THERMAL SCIENCE
International Scientific Journal
THE ASYMPTOTIC STABILITY OF THE TAYLOR-SERIES EXPANSION METHOD OF MOMENT MODEL FOR BROWNIAN COAGULATION
ABSTRACT
In the present study, the linear stability of population balance equation due to Brownian motion is analyzed with the Taylor-series expansion method of moment. Under certain conditions, the stability of the Taylor-series expansion method of moment model is reduced to a well-studied problem involving eigenvalues of matrices. Based on the principle of dimensional analysis, the perturbation equation is solved asymptotically. The results show that the Taylor-series expansion method of moment model is asymptotic stable, which implies that the asymptotic solution is uniqueness, and supports the self-preserving size distribution hypothesis theoretically.
KEYWORDS
PAPER SUBMITTED: 2017-02-12
PAPER REVISED: 2017-10-12
PAPER ACCEPTED: 2017-11-11
PUBLISHED ONLINE: 2018-09-09
THERMAL SCIENCE YEAR
2018, VOLUME
22, ISSUE
Issue 4, PAGES [1651 - 1657]
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