Analytical solution of population balance equation involving aggregation and breakage in terms of auxiliary equation method
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Dosyalar
Tarih
2015
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Indian Academy of Sciences
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper presents an effective analytical simulation to solve population balance equation (PBE), involving particulate aggregation and breakage, by making use of appropriate solution(s) of associated complementary equation via auxiliary equation method (AEM). Travelling wave solutions of the complementary equation of a nonlinear PBE with appropriately chosen parameters is taken to be analogous to the description of the dynamic behaviour of the particulate processes. For an initial proof-of-concept, a general case when the number of particles varies with respect to time is chosen. Three cases, i.e. (1) balanced aggregation and breakage, (2) when aggregation can dominate and (3) breakage can dominate, are selected and solved for their corresponding analytical solutions. The results are then compared with the available analytical solution, based on Laplace transform obtained from literature. In this communication, it is shown that the solution approach proposed via AEM is flexible and therefore more efficient than the analytical approach used in the literature. © Indian Academy of Sciences.
Açıklama
Anahtar Kelimeler
Aggregation, Auxiliary equation method, Breakage, Laplace transform, Population balance, Agglomeration, Coal breakage, Laplace transforms, Analytical approach, Analytical simulations, Auxiliary equation method, Particulate aggregation, Particulate process, Population balance equation, Population balances, Travelling wave solution, Nonlinear equations
Kaynak
Pramana - Journal of Physics
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
84
Sayı
1
