1. Department of Mathematical Sciences

2. Applied Mathematics –Computational Enginee Research – F. Tanner –Simulation of Food Sprays – F. Tanner –Multiphase Fluid Systems – K. Feigl –Blood Flow Analysis – W. Ying Statistical Genetics Group –Q. Sha, R. Jiang, J. Dong, S. Zhang, H. Chen

3. Motivation –Health and Environmental –Sustainability Main Objectives –Understand physical processes –Develop simulation tools Results –Strategy to minimize fuel consumption and emissions –Multi-orifice asynchronous injection Computational Engine Research Mass fraction of an evaporating fuel spray

4. Motivation –Spray-drying and spray-freezing –Encapsulation of nutrients Main Objectives –Obtain desired drop size distributions –Maximize production Modeling Challenges/Research –Complex flows and materials –Phase changes Modeling of Food Sprays Air-assist atomization of a nutriose liquid spray

5. Examples/Applications –Emulsions, foams, polymer blends –Foods, plastics, pharmaceuticals Goals –Understand process-microstructure- rheology relationtionship –Design processes to optimize product properties Research –Multidisciplinary approach –Combine modeling, simulation and experiments Simulation of Fluid Systems Simulated deformation of a fluid droplet

6. Droplet deforming in supercritical shear flow Droplet deforming in supercritical elongational flow

8. Sixteen Members –5 faculty –2 post-docs –9 PhD Students Supported by 4 NIH Grants Total funding of over $1 million Statistical Genetics Group

9. Groups Aims –Develop new tools for analysis of genomic data –Use innovative models and methods in human genetic studies Key Research Areas –Functional gene mapping –Pedigree analysis –Gene interactions –Computational methodologies –Microarray analysis