Title
A volume-consistent discrete formulation of particle breakage equation.
Abstract
Abstract We introduce a finite volume scheme to approximate the one dimensional breakage equations. An interesting feature is that it is simple in mathematical formulation and predicts particle number density and its moments with improved accuracy. Efficiency of the new scheme is compared with the existing finite volume scheme proposed by Bourgade and Filbet (2008) over some test problems. It is seen that the new scheme preserves the volume conservative property of the previous scheme and additionally gives an improved estimation of the particle number density and its zero-order moment. Furthermore, the new scheme is computationally more efficient than the existing one. A detailed mathematical analysis including convergence and consistency of the new scheme is also performed. This analysis proves that the new scheme follows a second order convergence rate irrespective of the nature of the meshes. Several example problems are solved numerically to validate the results.
Year
DOI
Venue
2017
10.1016/j.compchemeng.2016.11.013
Computers & Chemical Engineering
Keywords
Field
DocType
65R20
Convergence (routing),Particle number,Mathematical optimization,Polygon mesh,QUICK scheme,Rate of convergence,Finite volume method,Mathematics,Particle,Breakage
Journal
Volume
ISSN
Citations 
97
0098-1354
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
Jitraj Saha110.72
Jitendra Kumar2409.73
S. Heinrich383.41