Bulletin of the American Physical Society
67th Annual Meeting of the APS Division of Fluid Dynamics
Volume 59, Number 20
Sunday–Tuesday, November 23–25, 2014; San Francisco, California
Session L15: Minisymposium II: Honoring the Memory of Professor Howard Brenner |
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Chair: Anthony Davis, University of Californa, San Diego Room: 3022/3024 |
Monday, November 24, 2014 3:35PM - 4:01PM |
L15.00001: Howard Brenner: Visionary researcher, profound scholar and close friend Invited Speaker: Andreas Acrivos During his long (60$+$ years) professional career, Howard Brenner made an astonishingly large number of seminal contributions in a variety of subjects such as, to name only a small fraction: particle motions in very viscous fluids, the mechanics of complex fluids, multiphase flow in porous media, emulsion rheology and many others. In my talk I shall focus on a few of his early publications in ``low-Reynolds number fluid mechanics'' which helped transform that subject from one that was originally viewed as being of only academic interest (and, therefore, ``very dull and of no practical value whatsoever'') into the presently exciting and active field of ``micro-fluidics.'' [Preview Abstract] |
Monday, November 24, 2014 4:01PM - 4:27PM |
L15.00002: Brenner's bi-velocity fluid mechanics and gradient effects in general continua Invited Speaker: Joe Goddard The field of {\it bi-velocity fluid mechanics} represents a notable contribution to the impressive scientific legacy of Professor Howard Brenner. Dating approximately from 2004, Brenner authored or co-authored some thirty papers concerned with the possible breakdown of the Navier Stokes/Fourier models of momentum and heat transport in fluids, a body of work often cited in the literature on statistical and continuum mechanics. Central to the theory is the notion that the barycentric velocity, which represents inertial terms in the Navier Stokes equations, differs generally from the velocity that represents viscous stress, denoted variously by Brenner as ``volume'' or ``work'' velocity. The present paper, based heavily on a previous publication by the present author ({\it Int. J. Eng. Sci.} {\bf 48} 1279-88, 2010), shows that, while the work of Brenner poses a challenge to certain continuum mechanical notions of material points and velocities, it is also subsumed in a more general framework of higher-gradient models of continuous media. Within this framework, linear constitutive models represent weak non-locality as an expansion in spatial wave number or Knudsen number. Some comments are also offered on Brenner's concept of a non-material volume velocity. [Preview Abstract] |
Monday, November 24, 2014 4:27PM - 4:53PM |
L15.00003: Getting Something For Nothing Invited Speaker: Howard A. Stone The Reciprocal Theorem of low-Reynolds-number hydrodynamics is a useful tool for (i) understanding some of the theoretical structures that underlie the subject and (ii) for using perturbation expansions to solve various flow problems when only an integrated quantity such as a force or a pressure drop are required. The latter applications often give the impression that you are getting something for nothing. We will highlight several uses of these ideas by Howard Brenner and then give examples of recent applications of the Reciprocal Theorem, including two examples where Marangoni stresses are important. [Preview Abstract] |
Monday, November 24, 2014 4:53PM - 5:19PM |
L15.00004: Howard Brenner's Legacy for Biological Transport Processes Invited Speaker: Johannes Nitsche This talk discusses the manner in which Howard Brenner's theoretical contributions have had, and long will have, strong and direct impact on the understanding of transport processes occurring in biological systems. His early work on low Reynolds number resistance/mobility coefficients of arbitrarily shaped particles, and particles near walls and in pores, is an essential component of models of hindered diffusion through many types of membranes and tissues, and convective transport in microfluidic diagnostic systems. His seminal contributions to macrotransport (coarse-graining, homogenization) theory presaged the growing discipline of multiscale modeling. For biological systems they represent the key to infusing diffusion models of a wide variety of tissues with a sound basis in their microscopic structure and properties, often over a hierarchy of scales. Both scientific currents are illustrated within the concrete context of diffusion models of drug/chemical diffusion through the skin. This area of theory, which is key to transdermal drug development and risk assessment of chemical exposure, has benefitted very directly from Brenner's contributions. In this as in other areas, Brenner's physicochemical insight, mathematical virtuosity, drive for fully justified analysis free of ad hoc assumptions, quest for generality, and impeccable exposition, have consistently elevated the level of theoretical understanding and presentation. We close with anecdotes showing how his personal qualities and warmth helped to impart high standards of rigor to generations of grateful research students. [Preview Abstract] |
Monday, November 24, 2014 5:19PM - 5:45PM |
L15.00005: Oscillatory Counter-Centrifugation: Effects of History and Lift Forces Invited Speaker: Ali Nadim This work is co-authored with my doctoral student Shujing Xu and is dedicated to the memory of my doctoral advisor Howard Brenner who enjoyed thought experiments related to rotating systems. Oscillatory Counter-Centrifugation refers to our theoretical discovery that within a liquid-filled container that rotates in an oscillatory manner about a fixed axis as a rigid body, a suspended particle can be made to migrate on average in the direction opposite to that of ordinary centrifugation. That is, a heavy (or light) particle can move toward (or away from) the rotation axis, when the frequency of oscillations is high enough. In this work we analyze the effects of the Basset history force and the Saffman lift force on particle trajectories and find that the counter-centrifugation phenomenon persists even when these forces are active. [Preview Abstract] |
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