Abstract
The laminar flow and chaotic mixing characteristics of a high-viscosity fluid in static mixers with staggered perforated helical segments were numerically investigated in the range of Re=0.1-150. The numerical results of pressure drop of Kenics static mixer have a good agreement with the reported data from the literature. The effects of aspect ratio A r and Reynolds number on the mixing performance of Modified Kenics Static Mixers (MKSM) were evaluated by Darcy friction coefficient, shear rate, stretching rate, and Lyapunov exponent, respectively. The product of f×Re for MKSM linearly increased with the increase of Re, but it was constant under Re<10. The values of shear rate in the first perforated hole of mixing elements gradually became much larger by 1.10%-11.78% than those in the second perforated hole with the increasing Re. With the increase of dimensionless axial mixing length, the stretching rate increased linearly and the sensitivity for initial condition gradually weakened. A larger A r is beneficial for micro-mixing in creeping flow. The average Lyapunov exponent linearly increases with the increase of Re. The profiles of Lyapunov exponent at different dimensionless perforated diameter (d/W) and perforated spacing (s/W) indicate that the chaotic mixing in MKSM is much more sensitive to d/W than s/W. A dimensionless parameter η taking into account the mixing degree and pressure drop was employed to evaluate the mixing efficiency. The optimization of perforated helical segments with the highest mixing efficiency at Re=100 was d/W=0.55 and s/W=1.2.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. K. Rahmani, T. G. Keith and A. Ayasoufi, J. Fluids Eng., 128, 467 (2006).
