Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30184
Finite Element Modeling of Rotating Mixing of Toothpaste

Authors: Inamullah Bhatti, Ahsanullah Baloch, Khadija Qureshi

Abstract:

The objective of this research is to examine the shear thinning behaviour of mixing flow of non-Newtonian fluid like toothpaste in the dissolution container with rotating stirrer. The problem under investigation is related to the chemical industry. Mixing of fluid is performed in a cylindrical container with rotating stirrer, where stirrer is eccentrically placed on the lid of the container. For the simulation purpose the associated motion of the fluid is considered as revolving of the container, with stick stirrer. For numerical prediction, a time-stepping finite element algorithm in a cylindrical polar coordinate system is adopted based on semi-implicit Taylor-Galerkin/pressure-correction scheme. Numerical solutions are obtained for non-Newtonian fluids employing power law model. Variations with power law index have been analysed, with respect to the flow structure and pressure drop.

Keywords: finite element simulation, mixing fluid, rheology, rotating flow, toothpaste

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1070843

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1880

References:


[1] Portillo, P. M., Muzzio, F. J. and Ierapetritou, M. G., ÔÇÿHybrid DEMCompartment Modelling Approach for Granular Mixing-, AIChE Journal, 53(1), 119-128, 2007.
[2] Zlokarnik, M., "Stirring: Theory and Practice", Wiley-VCH, Weinheim, 2001.
[3] Wichterle, K. and Wein, O., "Threshold of mixing of non-Newtonian liquids", Int. Chem. Eng. V. 21, pp. 116-121, 1981.
[4] Luo, J. Y., Gosman, A. D., and Issa, R. I., "Prediction of impeller induced flows in mixing containers using multiple frames of reference", Inst. Chem. Eng. Symp. Ser., V. 136, pp. 549-556, 1994.
[5] Deen, N. G., Solberg, T., and Hjertager, B. H., "Flow generated by an aerated Rushton impeller: two-phase PIV experiments and numerical simulations", Can. J. Chem. Eng. V. 80, pp. 1-15, 2002.
[6] Tabor, G., Gosman, A. D., and Issa, R., "Numerical simulation of the flow in a mixing container stirred by a Rushton turbine", Inst. Chem. Eng. Symp. Ser. V. 140, pp. 25-34, 1996.
[7] Jaworski, Z. and Nienow, A. W., "LDA measurements of flow fields with Hydrofoil impellers in fluids with different rheological properties", Proceedings of 8th European Conference on Mixing, Cambridge, UK, pp. 105-112, 1993.
[8] Lane, G. and Koh, P. T. L., "CFD simulation of a Rushton turbine in a baffled tank", Proceedings of International Conference on Computational Fluid Dynamics in Mineral and Metal Processing and Power Generation, CSIRO, Melbourne, pp. 377-385, 1997.
[9] Buwa, V., Dewan, A., Nasser, A. F. and Durst, F., "Fluid dynamics and mixing of single-phase flow in a stirred container with a grid disc impeller: experimental and numerical investigations", Chem. Eng. Sci. V. 61, pp. 2815-2822, 2006.
[10] Saeed, S., Ein-Mozaffari, F. and Upreti, S. R., "Using computational fluid dynamics modelling and ultrasonic Doppler velocimetry to study pulp suspension mixing", Ind. Eng. Chem. Res. V. 46, pp. 2172-2179, 2007.
[11] Murthy, S. S. and Jayanti, S., "Mixing of power-law fluids using anchors: Metzner-Otto concept revisited", AIChE J. V.49, pp. 30-40, 2003.
[12] Kelly, W. and Gigas, B., "Using CFD to predict the behaviour of power law fluids near axial-flow impellers operating in the transitional flow regime", Chem. Eng. Sci. V. 58, pp. 2141-2152, 2003.
[13] Moore, I. P. T., Cossor, G. and Baker, M. R., "Velocity distributions in a stirred tank containing a yield stress fluid", Chem. Eng. Sci., V. 50, pp. 2467-2481, 1995.
[14] Townsend, P. and Webster, M. F., ÔÇÿAn algorithm for the threedimensional transient simulation of non-Newtonian fluid flows-, in: G. Pande, J. Middleton (Eds.), Proc. Int. Conf. Num. Meth. Eng.: Theory and Applications, NUMETA, Nijhoff, Dordrecht, pp. T12/1-11, 1987.
[15] Hawken, D. M., Tamaddon-Jahromi, H. R., Townsend, P., Webster, M. F., ÔÇÿA Taylor-Galerkin-based algorithm for viscous incompressible flow-, Int. J. Num. Meth. Fluids, 10, 327-351, 1990.
[16] Baloch, A., Grant, P. W. and Webster, M. F., "Parallel computation of two dimensional rotational flows of viscoelastic fluids in cylindrical container", Int. Journal for computer-Aided Engineering and Software, V. 19, No. 7, pp. 820-853, 2002.
[17] Baloch, A., Solangi, M. A. and Memon, G. Q., ÔÇÿSimulation of Rotational Flows in Cylindrical Container with Rotating Single Stirrer-, Punjab University Journal of Mathematics, 2008.
[18] Baloch, A., and Webster, M. F., ÔÇÿDistributed Parallel Computation for Complex Rotating Flows of Non-Newtonian Fluids-, Int. J. Numer. Meth. Fluids, 43, 1301-1328, 2003.