Howard A. Stone
Vicky Joseph Professor of Engineering and Applied Mathematics
B.S., 1982, Chemical Engineering, University of California at DavisPh.D., 1988, Chemical Engineering, California Institute of Technology
Postdoctoral Fellow 1989, Department of Applied Mathematics and Theoretical Physics, University of Cambridge
Fluid motions dominated by viscosity, so-called low-Reynolds-number flows, have many applications, including the lubricating motions important to the operation of mechanical equipment (and joints), coating flows important to a myriad of industrial applications, and flows and transport processes in microdevices (MEMS) that are finding many new applications owing to their use for handling small quantities of (possibly expensive) liquids and for manipulating polymers. The flow of many suspensions are also often dominated by viscous effects as are the way in which fluid moves in foams and dense colloidal suspensions. Professor Stone and his research group actively work on projects in each of these areas of fluid dynamics. Several of the projects combine theory and experiment in order to more fully explore the limits of both.
Another common theme of viscous flow theory being pursued by Professor Stone and his collaborators is the dynamics of fluid-fluid interfaces. This research includes analytical and numerical studies (often using integral equation methods) of (1) the stretching and breakup of fluid threads and (2) the effect of electric fields on drops and other fluid-fluid interfaces. Because a complete understanding of some viscously dominated flows (such as lift forces) may require incorporating the influence of inertia, Professor Stone also uses asymptotic methods to study flows at small, but finite, Reynolds numbers.
Many biologically inspired problems occur in the viscously dominated flow limit. Professor Stone has studied several problems concerning the flow of lipid monolayers and bilayers, and has investigated the motions of particles suspended in such interfacial layers. This research area is actively pursued by researchers at the interface of chemistry, physics and engineering.
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