Study of flow and turbulence inside a stirred tank and investigation on the effects of macroinstability on trailing vortex structures

ASME International Mechanical Engineering Congress and Exposition, Proceedings

Volumn 8 PART A, Issue , 2008, Pages 79-89

  Roy, Somnath ^a   Acharya, Sumanta ^a  

^a Louisiana State University   (United States)

Author keywords

Anisotropy; Macroinstability; Stirred tank; Trailing edge vortex; Turbulence

Indexed keywords

KINETIC ENERGY; LARGE EDDY SIMULATION; VELOCITY MEASUREMENT; VORTEX FLOW; ANISOTROPY; BLENDING; CHEMICAL INDUSTRY; CHEMICAL OPERATIONS; COMPUTATIONAL FLUID DYNAMICS; FLOW OF FLUIDS; HEAT TRANSFER; IMPELLERS; KINETICS; TANKS (CONTAINERS); TURBULENCE; TURBULENT FLOW;

IMMERSED BOUNDARY METHOD (IBM); STIRRED TANK REACTORS (STR); CHEMICAL PROCESS INDUSTRY; IMMERSED BOUNDARY METHODS; LARGE EDDY SIMULATION TECHNIQUES; MACRO INSTABILITIES; PITCHED BLADE IMPELLER; STIRRED TANK; TRAILING EDGES; TURBULENT KINETIC ENERGY;

TURBULENT FLOW; VORTEX FLOW;

EID: 44349161067     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2007-43956     Document Type: Conference Paper

References (37)

