Numerical investigation of mixing efficiency of helical ribbons

The objective of this article is to study the mixing efficiency of an industrial reactor fitted up with three different helical ribbon impellers. To this end, criteria that seem complementary will be used: dispersion of tracers, length stretch values and their associated Lyapunov exponents, and finally dispersive mixing efficiency coefficients. All these measures are based on flow simulations with finite-element software POLY3D from RheoTek Inc.

[1]  G. Benettin,et al.  Kolmogorov Entropy and Numerical Experiments , 1976 .

[2]  P. V. Danckwerts.  The Definition and Measurement of Some Characteristics of Mixtures , 1952 .

[3]  R. R. Huilgol,et al.  On the Concept of the Deborah Number , 1975 .

[4]  Ica Manas-Zloczower,et al.  Studies of Mixing Efficiency in Batch and Continuous Mixers , 1994 .

[5]  Gianni Astarita,et al.  Objective and generally applicable criteria for flow classification , 1979 .

[6]  Philippe A. Tanguy,et al.  Finite element analysis of viscous mixing with a helical ribbon-screw impeller , 1992 .

[7]  R. Bird.  Dynamics of Polymeric Liquids , 1977 .

[8]  Philippe A. Tanguy,et al.  Tetrahedral elements for fluid flow , 1992 .

[9]  Julio M. Ottino,et al.  Potentialities and limitations of mixing simulations , 1995 .

[10]  Julio M. Ottino,et al.  A comparative computational and experimental study of chaotic mixing of viscous fluids , 1990, Journal of Fluid Mechanics.

[11]  Julio M. Ottino,et al.  Feasibility of numerical tracking of material lines and surfaces in chaotic flows , 1987 .

[12]  Julio M. Ottino,et al.  Experimental and computational studies of mixing in complex Stokes flows: the vortex mixing flow and multicellular cavity flows , 1994, Journal of Fluid Mechanics.

[13]  H. Aref.  Stirring by chaotic advection , 1984, Journal of Fluid Mechanics.

[14]  Julio M. Ottino,et al.  Experiments on mixing in continuous chaotic flows , 1992, Journal of Fluid Mechanics.

[15]  Julio M. Ottino,et al.  The statistics of stretching and stirring in chaotic flows , 1991 .

[16]  J. H. Conner,et al.  Principal directions as a basis for the evaluation mixing , 1995 .

[17]  J. Ottino.  The Kinematics of Mixing: Stretching, Chaos, and Transport , 1989 .

[18]  J. Ottino,et al.  Mixing of a viscoelastic fluid in a time-periodic flow , 1993, Journal of Fluid Mechanics.

[19]  Philippe A. Tanguy,et al.  A three-dimensional fictitious domain method for incompressible fluid flow problems , 1997 .

[20]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .