Hydrodynamics of Taylor Flow

the pressure drop is expected to be similar to that of the single-phase Poiseuille flow. However, the effectiveness for mixing and heat transfer enhancement is expected to be superior for shorter liquid plug. 

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M. Kreutzer, Hydrodynamics of Taylor flow in Capillaries and Monolith Reactors, Delft University Press, Delft, 2003 PhD-thesis. 

Kreutzer, M. T., Hydrodynamics of Taylor Flow in Capillaries and Monoliths Channels, Doctoral dissertation. Delft University of Technology, Delft, the Netherlands 2003. 

Angeli, P., Gavriilidis, A. (2008). Hydrodynamics of Taylor flow in small channels a review. Proceedings of the Institution of Mechanical Engineers Part C-Joumal of Mechanical Engineering Science, 222, Til-lSX. 

Liu, H., Vandu, C. O., Krishna, R. (2005). Hydrodynamics of Taylor flow in vertical capillaries How regimes, bubble rise velocity, liquid slug length, and pressure drop. Irulustrial and Engineering Chemistry Research, 44, 4884-4897. 

Kreutzer MT (2003) Hydrodynamics of Taylor flow in capillaries and monolith reacUffs. PhD Thesis, Technical University of Delft, Delft... 

In cylindrical capillaries where the effects of gravity can be neglected, the liquid film around the bubble has a constant thickness, which increases with the capillary number. Under inertia-dominated flow conditions, the liquid film thickness decreases and then increases with increasing Reynolds number [65, 66]. Han and Shikazono [66] studied hydrodynamics of Taylor flow in circular tubes with different diameters of 0.3, 0.5, 0.7, 1.0, and 1.3 mm, and they proposed empirical correlations for the dimensionless film thickness for Re < 2000 ... 

The hydrodynamics of the flow between the two cylinders can be characterized by a dimensionless quantity 7h, the Taylor number, named after the mathematician G. I. Taylor. The Taylor number incorporates two dimensionless groups, the Reynolds number and a geometric ratio, and is defined as ... 

In the design of optimal catalytic gas-Hquid reactors, hydrodynamics deserves special attention. Different flow regimes have been observed in co- and countercurrent operation. Segmented flow (often referred to as Taylor flow) with the gas bubbles having a diameter close to the tube diameter appeared to be the most advantageous as far as mass transfer and residence time distribution (RTD) is concerned. Many reviews on three-phase monolithic processes have been pubhshed [37-40]. 

Reactors which generate vortex flows (VFs) are common in both planktonic cellular and biofilm reactor applications due to the mixing provided by the VF. The generation of Taylor vortices in Couette cells has been studied by MRM to characterize the dynamics of hydrodynamic instabilities [56], The presence of the coherent flow structures renders the mass transfer coefficient approaches of limited utility, as in the biofilm capillary reactor, due to the inability to incorporate microscale details of the advection field into the mass transfer coefficient model. 

The question considered is a description of the conditions which must be met by a localized initiator if a spherical detonation wave is to be formed. The first problem is a determination of the possibility of the existence of such a wave. Taylor analyzed the dynamics of spherical deton from a point, assuming a wave of zero-reaction zone thickness at which the Chapman-Jouguet condition applies. He inquired into the hydrodynamic conditions which permit the existence of a flow for which u2 +c2 = U at a sphere which expands with radial velocity U (Here U = vel of wave with respect to observer u2 = material velocity in X direction and c -= sound vel subscript 2 signifies state where fraction of reaction completed e = 1). Taylor demonstrated theoretically the existence of a spherical deton wave with constant U and pressure p2equal to the values for the plane wave, but with radial distribution of material velocity and pressure behind the wave different from plane wave... 

For Taylor numbers exceeding Tc, the flow develops a secondary flow pattern in which ur and uz are both nonozero. A sketch of the stability criteria given by (3-86) is shown in Fig. 3 8. The reader who is interested in a detailed description of the stability analysis that leads to the criterion (3-86) is encouraged to consult Chap. 12 or one of the standard textbooks on hydrodynamic stability theory (see Chandrashekhar [1992] for a particularly lucid discussion of the instability of Couette flows).12... 

In cases where hydrodynamic dispersion and the corresponding broadening of residence-time distributions deteriorate the performance of a process, the question arises as to which channel design minimizes dispersion. Already from the analysis of Taylor and Aris it becomes clear that an enhanced mass transfer perpendicular to the main flow direction reduces the broadening of concentration tracers. Such a mass-transfer enhancement can be achieved by the secondary fiow occurring in a curved channel. This aspect was investigated by Daskopoulos and Lenhoff [78] for ducts of circular cross section. They assumed the diameter of the duct to be small compared to the radius of curvature and solved the convection-diffusion equation for the concentration field numerically. More specifically, a two-dimensional problem defined on the cross-sectional plane of the duct was solved based on a combination of a Fourier series expansion and an expansion in Chebyshev polynomials. The solution is of the general form... 

Abadie, T., Aubin, J., Legendre, D., Xuereb, C. (2012). Hydrodynamics of gas-liquid Taylor flow in rectangular microchannels. Microfluidics and Nanofluidics, 12, 355-369. 

Gupta, R., Leung, S. S., Manica, R., Fletcher, D. F., Haynes, B. S. (2013). Hydrodynamics of liquid-liquid Taylor flow in microchannels. Chemical Engineering Science, 92, 180-189. 

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