1. Bittorf, K.J., Kresta, S.M.., (2000). Active volume of mean circulation for stirred tanks agitated with axial impellers, Chem Eng Sci, 5, 1325-1335.
2. Dersken, J.J., Doleman, M.S. and Van der Akker, H. E. A., (1999). Three-dimensional LDA measurements in the impeller region of turbulently agitated stirred tank, Experiments in Fluids, 21, 522-532.
3. Dersken, J.J., Doleman, M.S. and Van der Akker, H. E. A., (1998). Phase-resolved three-dimensional LDA measurements in the impeller region of turbulently stirred tank, Laser Techniques Applied to Fluid Mechanics, 9-th International Symposium, Lisbon, Portugal.
4. Ducci, A., Yianneskis, M., (2006). Turbulent Kinetic Energy transport in the impeller stream of stirred vessels, Chem. Eng. Sci., 61, 2780-2790.
5. Edwards, J.R., (1997). A low-diffusion flux-splitting scheme for Navier-Stokes calculations, Computers and Fluids, 26, 635-659.
6. Escudle, R., Bouyer, D., and Line, A., 2004, Characterization of Trailing Vortices Generated be a Rushton Turbine, AIChE J., Vol. 50, pp. 75-86
7. Galletti, C., Paglianti, A., Lee, K. C., and Yianneskis, M., 2004, Reynolds Number and Impeller Diameter Effects on Instabilities in Stirred Vessels, AIChE, Vol. 50, pp 2050-2063.
8. Germano, M., Piomelli, U., Moin, P., Cabot, W.H., (1991). A dynamic subgrid-scale eddy viscosity model, Physics of Fluids, 3, 1760-1765.
9. Gropp, W., Lusk, E., Skjellum, A., (1999). Using MPI: Portable parallel programming with the message-passing interface, second edition, The MIT Press.
10. Hasal, P., Fort, I, Kratena, J. (2004). Force effects of the macro-instability flow pattern on radial baffles in a stirred vessel with pitched blade and Rushton turbine impellers, Trans. I Chem E, 82(A9), 1268-1281.
11. Hasal. P., Montes J.-L., Boisson, H., C., Fort, I. (2000) Macro-instabilities of velocity field in stirred vessel: detection and analysis. Chem. Eng. Sci.. 55, 391-401.
12. Hockey, R. M., Nouri, J.M. (1996). Turbulent flow in a baffled vessel stirred by 60° pitched blade impleller, Chem. Eng. Sci., 51(19), 4405-4413.
13. Jordan, S.A., (1999). A large eddy simulation methodology in generalized curvilinear coordinates, Journal of Computational Physics, 148, 322-340.
14. Karypis, G., Kumar, V. (1998). METIS, A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices. University of Minnesota, karypis@cs.umn.edu.
15. Kresta, S. M., and Wood, P. E. (1993). The flow field produced by a pitched blade turbine, CES, 48.1761-1774
16. Lumley, J. (1978) Computational modeling of turbulence flows, Adv. Appl. Mech. 26, 123.
17. Liu, J., Piomelli, U., Spalart, P.R. (1996), Interaction between a spatially growing boundary layer and embedded streamwise vortices, JFM, 326, 151-179.
18. Micheletti, M., Yianneskis, M. (2005) Precessional flow macro-instabilities in stirred vessels: study of variations in two locations through conditional phase-averaging and cross correlation approach.
19. Nikiforaki, L., Montane. G., Lee, K.C., Yianneskis, M. (2003). On the origin, frequency and magnitude of macro-instabilities of the lows in stirred vess
20. Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1992), Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, Cambridge, New York.
21. Roussinova, V. T., Kresta, S. M., and Weetman, R., 2004, Resonant Geometries for Circulation Pattern Macroinstabilities in a Stirred Tank, AIChE, Vol. 50, pp 2986-3005.
22. Roussinova, V. T., Kresta, S. M., and Weetman, R., 2003, Low frequency macro-instabilities in a stirred tank: scale-up and prediction based on large eddy simulations, AIChE, Vol. 58, 2297-2311.
23. Rushton H. H., Costich E. W. and, Everett H. J., 1950, Power characteristics of mixing impeller I and II. Chem Engg Prog, 46, 395-404.
24. Sagaut, P., (2001). Large Eddy Simulation for Incompressible Flows. Springer-Verlag Berlin, Germany.
25. Schafer, M., Yianneskis, M., Wachter, P. and Durst, F., 1998, Trailing vortices around a 45° pitched-blade impeller, AIChE J., Vol. 44, pp. 1233-1246.
26. Sheng, J., Meng, H., and Fox, R.O., 2000, A Large Eddy PIV Method for Turbulence Dissipation Rate Estimation, Chem. Engg. Science, Vol. 55, pp 4423-4434.
27. Smagorinsky, J., (1963). General circulation experiments with the primitive equations. I: The basic experiment, Monthly Weather Review, 91, 99-165.
28. Tafti, D.K., (2004). Evaluating the role of subgrid stress modeling in a ribbed duct for the internal cooling of turbine blades, International Journal for Heat Fluid Flow, 26, 92-104.
29. Tanguy, P.A., Thibault, F., (2002). Power-draw analysis of a coaxial mixer with Newtonian and nonNewtonian fluids in the laminar regime, Chemical Engineering Science, 57, 181-187.
30. st century, Chemical Engineering Progress, 6, 45-48.
31. Tseng, Y.-H., Ferziger, J.H., (2003). A ghost-cell immersed boundary method for flow in complex geometry, Journal of Computational Physics, 192, 593-623.
32. Tyagi, M., (2003). Large Eddy Simulations of Complex Turbulent Flows, Ph.D. Dissertation, Louisiana State University, Baton Rouge, LA.
33. Tyagi, M., Acharya, S., (2005). Large eddy simulation of turbulent flows in complex and moving rigid geometries using the immersed boundary method, International Journal for Numerical Methods in Fluids, 48, 691-722.
34. Tyagi, M., Roy, S., Acharya, S.,Hervey, A.D., (2007), Simulation of laminar and turbulent impeller stirred tanks using immersed boundary method and large eddy simulation technique in multi-block curvilinear geometries, Chem. Eng. Sci., okin press.
35. Riet, V., Smith, J.M., (1975). The Trailing Vortex System Produced by Rushton Agitators, Chem. Engg. Sci., 30, 1093-1105.
36. Weiss, J.M., Smith, W.A., (1995). Preconditioning applied to variable and constant density flows, AIAA Journal, 33, 2050-2057.
37. Yianneskis, M., Popiolek, Z. and Whitelaw, J.H., (1987) An experimental study of the steady and unsteady flow characteristics of stirred reactors, Journal of Fluid Mechanics, 175, 537-555.