title: On spatial pattern of concentration distribution for Taylor dispersion process.
abstract: Taylor dispersion is a key concept in many fields. In the present paper, we characterize the pattern of the complete spatial concentration distribution for laminar tube flow; the obtained simple description is shown to represent the nature of Taylor dispersion. Importantly, we find that during the approach to the longitudinal normality of the transverse mean concentration at the time scale of R(2)/D (R is the tube radius and D is the molecular diffusivity), the solute concentration becomes uniformly distributed across a family of invariant curved transverse surfaces instead of the flat cross-sections in the traditional view. The family of curved surfaces is analytically determined, and a transformation is devised for the previously obtained analytical solution to discuss the decay of the concentration difference across the curved surfaces. The approach to a uniform concentration across the flat cross-sections to the same degree (~3% by concentration difference percentage), achieved at a time-scale of 100 R(2)/D, is shown to be the natural consequence of the longitudinal separation of the concentration contours on the curved surfaces.
authors: State Key Laboratory of Hydroscience and Engineering; Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China.|National Center for Earth-surface Dynamics and St. Anthony Falls Laboratory, University of Minnesota, Minneapolis, Minnesota 55414, USA.
authors: Zi
authors: Z
authors: Wu
authors: State Key Laboratory of Hydroscience and Engineering; Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China.
authors: Xudong
authors: X
authors: Fu
authors: State Key Laboratory of Hydroscience and Engineering; Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China.
authors: Guangqian
authors: G
authors: Wang