Abstract
We present a reduced-boundary-function method for longitudinal solute transport in symmetric laminar flows. Flow is confined by two flat plates separated by a distance of 2a or by a tube with a radius of a (Figure 1). The standard advection-diffusion equation is mapped onto the boundary (r = a and r = 0, where r is the distance from the centerline shown in Figure 1). The original problem of solving c(x,r,t) is reduced to solve the solutions of c at the boundary, and the problem dimensionality is reduced from 3 to 2. Final results show that the boundary concentration ca(x,t) = c(x, r = a,t) is advected at the mean velocity with a dispersion equal to the molecular diffusion. The centerline concentration c0(x,t) = c(x,r = 0,t) is also advected at the mean velocity, but with a dispersion much larger than the Taylor dispersion. The cross-sectional average concentration is in agreement with the classical Taylor dispersion by neglecting higher order contributions. This study is relevant to the upscaling of solute transport.
Sign-in/Register to access full text options 
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.
