Research Papers: Fundamental Issues and Canonical Flows

A Batchelor Vortex Model for Mean Velocity of Turbulent Swirling Flow in a Macroscale Multi-Inlet Vortex Reactor

[+] Author and Article Information
Zhenping Liu

Department of Mechanical Engineering,
Iowa State University,
Ames, IA 50010
e-mail: payneliu@iastate.edu

Rodney O. Fox

Department of Chemical and
Biological Engineering,
Iowa State University,
Ames, IA 50010
e-mail: rofox@iastate.edu

James C. Hill

Department of Chemical and
Biological Engineering,
Iowa State University,
Ames, IA 50010
e-mail: jchill@iastate.edu

Michael G. Olsen

Department of Mechanical Engineering,
Iowa State University,
Ames, IA 50010
e-mail: mgolsen@iastate.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received April 2, 2014; final manuscript received October 6, 2014; published online December 18, 2014. Assoc. Editor: Meng Wang.

J. Fluids Eng 137(4), 041204 (Apr 01, 2015) (6 pages) Paper No: FE-14-1170; doi: 10.1115/1.4028784 History: Received April 02, 2014; Revised October 06, 2014; Online December 18, 2014

The velocity field in a macroscale multi-inlet vortex reactor (MIVR) used in “flash nanoprecipitation (FNP)” process for producing functional nanoparticles was investigated using stereoscopic particle image velocimetry (SPIV). Based on the experimental data, a simple model was proposed to describe the average velocity field within the reactor. In the model, the axial and azimuthal velocities could be well described by the combination of two coflowing Batchelor vortices. In this model, six dimensionless coefficients are identified by nonlinear curve fitting, and their dependence on Reynolds number can be linearly described. This simple model is able to accurately predict the mean velocity field within the confined turbulent swirling flow based purely on Reynolds number.

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Liu, Y., Cheng, C., Liu, Y., Prud'homme, R. K., and Fox, R. O., 2008, “Mixing in a Multi-Inlet Vortex Mixer (MIVM) for Flash Nano-Precipitation,” Chem. Eng. Sci., 63(11), pp. 2829–2842. [CrossRef]
Johnson, B. K., and Prud'homme, R. K., 2003, “Flash Nanoprecipitation of Organic Actives and Block Copolymers Using a Confined Impinging Jets Mixer,” Aust. J. Chem., 56(10), pp. 1021–1024. [CrossRef]
Liu, Y., Tong, Z., and Prud'homme, R. K., 2008, “Stabilized Polymeric Nanoparticles for Controlled and Effecient Release of Bifenthrin,” Pest Manage. Sci., 64(8), pp. 808–812. [CrossRef]
Shen, H., Hong, S., Prud'homme, R. K., and Liu, Y., 2011, “Self-Assembling Process of Flash Nanoprecipitation in a Multi-Inlet Vortex Mixer to Produce Drug-Loaded Polymeric Nanoparticles,” J. Nanopart. Res., 13(9), pp. 4109–4120. [CrossRef]
Cheng, J. C., Olsen, M. G., and Fox, R. O., 2009, “A Microscale Multi-Inlet Vortex Nanoprecipitation Reactor: Turbulence Measurement and Simulation,” Appl. Phys. Lett., 94, p. 204104. [CrossRef]
Shi, Y., Cheng, J. C., Fox, R. O., and Olsen, M. G., 2013, “Measurements of Turbulence in a Microscale Multi-Inlet Vortex Nanoprecipitation Reactor,” J. Micromech. Microeng., 23(7), p. 075005. [CrossRef]
Saffman, P. G., 1992, Vortex Dynamics, Cambridge University Press, Cambridge, UK.
Batchelor, G. K., 1964, “Axial Flow in Trailing Line Vortices,” J. Fluid Mech., 20, pp. 645–658. [CrossRef]
Susa-Resiga, R., Ciocan, G. D., Anton, I., and Avellan, F., 2006, “Analysis of the Swirling Flow Downstream a Francis Trubine Runner,” ASME J. Fluids Eng., 128(1), pp. 177–189. [CrossRef]
Prasad, A. K., 2000, “Stereoscopic Particle Image Velocimetry,” Exp. Fluids, 29, pp. 103–116. [CrossRef]
Wieneke, B., 2005, “Stereo-PIV Using Self-Calibration on Particle Images,” Exp. Fluids, 39(2), pp. 267–280. [CrossRef]
Van Doorne, C., and Westerweel, J., 2007, “Measurement of Laminar, Transitional and Turbulent Pipe Flow Using Stereoscopic-PIV,” Exp. Fluids, 42(2), pp. 259–279. [CrossRef]
Madabhushi, R. K., and Vanka, S. P., 1991, “Large Eddy Simulation of Turbulencedriven Secondary Flow in a Square Duct,” Phys. Fluids A, 3, pp. 2734–2745. [CrossRef]
Ingvorsen, K. M., Meyer, K. E., Walther, J. H., and Mayer, S., 2013, “Turbulent Swirling Flow in a Model of a Uniflow-Scavenged Two-Stroke Engine,” Exp. Fluids, 54(3), pp. 1494–1511. [CrossRef]
Liu, X., and Katz, J., 2013, “Vortex-Corner Interactions in a Cavity Shear Layer Elucidated by Time-Resolved Measurements of the Pressure Field,” J. Fluid Mech., 728, pp. 417–457. [CrossRef]
Kitoh, O., 1991, “Experimental Study of Turbulent Swirling Flow in a Straight Pipe,” J. Fluid Mech., 225, pp. 445–479. [CrossRef]


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Fig. 1

Geometry of the MIVR

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Fig. 2

The MIVR flow facility

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Fig. 3

(a) The location of inlet measurement, (b) contour of ux at 1/2 height of inlet, and (c) comparison between average velocity at 1/4, 1/2, and 3/4 height

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Fig. 4

Time average velocity field at Re = 3290. The in-plane velocity is shown in vectors and the axial velocity is shown in contour.

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Fig. 5

Velocity components as a function of radial position within the reactor at Re = 3290

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Fig. 6

Coefficients at different Reynolds number and the corresponding linear fit curve, (a) V1*,V2*, (b) R1*,R2*, and (c) U1*,U2*

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Fig. 7

Comparison of the vortex model to experimental data at Re = 3290, (a) uθ¯ and (b) uz¯



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