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Laminar dispersion in Jeffery‐Hamel flows: Part I. Diverging channels
Author(s) -
Gill William N.,
Güceri Ülkü
Publication year - 1971
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690170141
Subject(s) - péclet number , laminar flow , dimensionless quantity , dispersion (optics) , mechanics , physics , reynolds number , flow (mathematics) , diffusion , divergence (linguistics) , position (finance) , convection , transverse plane , geometry , classical mechanics , mathematics , thermodynamics , optics , turbulence , linguistics , philosophy , finance , economics , structural engineering , engineering
Dispersion in flow in diverging channels, where the velocity decreases with axial distance is studied. Numerical experiments indicate: At sufficiently large values of the angle of divergence and Peclet number, both axial and transverse molecular diffusion play minor roles in the dispersion process, and the system is dominated by convection. This is in marked contrast to parallel wall systems. A dispersion model, given by Equation (15), is shown to exist for such flows for limited ranges of the Peclet number and angle of divergence. At sufficiently large values of dimensionless time, the dependence of concentration on both axial position and time can be represented by a single similarity coordinate. This behavior is predicted by both the numerical solutions of Equation (3) and analytical solutions of the dispersion model.