173 citations · 607 across the 18 of their papers we have counts for
4 papers · 1 filter
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…