Abstract
The Taylor dispersion coefficient D¯C (above and beyond the purely molecular contribution D) arising during Poiseuille-like flow through noncircular cylindrical ducts of large aspect ratio (but otherwise arbitrary cross section) is theoretically calculated. Our study is motivated by an attempt to rationalize the remarkable fact that D¯C for a rectangular duct does not reduce to its well-known flat-plate value, D¯ ∞ C = 202H2/105D, in the limit where the aspect ratio tends to infinity [V¯ = mean velocity in duct, H = distance between plates]. Slender-body theory is used to express both the fluid velocity and concomitant Taylor dispersion fields as perturbation expansions in the small parameter e = (aspect ratio)−1 ≪ 1, following which D¯C is computed to the lowest order in e. This dispersivity is found to scale with the longer of the two characteristic duct dimensions for all cross sections save the rectangular, for which D¯C scales with the shorter dimension. This surprising result is explained by noting ...
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
