M. D. Graham, “Stability of viscoelastic shear flows subjected to steady or oscillatory transverse flow,” J. Fluid Mech. 379, 255 (1999).
36.C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1988).
37.B. S. Garbow, “Algorithm 535: the QZ algorithm to solve the generalized eigenvalue problem for complex matrices,” ACM Trans. Math. Softw. 4, 404 (1978).
38.J. Guckenheimer and P. J. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (corrected second printing (Springer-Verlag, New York, 1986).
39.L. G. Leal, Laminar Flow and Convective Transport Processes (Butterworth-Heinemann, Boston, 1992).
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