An Approximate Analysis of Laminar Dispersion in Circular Tubes

[+] Author and Article Information
J. S. Yu

School of Engineering, Department of Mechanical Engineering, West Virginia Institute of Technology, Montgomery, W. Va.

J. Appl. Mech 43(4), 537-542 (Dec 01, 1976) (6 pages) doi:10.1115/1.3423925 History: Received December 01, 1975; Revised April 01, 1976; Online July 12, 2010


The combined effects of convection and diffusion for dispersion on mass transport in fully developed laminar flow through circular tubes are investigated. The present method, which in general may be used to yield solutions at any arbitrary dimensionless time, in its zeroth-order approximation is identical to Taylor’s analysis for the average concentration. Solutions to the basic differential equation for an initial input of solute either concentrated at a section of the tube or uniformly distributed in the form of a slug of finite axial extension are developed. Numerical results for the former input are presented over a large range of dimensionless time and Peclet numbers. The time limitations of Taylor’s solution and Lighthill’s small time approximation [15] are placed on more reliable quantitative bases by comparison with the present calculations.

Copyright © 1976 by ASME
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