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3.8.16 Chen

Topic: NIA CFD Seminar #72: A Kinetic Description of Morphing Continuum Theory and its Applications

Date: Tuesday, March 8, 2016

Time: 11:00am-noon (EST)

Room: NIA, Rm 141

Speaker: James M. Chen

Webcast Link: http://www.hiroakinishikawa.com/niacfds/index.html

Abstract: The coupling between the intrinsic angular momentum and the hydrodynamic linear momentum has been known to be prominent in fluid flows involving physics across multiple length and time scales, e.g. turbulence, hypersonic rarefied flow and flows at micro-/nano-scale. The classical Navier-Stokes (N-S) equations can only correctly predict the decay of the transverse velocity autocorrelation down to few atomic diameters. Morphing Continuum (MCT, Micropolar) Theory (Eringen, 1964; Chen et. al., 2011) is mathematically formulated under the framework of continuum thermomechanics to account for the decay correlation at smaller wavelength. The mathematically rigorous continuum thermomechanics introduce new material constants into the MCT governing equations, but leave their physical meanings unexplained. Similar to Boltzmann’s kinetic theory explaining the viscosity in the N-S equations, I will discuss an advanced kinetic theory, including a newly derived Boltzmann-Curtiss (B-C) distribution function and the B-C equations for polyatomic gases. I will demonstrate that the corresponding B-C equations are the MCT governing equations without any dissipation terms when the system of polyatomic gases is in equilibrium, i.e. under B-C distribution. Preliminary results using MCT for (1) the transition and turbulent flow triggering by the wall-bounded disturbances, and (2) the shock wave/wall-bounded disturbances interactions for supersonic flow with Ma = 3.

Bio: Dr. James M. Chen earned his B.S. in mechanical engineering at National Chung-Hsing University (2000), Taiwan, M.S. in applied mechanics at National Taiwan University (2005) and Ph.D. in mechanical and aerospace engineering and applied mathematics (minor) at The George Washington University (2011). He joined Kansas State University as an Assistant Professor of mechanical engineering at Kansas State University in Fall 2015. Prior to joining K-State, he was a faculty in engineering at Penn State Altoona (2012-2015). He has published more than 30 peer-reviewed journal articles/book chapters in multiscale computational mechanics, theoretical & computational fluid dynamics and atomistic simulation for thermo-electro-mechanical coupling at nanoscale. His current interests are on the kinetic description of Morphing Continuum Theory and its applications in turbulence, micro-/nano-scale flow, and high Mach number flow as well as multi-scale modeling of fluid dynamics.

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