Moving finite elements method applied to dynamic population balance equations
نویسندگان
چکیده
منابع مشابه
Using Moving Finite Elements Method to solve Population Balance Equations comprising breakage terms
This paper introduces a Moving Finite Elements Method (MFEM) based on cubic Hermite polynomial local approximations to handle Population Balance Equations (PBE) modeling breakage phenomena. The adequacy and performance of the MFEM framework are tested in two case studies involving breakage: a benchmark problem with known analytical solution and the hydrolysis of starch. Both examples emphasize ...
متن کاملFinite element methods of an operator splitting applied to population balance equations
In population balance equations, the distribution of the entities depends not only on space and time but also on their own properties referred to as internal coordinates. The operator splitting method is used to transform the whole time-dependent problem into two unsteady subproblems of a smaller complexity. The first subproblem is a timedependent convection-diffusion problem while the second o...
متن کاملRealizable high-order finite-volume schemes for quadrature-based moment methods applied to diffusion population balance equations
Dilute gas–particle flows can be described by a kinetic equation containing terms for spatial transport, gravity, fluid drag and particle–particle collisions. However, direct numerical solution of kinetic equations is often infeasible because of the large number of independent variables. An alternative is to reformulate the problem in terms of the moments of the velocity distribution. Recently,...
متن کاملA finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging
The water proton magnetization subject to diffusion-encoding magnetic field gradient pulses in a heterogeneous medium can be modeled by the multiple compartment Bloch-Torrey partial differential equation (PDE). In addition, steady-state Laplace PDEs can be formulated to produce the homogenized diffusion tensor that describes the diffusion characteristics of the medium in the long time limit. In...
متن کاملModi ed method of characteristics for solving population balance equations
This paper presents a new numerical method for solving the population balance equation using the modi ed method of characteristics. Aggregation and break-up are neglected but the density function variations in the three-dimensional space and its dependence on the external elds are accounted for. The method is an interpretation of the Lagrangian approach. Based on a pre-speci ed grid, it follows...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: AIChE Journal
سال: 2008
ISSN: 0001-1541,1547-5905
DOI: 10.1002/aic.11384