research

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My research field is small scale fluid mechanics. My postdoc advisors are Dr. Nick Moore and Dr. Nick Cogan. I am an affiliate of the Geophysical Fluid Institute at Florida State University. My postdoctoral research focuses on water microfiltration in wastewater treatment facilities.

My Ph.D. advisors were Dr. Roberto Camassa and Dr. Richard McLaughlin and I was a member of the Joint Applied Mathematics and Marine Sciences Fluids Lab at the University of North Carolina at Chapel Hill. My dissertation focused on the spreading of passive tracers in pressure-driven laminar flow in capillary tubes; in particular, I modeled how the cross-sectional geometry affects the tracer spreading.

Throughout my education both in Italy and at Chapel Hill, I have worked closely with undergraduate and graduate students, postdoctoral researchers, and faculty members. Starting from my B.Eng. thesis, my research projects have had analytical, numerical, as well as experimental components, often developed in a joint effort with other researchers. I thoroughly enjoy collaborating with other scholars, and hope to expand my research interests to be even more interdisciplinary moving forward.

I am interested in applied fluid dynamics problems, mathematical modeling of physical and social systems, and partial differential equations. 

For more information about my research experience and interests, please download my CV below.

 

publications

Authors listed in alphabetical order in accordance with the 2009 American Mathematical Society statement on the Culture of Research and Scholarship in Mathematics.  

[5] F. Bernardi.
Space/Time Evolution in the Passive Tracer Problem.
Doctoral dissertation. University of North Carolina at Chapel Hill. August, 2018.
Online version.

[4]   M. Aminian, F. Bernardi, R. Camassa, D.M. Harris, R.M. McLaughlin.
       Experimental procedure for the diffusion of passive tracers in laminar shear flow.
       Journal of Visualized Experiments, JoVE Engineering: 135, (2018).
PDF version (manuscript) - or - open access version (video & manuscript).

[3]   M. Aminian, F. Bernardi, R. Camassa, D.M. Harris, R.M. McLaughlin.
       How boundaries shape chemical delivery in microfluidics. 
       Science 354.6317 (2016): 1252-1256.
       PDF version - or - Journal version.

[2]   M. Aminian, F. Bernardi, R. Camassa, R.M. McLaughlin.
       Squaring the Circle: Geometric Skewness and Symmetry Breaking for Passive Scalar Transport in Ducts and Pipes. 
       Physical Review Letters 115, 154503 (2015).
       PDF version - or - Journal version.

[1]   F. Bernardi
      Taylor Dispersion of a Passive Scalar in Channel Flow: Exact Solutions for Distributional Moments at All Times
      Master’s of Engineering Thesis.  Politecnico di Milano - Milano (Italy). July, 2013.
      Online version.