Department of Mathematical Sciences

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Department of Mathematical Sciences
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• 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

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Computational Engine Research

• 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

Mass fraction of an evaporating fuel spray
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Modeling of Food Sprays

• 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

Air-assist atomization of a nutriose liquid spray
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• 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
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Droplet deforming in supercritical shear flow
Droplet deforming in supercritical elongational
flow
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Statistical Genetics Group

• Sixteen Members
• 5 faculty
• 2 post-docs
• 9 PhD Students
• Supported by 4 NIH Grants
• Total funding of over 1 million

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• 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