Research interests (sorted alphabetically):
1. BUCKLING OF THIN, VISCOUS FILMS: Pull on a piece of Saran wrap and you will see a series of wrinkles develop with roughly evenly spaced crests. Comparable buckling behavior is also possible when considering thin, viscous films. The analogy between one and the other class of problems is termed the Stokes-Rayleigh analogy and enjoys a rich history. In either case, an effective analytical tool is the Foppl-von Karman equation, which describes out-of-plane deformation due to in-plane shear. In its fluidic encarnation, the Foppl-von Karman equation possess unusual singularities, but may still exhibit a robust agreement with analogue laboratory measurements. (More info).
2. CONTINUUM MODELS OF TRAFFIC FLOW: As with fluid mechanics, a fruitful avenue for understanding traffic flow is to model the stream of particles (in this case vehicles) as a continuum. One may thereby borrow ideas and analytical techniques familiar from shallow water theory and gasdynamics in understanding, for example, the complicated behavior of "phantom jams," which arise in the absence of bottlenecks and lane closures. This information may in turn be incorporated in sophisticated traffic control algorithms that seek to maximize the throughput efficiency of modern roadways. (More info).
3. GRAVITY CURRENT AND INTRUSIONS: Gravity currents, horizontal flows driven by small density differences, are ubiquitous in the natural and man-made environment. (Sea breeze fronts and saline wedges in estuaries offer two common examples). An important goal of my research is to characterize the properties of gravity currents (e.g. their speed and shape) based on the corresponding initial conditions using numerical, experimental and/or theoretical modeling. (More info).
4. INTERNAL GRAVITY WAVES: Throw a pebble into a body of water and you will observe a series of concentric waves emanating from the point of impact. In a similar fashion, waves can be excited inside a fluid that exhibits a continuous density-stratification of density e.g. the ocean or atmosphere. Understanding the dynamics of these waves, e.g. how they are generated by oscillating solid bodies and how to efficiently decompose a wavefield into its modal constituents, remain topics of keen interest that have a particular bearing on tidal conversion. (More info).
5. NATURAL VENTILATION/ARCHITECTURAL FLUID MECHANICS: Strategies for ventilating modern buildings without energy-intensive equipment are being rapidly developed, but many of the fundamental theoretical issues underlying this technology remain unresolved. In particular, it is unclear how to best optimize system performance given that real buildings have a complicated internal geometry and are forced by a combination of internal and external factors. I plan in future to examine these issues, particularly those concerning buoyancy-driven turbulent flow, using a combination of theory and lab- or full-scale experiment. (More info).
6. PLASTRON RESPIRATION BY AQUATIC INSECTS: Using tools familiar to engineers e.g. Laplace's and Bernoulli's equations, one can gain particular insights into the phenomenon of plastron respiration, which allows select species of insects to breathe underwater without benefit of gills. In extreme cases (e.g. Neoplea striola, a backswimmer found in New England), insects can remain submerged for long periods of time, i.e. several months or more. Research in this area is inherently multidisciplinary requiring a combination of mechanics, chemistry and biology. (More info).
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