Inertial flow structures in a simple‐packed bed of spheres

The detailed characteristics of the interstitial velocity distributions in pores are critical to understanding heat and mass transfer in a packed bed of granular material. The velocity distributions in a pore that models a simple-packed bed were measured directly by a magnetic resonance imaging technique. With an increase in the Reynolds number from 12.17 to 59.78-204.74, the increase and decrease in main flow velocity did not correspond to the local pore geometry, as is the case with a creeping flow. This indicated that inertial forces dominate over viscous forces. For example, at the Reynolds number of 204.74, the fluid penetrated through the center of the pores like a jet with negligible change of velocity. Circulation in the surrounding stagnant spaces generated eight symmetrical eddies in the plane perpendicular to the main flow direction.

[1]  Lynn F. Gladden,et al.  Structure-flow correlations in packed beds , 1998 .

[2]  Warren E. Stewart,et al.  Optical measurements of porosity and fluid motion in packed beds , 1986 .

[3]  Mehdi Rashidi,et al.  3-D Microscopic Measurement and Analysis of Chemical Flow and Transport in Porous Media , 1996 .

[4]  Non Invasive Measurement Techniques in Porous Media , 1991 .

[5]  William G. Gray,et al.  Photoluminescent volumetric imaging: a technique for the exploration of multiphase flow and transport in porous media , 1995 .

[6]  R. Niessner,et al.  Direct 3-D measurement of the flow velocity in porous media using magnetic resonance tomography. , 2000 .

[7]  J. Bear Dynamics of Fluids in Porous Media , 1975 .

[8]  K. R. Jolls,et al.  Transition to turbulence for flow through a dumped bed of spheres , 1966 .

[9]  P. Callaghan Principles of Nuclear Magnetic Resonance Microscopy , 1991 .

[10]  Monica Moroni,et al.  Statistical mechanics with three-dimensional particle tracking velocimetry experiments in the study of anomalous dispersion. II. Experiments , 2001 .

[11]  NMR measurements of flow profiles in a coarse bed of packed spheres. , 1997, Magnetic resonance imaging.

[12]  Lynn F. Gladden,et al.  Flow and dispersion in porous media: Lattice‐Boltzmann and NMR studies , 1999 .

[13]  Lynn F. Gladden,et al.  Magnetic resonance imaging of liquid flow and pore structure within packed beds , 1997 .

[14]  Lynn F. Gladden,et al.  Local transitions in flow phenomena through packed beds identified by MRI , 2000 .

[15]  Paul T. Callaghan,et al.  Generalized approach to NMR analysis of flow and dispersion in porous media , 1997 .

[16]  Eiichi Fukushima,et al.  Nuclear magnetic resonance as a tool to study flow , 1999 .

[17]  John H. Cushman,et al.  Examination of stochastic dispersion theory by MRI in aperiodic porous media , 2000 .

[18]  V. Nakoryakov,et al.  Experimental investigation of a turbulent filtrational flow , 1991 .

[19]  Johnson,et al.  Onset and Stability of Convection in Porous Media: Visualization by Magnetic Resonance Imaging. , 1995, Physical review letters.

[20]  J. Seymour,et al.  Visualization of flow patterns of cellulose fiber suspensions by NMR imaging , 1994 .

[21]  J. Thovert,et al.  Flow along porous media by partical image velocimetry , 1993 .

[22]  L. E. Scriven,et al.  NMR imaging of velocity profiles and velocity distributions in bead packs , 1996 .