Spatially resolved measurement of anisotropic granular temperature in gas-fluidized beds

Abstract This paper reports the measurement of granular temperature in gas-fluidized beds using magnetic resonance. Experiments were performed using 0.5 and 1.2 mm diameter particles (Geldarts group B and D) in both a 3-dimensional cylindrical bed and a 2-dimensional rectangular bed. Measurements were performed over a range of motion encoding times to confirm that the experiments were in the ballistic regime. The results confirm that the granular temperature arises from shear induced by the bubble motion. It was found that the hydrodynamics in the 2D and 3D geometries were significantly different with lower bubble velocities but a higher bubble temperature in the 2D bed than in the 3D bed. The granular temperature was also found to be highly anisotropic, with T z up to 10 times greater than T x or T y .

[1]  Melany L. Hunt,et al.  Local measurements of velocity fluctuations and diffusion coefficients for a granular material flow , 1995, Journal of Fluid Mechanics.

[2]  Charles S. Campbell,et al.  Granular material flows – An overview , 2006 .

[3]  Rajamani Krishna,et al.  Rise velocity of single circular-cap bubbles in two-dimensional beds of powders and liquids , 2000 .

[4]  A. Caprihan,et al.  Effects of end wall friction in rotating cylinder granular flow experiments , 2005 .

[5]  Dimitri Gidaspow,et al.  Measurement of Two Kinds of Granular Temperatures, Stresses, and Dispersion in Bubbling Beds , 2005 .

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

[7]  J M Huntley,et al.  Granular temperature profiles in three-dimensional vibrofluidized granular beds. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  S. Egelhaaf,et al.  Granular temperature distribution in a gas fluidized bed of hollow microparticles prior to onset of bubbling , 2006 .

[9]  Jam Hans Kuipers,et al.  Extension of PIV for measuring granular temperature field in dense fluidized beds , 2007 .

[10]  C. Müller,et al.  A Study of the Motion and Eruption of a Bubble at the Surface of a Two-Dimensional Fluidized Bed Using Particle Image Velocimetry (PIV) , 2007 .

[11]  Jonathan M. Huntley,et al.  NMR measurements and hydrodynamic simulations of phase-resolved velocity distributions within a three-dimensional vibrofluidized granular bed , 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[12]  S. Lasič,et al.  Autocorrelation spectra of an air-fluidized granular system measured by NMR , 2006 .

[13]  A J Sederman,et al.  Real-time measurement of bubbling phenomena in a three-dimensional gas-fluidized bed using ultrafast magnetic resonance imaging. , 2006, Physical review letters.

[14]  T. G. Drake,et al.  Granular flow: physical experiments and their implications for microstructural theories , 1991, Journal of Fluid Mechanics.

[15]  T. B. Anderson,et al.  Fluid Mechanical Description of Fluidized Beds. Equations of Motion , 1967 .

[16]  R. Mair,et al.  Measurements of grain motion in a dense, three-dimensional granular fluid. , 2001, Physical review letters.

[17]  Bernhard Blümich,et al.  Particle motion in gas-fluidized granular systems by pulsed-field gradient nuclear magnetic resonance. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Seymour,et al.  Pulsed gradient spin echo nuclear magnetic resonance imaging of diffusion in granular flow , 2000, Physical review letters.

[19]  A J Sederman,et al.  Rapid two-dimensional imaging of bubbles and slugs in a three-dimensional, gas-solid, two-phase flow system using ultrafast magnetic resonance. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Dimitri Gidaspow,et al.  Equation of state and radial distribution functions of FCC particles in a CFB , 1998 .

[21]  Siegfried Stapf,et al.  NMR Imaging in Chemical Engineering , 2006 .

[22]  Douglas J. Durian,et al.  Particle Motions in a Gas-Fluidized Bed of Sand , 1997 .

[23]  P. Fennell,et al.  Rise velocities of bubbles and slugs in gas-fluidised beds : Ultra-fast magnetic resonance imaging , 2007 .

[24]  T. L. James,et al.  CHAPTER 2 – PRINCIPLES OF NUCLEAR MAGNETIC RESONANCE , 1975 .

[25]  Lynn F. Gladden,et al.  The nature of the flow just above the perforated plate distributor of a gas-fluidised bed, as imaged using magnetic resonance , 2006 .