Abstract
Aggregation is one of the important processes in chemical and process engineering. To model this process aggregation population balance equation is widely used. The aggregation kernel is one of the most effective parameter of this aggregation equation. This is usually defined as the product of the aggregation efficiency and collision frequency functions. Several authors attempted to model the aggregation kernel using different approaches like theoretical, experimental and empirical approaches. In the present paper we are giving some important modelling aspects of these kernels. One can use these modelling aspects in other variants of the population balance equations with breakage, nucleation, growth, ..., etc.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Friedlander, S.K.: Smoke, dust and haze. John Wiley & Sons, New York (1977)
Gelbard, F., Seinfeld, J.H.: Numerical solution of the dynamic equation for particulate systems. Journal of Computational Physics 28, 357–375 (1978)
Hoomans, B.P.B.: Granular dynamics of Gas-Solid two-phase flow. PhD thesis, Twente University, The Netherlands (2000)
Hounslow, M.J.: The population balance as a tool for understanding particle rate processes. Kona, 179–193 (1998)
Hu, K.C., Mei, R.: A note on particle collision rate in fluid flows. Phys. Fluids 10, 1028–1030 (1998)
Gantt, J.A., Cameron, I.T., Litster, J.D., Gatzke, E.P.: Determination of coalescence kernels for high-shear granulation using DEM simulations. Powder Technology 170, 53–63 (2006)
Kapur, P.C.: Kinetics of granulation by non-random coalescence mechanism. Chemical Engineering Science 27, 1863–1869 (1972)
Mueller, H.: A calculation procedure for heat, mass and momentum transfer in three dimensional parabolic flow. Int. J. Heat and Mass Transfer 15, 1787 (1922)
Rao, N.N.: Simulations for modelling of population balance equations of particulate processes using discrete particle model. PhD thesis, Otto-von-Guericke University, Magdeburg, Germany (2009)
Peglow, M.: Beitrag zur modellbildung eigenschaftsverteilten dispersen systemen am Beispiel der wirbeschicht-Spruenhagglomeration. PhD thesis, Otto-von-Guericke University, Magdeburg, Germany (2003)
Sastry, K.V.S.: Similarity size disribution of agglomerates during their growth by coalescence in granulation or green pelletization. International Journal of Mineral Processing 2, 187–203 (1975)
Sastry, K.V.S., Fuerstenau, D.W.: Size distribution of agglomerates in coalescing dispersed phase systems. I & EC Fundamentals 9(1), 145–149 (1970)
Smoluchowski, M.V.: Mathematical theory of the kinetics of the coagulation of colloidal solutions. Z. Phys. Chem. 92, 129–168 (1917)
Tan, H.S., Goldschmidt, M.J.V., Boerefijn, R., Hounslow, M.J., Salman, A.D., Kuipers, J.A.M.: Building population balance model for fluidized bed melt granulation: lessons from kinetic theory of granular flow. Powder Technology 142, 103–109 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Narni, N.R., Warnecke, G., Kumar, J., Peglow, M., Heinrich, S. (2012). Some Modelling Aspects of Aggregation Kernels and the Aggregation Population Balance Equations. In: Mathew, J., Patra, P., Pradhan, D.K., Kuttyamma, A.J. (eds) Eco-friendly Computing and Communication Systems. ICECCS 2012. Communications in Computer and Information Science, vol 305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32112-2_38
Download citation
DOI: https://doi.org/10.1007/978-3-642-32112-2_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32111-5
Online ISBN: 978-3-642-32112-2
eBook Packages: Computer ScienceComputer Science (R0)