caa a22 4500 477077463 CHVBK 20180405111442.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00118833 doi (NATIONALLICENCE)springer-10.1007/BF00118833 Davis A. Mathematics Department, University of Alabama, 35487-0350, Tuscaloosa, AL, U.S.A. aut The use of stokeslets to describe the arbitrary translation of a disk near a plane wall [Elektronische Daten] [A. Davis] A previously presented method is extended to describe the fully three-dimensional Stokes flow generated by the translation in any direction of an arbitrarily oriented disk in fluid bounded by a plane wall. The velocity field is represented solely in terms of stokeslet distributions on the disk, modified to take account of the bounding wall according to the century-old idea of Lorentz. Sets of integral equations of the second kind, not all disjoint, are obtained for the Abel transforms in each Fourier mode of the density functions. However, only a few modes need be considered in determining the flow field to order D -3, where D is the distance of the disk axis from the wall. Less detail is required to evaluate the drag force and torque experienced by the disk. Kluwer Academic Publishers, 1996 Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 239-252 0022-0833 30:1-2<239 1996 30 10665 https://doi.org/10.1007/BF00118833 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00118833 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Davis A. Mathematics Department, University of Alabama, 35487-0350, Tuscaloosa, AL, U.S.A aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 239-252 0022-0833 30:1-2<239 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer