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Department of Mathematical Sciences

Explore the simulation of food sprays, multiphase fluid systems, blood flow analysis, and statistical genetics. Understand physical processes and develop simulation tools to optimize fuel consumption and improve health and environmental sustainability.

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Department of Mathematical Sciences

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  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 Y. Sha, R. Jiang, J. Dong, S. Zhang, H. Chen

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

  4. Motivations • Health and Environmental • Sustainability • Objectives • Understand physical processes • Develop simulation tools • Results • Strategy to optimize fuel consumption • Multi-orifice asynchronous injection 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

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

  8. 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

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