| EPSRC Reference: |
GR/R85662/01 |
| Title: |
Mathematical and Numerical Analysis of Coagulation - Diffusion Processes in Chemical Engineering |
| Principal Investigator: |
Kraft, Professor M |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Chemical Engineering and Biotechnology |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 2002 |
Ends: |
30 June 2006 |
Value (£): |
391,084
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| EPSRC Research Topic Classifications: |
| Combustion |
Mathematical Analysis |
| Multiphase Flow |
Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| Transport Systems and Vehicles |
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| Related Grants: |
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| Panel History: |
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Summary on Grant Application Form |
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The aim of this proposal is threefold. We want (1) to develop a new numerical algorithm based on stochastic particle systems, (2) to implement this algorithm to model the formation and dynamics of nano-particles as well as liquid-liquid extraction columns, and (3) to investigate at a rigorous mathematical level the fundamental relationship between convection diffusion and coagulation fragmentation. At the end of this project we aim to develop a highly optimized and efficient algorithm solving general convection-diffusion / coagulation-fragmentation problems in chemical engineering and to gain insight in the theoretical properties of the numerical algorithm as well as in the fundamentals of the mathematical models used. The main features of the algorithm are space and time adaption, the use of fictitious jumps, majorant kernels as well as improved splitting schemes. IWe also hope to obtain some fundamental insight into the mathematical properties of the inhomogeneous Smoluchowski equation. The main goals are to obtain some meanfield approximations as well as studying the convergence of the particle system and investigate uniqueness. The performance and accuracy of the algorithm will be tested by simulating particularly challenging particle systems of technical relevance. The algorithm will be developed and optimized in close cooperation by both groups trying to combine their respective strengths in probability theory, numerical analysis and simulations of engineering systems. The basic philosophy of the project is thus to combine two different fields that are currently separated.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.cam.ac.uk |