Cylindrical cell model for the hydrodynamics of particle assemblages at intermediate Reynolds numbers
Journal Article
·
· AIChE J.; (United States)
OSTI ID:5830826
The spherical cell model for transport in assemblages of spheres, which stems from the low Reynolds number hydrodynamics, has a serious physical limitation when extended to the range of intermediate Reynolds numbers. Spherical symmetry cannot persist around a sphere, given a definite direction of convection. The boundary conditions of the spherical cell model are inappropriate and a cubic cell model would best represent the system. However, in order to avoid undue mathematical difficulties peculiar to three-dimensional problems, a cylindrical cell model is proposed. A numerical solution of the Navier-Stokes equations expressed in vorticity-stream function variables has been performed in conjunction with the cylindrical cell model for various values of porosity and Reynolds number. A much better agreement of the drag coefficient with experimental results is obtained by the cylindrical cell model than by the spherical cell model.
- Research Organization:
- Carnegie-Mellon Univ., Pittsburgh, PA
- OSTI ID:
- 5830826
- Journal Information:
- AIChE J.; (United States), Journal Name: AIChE J.; (United States) Vol. 28:2; ISSN AICEA
- Country of Publication:
- United States
- Language:
- English
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