Modelling the motion of cylindrical particles in a nonuniform flow

The models currently used in computational fluid dynamics codes to predict solid fuel combustion rely on a spherical shape assumption. Cylinders and disks represent a much better geometrical approximation to the shape of bio-fuels such as straws and woods chips. A sphere gives an extreme in terms of the volume-to-surface-area ratio, which impacts both motion and reaction of a particle. For a nonspherical particle, an additional lift force becomes important, and generally hydrodynamic forces introduce a torque on the particle as the centre of pressure does not coincide with the centre of mass. Therefore, rotation of a nonspherical particle needs to be considered. This paper derives a model for tracking nonspherical particles in a nonuniform flow field, which is validated by a preliminary experimental study: the calculated results agree well with measurements in both translation and rotation aspects. The model allows to take into account shape details of nonspherical particles so that both the motion and the chemical reaction of particles can be modelled more reasonably. The ultimate goal of such a study is to simulate flow and combustion in biomass-fired furnaces using nonspherical particle tracking model instead of traditional sphere assumption, and thus improve the design of biomass-fired boilers.

[1]  Eckart Meiburg,et al.  The accumulation and dispersion of heavy particles in forced two‐dimensional mixing layers. Part 2: The effect of gravity , 1995 .

[2]  S. Blaser Forces on the surface of small ellipsoidal particles immersed in a linear flow field , 2002 .

[3]  I. Gallily,et al.  On the orderly nature of the motion of nonspherical aerosol particles. II. Inertial collision between a spherical large droplet and an axially symmetrical elongated particle , 1979 .

[4]  K. Higashitani,et al.  FLOC BREAKUP ALONG CENTERLINE OF CONTRACTILE FLOW TO ORIFICE , 1991 .

[5]  Goodarz Ahmadi,et al.  WALL DEPOSITION OF SMALL ELLIPSOIDS FROM TURBULENT AIR FLOWS—A BROWNIAN DYNAMICS SIMULATION , 2000 .

[6]  L. Rosendahl Using a multi-parameter particle shape description to predict the motion of non-spherical particle shapes in swirling flow , 2000 .

[7]  J. Riley,et al.  Equation of motion for a small rigid sphere in a nonuniform flow , 1983 .

[8]  Eckart Meiburg,et al.  THE ACCUMULATION AND DISPERSION OF HEAVY PARTICLES IN FORCED TWO-DIMENSIONAL MIXING LAYERS. I: THE FUNDAMENTAL AND SUBHARMONIC CASES , 1994 .

[9]  J. W. Humberston Classical mechanics , 1980, Nature.

[10]  L. Gradon,et al.  Analysis of motion and deposition of fibrous particles on a single filter element , 1988 .

[11]  P. Hughes Spacecraft Attitude Dynamics , 1986 .

[12]  N. K. Sinha,et al.  Drag on non-spherical particles: an evaluation of available methods , 1999 .

[13]  O. Levenspiel,et al.  Drag coefficient and terminal velocity of spherical and nonspherical particles , 1989 .

[14]  Gary H. Ganser,et al.  A rational approach to drag prediction of spherical and nonspherical particles , 1993 .

[15]  Howard Brenner,et al.  The Stokes resistance of an arbitrary particleIV Arbitrary fields of flow , 1964 .

[16]  H. C. Corben,et al.  Classical Mechanics (2nd ed.) , 1961 .

[17]  Juan C. Lasheras,et al.  Particle dispersion in a turbulent, plane, free shear layer , 1989 .