Associate professor of Mechanical Engineering and Engineering Science, University of North Carolina at Charlotte
Born: January 24, 1969
1991: B.S., Mechanical & Aerospace Engineering, Cornell University, Ithaca, NY.
1992: M.S., Mechanical Engineering, California Institute of Technology, Pasadena, CA.
1998: Ph.D., Mechanical Engineering, California Institute of Technology, Pasadena, CA.
Differential geometric methods in analytical mechanics Biologically-inspired robotic locomotion in fluids Nonlinear dynamics and control problems in systems biology
Honors & Awards:
2005: National Science Foundation CAREER Award
2006: Presidential Early Career Award for Scientists and Engineers (PECASE)
2007: UIUC Engineering Council Excellence in Undergraduate Advising Award
August 2007 – July 2010: Charlotte Research Institute Fellow
American Mathematical Society American Physical Society Institute of Electrical and Electronics Engineers International Federation of Nonlinear Analysts Mathematical Association of America Society for Industrial and Applied Mathematics
, Kelly S. D.
Dynamics and Self-Propulsion of a Spherical Body Shedding Coaxial Vortex Rings in an Ideal Fluid
2013, vol. 18, no. 1-2, pp. 21-32
We describe a model for the dynamic interaction of a sphere with uniform density and a system of coaxial circular vortex rings in an ideal fluid of equal density. At regular intervals in time, a constraint is imposed that requires the velocity of the fluid relative to the sphere to have no component transverse to a particular circular contour on the sphere. In order to enforce this constraint, new vortex rings are introduced in a manner that conserves the total momentum in the system. This models the shedding of rings from a sharp physical ridge on the sphere coincident with the circular contour. If the position of the contour is fixed on the sphere, vortex shedding is a source of drag. If the position of the contour varies periodically, propulsive rings may be shed in a manner that mimics the locomotion of certain jellyfish. We present simulations representing both cases.