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Filtered two-fluid models for fluidized gas-particle suspensions
Start Date: 3/19/2014Start Time: 3:00 PM
End Date: 3/19/2014End Time: 4:00 PM

Professor Sankaran Sundaresan
Department of Chemical & Biological Engineering
Princeton University

Wednesday, March 19, 2014, 3pm
801 22nd Street NW, Phillips Hall 736
Washington, DC 20052

Hosted by: Dr. Kausik Sarkar (

Gas-particle flows in turbulent fluidized beds and risers exhibit large fluctuations in velocities and local suspension density. These fluctuations are associated with the random motion of the individual particles and with the chaotic motion of particle clusters. These clusters occur over a wide range of length scales and their dynamics span a broad range of time scales. This broad range of scales has made it difficult to construct efficient flow models required for practical analysis of flows in turbulent fluidized beds and risers. In this presentation, I will discuss the results of our ongoing study aimed at the development of filtered hydrodynamic models for such systems. These filtered two-fluid models are conceptually analogous to the Large Eddy Simulation models for turbulent flows.  By systematically filtering computational data generated through highly resolved simulations of fluidized suspensions in simple flow geometries, we have constructed constitutive relations for the drag coefficient and particle phase stresses appearing in the filtered model equations. The filtered drag coefficient decreased systematically with increasing filter width, while the filtered particle-phase stresses increased with filter size. Both two- and three-dimensional simulations manifest nearly identical scaling.  We have verified the coarse-graining approach which uses the filtered drag coefficient and particle phase stresses by comparing the results obtained in test simulations using the filtered model equations with those obtained by highly resolved simulations of the kinetic theory model. As expected, the filtered model equations yielded coarser structures than those seen in the kinetic theory simulations, and they also led to a converged solution at much coarser grid resolutions. The details of these results will be described in the presentation, where I will also present our efforts towards validation of the approach against experimental data.

Sankaran Sundaresan received his B. Tech in Chemical Engineering from the Indian Institute of Technology, Madras in 1976. After receiving his Ph.D. in the same field in 1980 from the University of Houston, he joined the faculty at Princeton University.  At Princeton, he has studied different classes of multiphase flows - trickle bed reactor hydrodynamics, fluid-particles flows, and bubble dynamics in gas-liquid bubble column reactors.  Through a combination of experiments, simulations and theory, his research group has studied the origin of instabilities and the hierarchy of nonuniform structures, which arise in granular flows, and multiphase flows.  The current emphasis of his work on fluid-solid flows, some of which he will touch upon in today’s presentation.

Cindy Fields Arnold
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