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Pearlstein, Arne J. Li, Jian-Wen 2011-05-07T11:51:41Z 2011-05-07T11:51:41Z 10000-01-01 1994 The interaction force between fluid and solid phases is studied for both steady and unsteady flow situations. As a model, solid particles are assumed to be spherical and are distributed in regular arrays. For steady flows, a numerical method is used to calculate the interaction force for Reynolds number up to about 300. For unsteady flows, an analytical method is used. To minimize errors due to artificial diffusions, a third-order accurate numerical scheme is developed for the primitive variable form of the Navier-Stokes equations. The full Navier-Stokes equations are solved numerically for steady flows past regular arrays of cylinders and spheres. The interaction force is compared with both Ergun's (1952) and Richardson-Zaki's (1954) empirical correlations commonly used in multiphase flow modeling. In general, results from these two correlations are different from each other. The difference sometimes can be as large as an order of magnitude. Limited computational resources prevented a full parametric study of 3-D problems, but it appeared that neither equation agrees with 3-D results. For 2-D staggered arrays, however, the results agree with Ergun's correlation, in all likelihood coincidentally. The interaction force for both fluid and regular arrays in general unsteady motion is obtained analytically for small Reynolds number flows. The force is shown to be composed of the steady drag, the added mass force, the Basset force, and a force directly related to the instantaneous acceleration of the mixture. Due to the presence of the last force component, the interaction force is not symmetric in terms of accelerations of the particle and the fluid. The integration kernel in the Basset force is found to decay exponentially with time, rather than with the inverse square root as is the case of a single sphere. A comparison of present results with other recent studies is also given. Made available in DSpace on 2011-05-07T11:51:41Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9503253.pdf: 6787631 bytes, checksum: 0ab253a76e860183ba4d769e2b176961 (MD5) Previous issue date: 1994 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:33:31Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:12:24-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9503253 (UMI)AAI9503253 http://hdl.handle.net/2142/18932 eng Copyright 1994 Li, Jian-Wen Engineering, Aerospace Engineering, Chemical Engineering, Mechanical The interaction forces in fluid-solid two-phase flows text Mechanical and Industrial Engineering Mechanical Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.