M. Regner, K. Östergren and C. Trägårdh, Ind. Eng. Chem. Res., 47, 3030 (2008).
M. Regner, K. Östergren and C. Trägårdh, Chem. Eng. Sci., 61, 6133 (2006).
R. K. Thakur, C. H. Vial, K. D. P. Nigam, E. B. Nauman and G. D. Jelveh, Chem. Eng. Res. Des., 81, 787 (2003).
A. Ghanem, T. Lemenand, D. D. Valle and H. Peerhossaini, Chem. Eng. Res. Design, 92, 205 (2014).
F. Zidouni, E. Krepper, R. Rzehak, S. Rabha, M. Schubert and U. Hampel, Chem. Eng. Sci., 137, 476 (2015).
D. M. Hobbs and F. J. Muzzio, Chem. Eng. J., 67, 153 (1997).
D. M. Hobbs and F. J. Muzzio, AIChE J., 43, 3121 (1997).
D. M. Hobbs and F. J. Muzzio, Chem. Eng. Sci., 53, 3199 (1998).
D. M. Hobbs and F. J. Muzzio, Chem. Eng. Sci., 70, 93 (1998).
E. Fourcade, R. Wadley, H. C. J. Hoefsloot, A. Green and P. D. Iedema, Chem. Eng. Sci., 56, 6729 (2001).
R. K. Rahmani, T. G. Keith and A. Ayasoufi, J. Fluids Eng., 127, 467 (2005).
P. F. Lisboa, J. Fernandes, P. C. Simões, J. P. B. Mota and E. Saatdjian, J. Supercriti. Fluids, 55, 107 (2010).
E. Saatdjian, A. J. S. Rodrigo and J. P. B. Mota, Chem. Eng. J., 187, 289 (2012).
V. Kumar, V. Shirke and K. D. P. Nigam, Chem. Eng. J., 139, 284 (2008).
Z. Jaworski, P. Pianko-Opyrch, D. L. Marchisio and A. W. Nienow, Chem. Eng. Res. Des., 85, 753 (2007).
H. Tajima, A. Yamasaki, F. Kiyono and H. Teng, AIChE J., 50, 871 (2004).
H. Tajima, A. Yamasaki and F. Kiyono, Energy Fuels, 19, 2364 (2005).
H. Tajima, A. Yamasaki, F. Kiyono and H. Teng, AIChE J., 52, 2991 (2006).
H. Tajima, Y. Yoshida, S. Abiko and K. Yamagiwa, Chem. Eng. J., 156, 479 (2010).
A. Ujhidy, J. Nemeth and J. Szepvolgyi, Chem. Eng. Process., 42, 1 (2003).
E. Lang, P. Drtina, F. Streiff and M. Fleischli, Int. J. Heat Mass Transfer, 38, 2239 (1995).
E. S. Mickaily-Huber, F. Bertrand, P. Tanguy, T. Meyer, A. Renken, F. S. Rys and M. Wehrli, Chem. Eng. J. and Biochem. Eng. J., 63, 117 (1996).
J. M. Zalc, E. S. Szalai, F. J. Muzzio and S. Jaffer, AIChE J., 48, 427 (2002).
K. Hirech, A. Arhaliass and J. Legrand, Ind. Eng. Chem. Res., 42, 1478 (2003).
S. Rabha, M. Schubert, F. Grugel, M. Banowski and U. Hampel, Chem. Eng. J., 262, 527 (2015).
H. B. Meng, F. Wang, Y. F. Yu, M. Y. Song and J. H. Wu, Ind. Eng. Chem. Res., 53, 4084 (2014).
H. B. Meng, M. Y. Song, Y. F. Yu, F. Wang and J. H. Wu, Can. J. Chem. Eng., 93, 1849 (2015).
Y. F. Yu, H. Y. Wang, M. Y. Song, H. B. Meng, Z. Y. Wang and J. H. Wu, Appl. Therm. Eng., 94, 282 (2016).
Y. G. Lei, C. H. Zhao and C. F. Song, Chem. Eng. Technol., 35, 2133 (2012).
H. B. Meng, G. X. Zhu, Y. F. Yu, Z. Y. Wang and J. H. Wu, Int. J. Heat Mass Transfer, 99, 647 (2016).
S. J. Curran, R. E. Hayes, A. Afacan, M. C. Williams and P. A. Tanguy, Ind. Eng. Chem. Res., 39, 195 (2000).
A. Bakker and L. E. Gates, Chem. Eng. Prog., 91, 25 (1995).
D. Rauline, P. A. Tanguy, J. LeBlevec and J. Bousquet, Can. J. Chem. Eng., 76, 527 (1998).
N. I. Heywood, L. J. Viney and I. W. Stewart, Fluid Mixing II, 147 (1984).
ANSYS Inc., ANSYS ICEM CFD Help Manual. ANSYS Inc. Southpointe 2600 ANSYS Drive Canonsburg, PA, U. S. A. (2015).
Y. Cengel and A. Ghajar, Heat and Mass Transfer: Fundamentals and Applications, McGraw-Hill Science/Engineering/Math, USA (2014).
H. P. Grace, Chem. Eng. Commun., 14, 225 (1982).
M. Heniche, P. A. Tanguy, M. F. Reeder and J. B. Fasano, AIChE J., 51, 44 (2005).
ANSYS Inc., ANSYS Fluent User’s Guide. ANSYS Inc. Southpointe 2600 ANSYS Drive Canonsburg, PA, U. S. A. (2015).
J. M. Ottino, The kinematics of mixing: stretching, chaos, and transport, Cambridge University Press, Cambridge (1989).
D. Rauline, J.-M. LE Blévec, J. Bousquet and P. A. Tanguy, Chem. Eng. Res. Des., 78, 389 (2000).
M. Liu, R. L. Peskin, F. J. Muzzio and C. Leong, AIChE J., 40, 1273 (1994).
M. Liu, F. J. Muzzio and R. L. Peskin, Chaos Solitons & Fractals, 4, 2145 (1994).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Meng, H., Jiang, X., Yu, Y. et al. Laminar flow and chaotic advection mixing performance in a static mixer with perforated helical segments. Korean J. Chem. Eng. 34, 1328–1336 (2017). https://doi.org/10.1007/s11814-017-0035-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11814-017-0035-z