Wall and inertia corrections to the settling velocity of spheroids
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"Introductory Remarks: There is a great deal of interest in the relative motion of particles at low Reynolds numbers. The stimulus for these studies has ranged from interest in basic fluid mechanics to investigations of aerosol coagulation processes. A variety of both experimental and analytical studies have been undertaken. Most analytical studies assume that the particle pairs are settling due to gravity in an unbounded fluid while all of the experimental studies take place in tanks with finite boundaries. The experimental investigations frequently are initiated to confirm details of alternative models and hence it is essential to properly account for boundary effects. Analytical investigations of the effect of boundaries on the terminal velocity of individual spheres falling in a viscous media had been conducted1 - These studies use Stokes drag forces(Re-O) and omit inertial effects. The settling velocities of a variety of individual particles have also been measured. Particles such as spheres, cylinders, discs and others were used. Combinations of particle sizes, densities, boundary dimensions and fluid properties have been used in order to gain insight into how these parameters influence the particle terminal velocity. The objective of our experiment is to determine the combined inertia and wall effects on the terminal velocity of prolate spheroids falling normal to their axis of symmetry for circular and square cross section boundaries. This information would then be used with the ongoing investigations of the relative motion of sphere-spheroid pairs at low Reynolds number. Chapter I presents a brief description of previous analytical and experimental works on spherical and non-spherical particles falling in circular and square cross section containers, with the wall and inertia effects taken into account . Chapter II describes the facility and procedures used in the experiments including the principal characteristics of the equipment and the steps followed during the measuring period. In Chapter III the results are presented as tables and figures. Each case is analyzed and discussed. Finally, conclusions and recommendations for future studies are made in Chapter IV. Details of ancillary measurements and data reduction procedures are appended."--Page 1.
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