Variance and Skewness Evolution in Transient Taylor Dispersion

ORAL

Abstract

This talk will report on a combined numerical, experimental, and theoretical study of the variance and skewness evolution for passive scalar particles transported in pipe and channel flows, with explicit differences between these two cases illustrated and explained. We will investigate the dependence of initial conditions and Peclet number in effecting evolution dynamics within the first diffusive timescale. Questions concerning how the properties of a given initial condition determine the time required for asymptotic theory to become valid will also be addressed.

Authors

  • Keith Mertens

    University of North Carolina, Mathematics

  • Roberto Camassa

    University of North Carolina Chapel Hill, UNC, The University of North Carolina at Chapel Hill, University of North Carolina, Mathematics

  • Rich McLaughlin

    University of North Carolina Chapel Hill, University of North Carolina, University of North Carolina, Mathematics

  • Nick Moore

    Courant Institute of Mathematical Sciences

  • Matt Hernandez

    University of North Carolina, Mathematics

  • William Milliken

    University of North Carolina, Mathematics