69 citations · 108 across the 6 of their papers we have counts for
10 papers
The consequences of finite-time proper orthogonal decomposition for an extensively chaotic flow field
Andrew Duggleby, Mark R. Paul
The use of proper orthogonal decomposition (POD) to explore the complex fluid flows that are common in engineering applications is increasing and has yielded new physical insights.…
The Stochastic Dynamics of Rectangular and V-shaped Atomic Force Microscope Cantilevers in a Viscous Fluid and Near a Solid Boundary
M. T. Clark, M. R. Paul
Using a thermodynamic approach based upon the fluctuation-dissipation theorem we quantify the stochastic dynamics of rectangular and V-shaped microscale cantilevers immersed in a v…
The Stochastic Dynamics of an Array of Atomic Force Microscopes in a Viscous Fluid
M. T. Clark, M. R. Paul
We consider the stochastic dynamics of an array of two closely spaced atomic force microscope cantilevers in a viscous fluid for use as a possible biomolecule sensor. The cantileve…
Dynamics of propagating turbulent pipe flow structures. Part II: Relaminarization
A. Duggleby, K. S. Ball, M. R. Paul
The dynamical behavior of propagating structures, determined from a Karhunen-Lo`eve decomposition, in turbulent pipe flow undergoing reverse transition to laminar flow is investiga…
Dynamics of propagating turbulent pipe flow structures. Part I: Effect of drag reduction by spanwise wall oscillation
A. Duggleby, K. S. Ball, M. R. Paul
The results of a comparative analysis based upon a Karhunen-Loève expansion of turbulent pipe flow and drag reduced turbulent pipe flow by spanwise wall oscillation are presented.…
The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation
M. R. Paul, M. T. Clark, M. C. Cross
The stochastic dynamics of micron and nanoscale cantilevers immersed in a viscous fluid are quantified. Analytical results are presented for long slender cantilevers driven by Brow…