Rensselaer Polytechnic Institute | About RPI | Academics | Research | Student Life | Admissions | News & Information
* Site Navigation
Mathematical Sciences

Mathematical Sciences Research

Applied Geometry
Approximation Theory
Chemically-Reacting Flows
Computational Logic
Dynamical Systems
Environmental Problems
Fluid Dynamics
Inverse Problems
Machine Learning
Math Education
Mathematical Physics
Multiphase Flows
Nonlinear Analysis
Nonlinear Materials
Nonlinear Waves
Operations Research and Mathematical Programming
Perturbation Methods
Scientific Computing

Mathematical Sciences Research
Fluid Dynamics

Fluid dynamics, or fluid mechanics, is the study of the macroscopic physical behavior of fluids (liquids and gases). A subdivision of fluid dynamics is acoustics.

The solution of a fluid dynamic problem typically involves calculating various properties of the fluid, such as velocity, pressure, density, and temperature, as functions of space and time.

Fluid Dynamics at Rensselaer

Rensselaer researchers use methods of applied mathematics to study how fluids behave under a wide spectrum of conditions.

The physical problems usually lead to partial differential equations, which may be linear or nonlinear.

Fluid dynamics are also studied in the Computer Science Department, the Biomedical Engineering Department, and the Department of Mechanical Engineering, Aerospace Engineering, and Mechanics, as well as the Scientific Computation Research Center and Center for Biotechnology and Interdisciplinary Studies.

Current Projects

Current projects in the mathematical sciences department deal with:

  • Fluid mechanics in engineering systems.
  • Flow and stability of two-phase mixtures.
  • Transition from laminar to turbulent flow in boundary layers.
  • Fluid mechanical models of atmospheric events.
  • Theory of flow in a gas centrifuge.
  • Evolution of non-Newtonian (for example, polymer) fluid flow.

Faculty Researchers

Isom Herron
Ashwani Kapila
Chjan Lim
Yuri Lvov
Donald Schwendeman
Peter Kramer


Rensselaer Polytechnic Institute > Academics & Research > School of Science > Mathematical Sciences:
Home | Undergraduate | Graduate | Faculty | Research | Events | News | Contacts

Copyright ©2006 Rensselaer Polytechnic Institute

Rensselaer   Rensselaer Polytechnic Institute (RPI)
110 8th Street, Troy, NY 12180   (518) 276-6000