Department of Mathematical

Sciences

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

• 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

• 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

• 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 afluid droplet

Droplet deforming in supercriticalshear flow

Droplet deforming in supercriticalelongational flow

• Sixteen Members– 5 faculty– 2 post-docs

– 9 PhD Students

• Supported by 4 NIH Grants

• Total funding of over $1 million

Statistical Genetics Group

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