Authors:
Hugo A. Jakobsen
and
Jannike Solsvik
Affiliation:
Norwegian University of Science and Technology (NTNU), Norway
Keyword(s):
Population Balance Equation, Multifluid Model, Weighted Residual Methods, Tau, Orthogonal Collocation, Least-squares.
Related
Ontology
Subjects/Areas/Topics:
Application Domains
;
Chemical and Petroleum Engineering
;
Complex Systems Modeling and Simulation
;
Computer Simulation Techniques
;
Fluid Dynamics
;
Simulation and Modeling
;
Simulation Tools and Platforms
Abstract:
Fluid particle breakage and coalescence phenomena are important for optimal operation for industrial process units like the bobble column reactors. The population balance equation (PBE) can be applied to describe the evolution of populations of countable entities such as the bubbles in the bubble column. In recent literature, the least-squares methods has been adopted for the approximate solution of population balance (PB) models. Adopting a weighted residual method such as the least-squares method, the distribution function resolved instead of obtaining only a few moments of the distribution function. The performance of the least-squares method for PB problems should be compared to other techniques in the family of weighted residual methods. The aim of the present study is to evaluate the orthogonal collocation, tau and last-squares methods for the solution of a combined multifluid-PB model describing bubbly flows.