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Longitudinal and lateral dispersion in an isotropic porous medium

Published online by Cambridge University Press:  28 March 2006

D. R. F. Harleman  and
R. R. Rumer
D. R. F. Harleman
Affiliation:
Hydrodynamics Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology
R. R. Rumer
Affiliation:
Hydrodynamics Laboratory, Department of Civil Engineering, Massachusetts Institute of Technology
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Abstract

Coefficients of longitudinal and lateral dispersion were measured for steady uniform laminar flow through an isotropic porous medium. A unique experimental method for measuring lateral dispersion is described. It is found that the ratio of the coefficient of longitudinal dispersion D1 to the coefficient of lateral dispersion D2 is given by $\frac {D_1}{D_2} = \lambda \Re ^n$ where λ and n are dimensionless coefficients dependent upon the pore-system geometry, and [real ] is the Reynolds number based on the seepage velocity, the average grain diameter, and the kinematic viscosity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 16 , Issue 3 , July 1963 , pp. 385 - 394
Copyright
© 1963 Cambridge University Press

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