Semester
Summer
Date of Graduation
2011
Document Type
Dissertation
Degree Type
PhD
College
Eberly College of Arts and Sciences
Department
Mathematics
Committee Chair
Mary Ann Clarke
Abstract
A reduced order model utilizing proper orthogonal decomposition for approximation of gas and solids velocities as well as pressure, solids granular temperature and gas void fraction for use in multiphase incompressible fluidized beds is developed and presented. The methodology is then tested on data representing a flat-bottom spouted fluidized bed and comparative results against the software Multiphase Flow with Interphase eXchanges (MFIX) are provided. The governing equations for the model development are based upon those implemented in the (MFIX) software. The three reduced order models explored are projective, extrapolative and interpolative. The first is an extension of the system solution beyond an original time sequence. The second is a numerical approximation to a new solution based on a small selected parameter deviation from an existing CFD data set. Finally an interpolative methodology approximates a solution between two existing CFD data sets both which vary a single parameter.
Recommended Citation
Beck-Roth, Stephanie R., "Reduced Order Model of a Spouted Fluidized Bed Utilizing Proper Orthogonal Decomposition" (2011). Graduate Theses, Dissertations, and Problem Reports. 4692.
https://researchrepository.wvu.edu/etd/4692