New descriptions of dispersion in flow through tubes: Convolution and collocation methods

✍ Scribed by J. Chih Wang; W. E. Stewart

• Publisher: American Institute of Chemical Engineers
• Year: 1983
• Tongue: English
• Weight: 520 KB
• Volume: 29
• Category: Article
• ISSN: 0001-1541
• DOI: 10.1002/aic.690290320

✦ Synopsis

The convective dispersion of a solute in steady flow through a tube is analyzed, and the concentration profile for any Peclet number is obtained as a convolution of the profile for infinite Peclet number. Close approximations are obtained for the concentration profile and its axial moments, by use of orthogonal collocation in the radial coordinate. The moments thus obtained converge rapidly, and the concentration profile less rapidly, toward exactness as the number of collocation points is increased. A two-point radial grid gives results of practical accuracy; analytical solutions are given at this order of approximation.