Solution of Nonlinear Algebraic Equations in the Analysis, Design, and Optimization of Continuous Ultrafiltration


  • Greg Foley Dublin City University


Continuous feed and bleed ultrafiltration, modeled with the gel polarization model for the limiting flux, is shown to provide a rich source of non-linear algebraic equations that can be readily solved using numerical and graphical techniques familiar to undergraduate students. We present a variety of numerical problems in the design, analysis, and optimization of these systems for use as homework or laboratory exercises in the study of this important separation process.

Author Biography

Greg Foley, Dublin City University

Greg Foley is a chemical engineer with B.E. and Ph.D. degrees from University College Dublin, Ireland, and an M.S. degree in chemical engineering from Cornell University. He has taught many aspects of chemical engineering to students of biotechnology at Dublin City University for more than 24 years. His main area of expertise and the focus of his research is in membrane processing, especially crossflow microfiltration of microbial cells and the modeling of ultrafiltration and diafiltration processes. He also has an active interest in teaching innovation and has developed numerous initiatives in this area including the use of video podcasting and problem-based learning. He is particularly interested in the interface between teaching and research and the incorporation of research problems into the undergraduate curriculum is one of his ongoing projects.