caa a22 4500 39757262X CHVBK 20180308164845.0 cr unu---uuuuu 161202e199605 xx s 000 0 eng 10.1093/qjmam/49.2.179 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.2.179 STOKES FLOW IMPINGING ON A SPHERICAL CAP ON A PLANE WALL [Elektronische Daten] [A. W. EL-KAREH, T. W. SECOMB] Axisymmetric Stokes flow impinging upon a spherical cap on a solid plane wall is analysed. An analytical integral expression for the streamfunction is obtained from separation of variables in toroidal coordinates; Mehler-Fock transforms are used in applying the boundary conditions. Streamlines are shown for spherical caps ranging from very flat to very round. Regions of recirculation are found near the edges of caps fuller than a hemisphere. The pressure distribution on the cap, and the net force in the axial direction, are also determined for a range of shapes. The axial force is proportional to the volume of caps of fixed shape, but relatively insenstiive to the degree of flattening for caps of fixed volume. Implications of the results for the deformation of red blood cells and other deformable particles are examined © Oxford University Press Articles nationallicence EL-KAREH A. W. Department of Physiology, University of Arizona, Tucson, Arizona 85724, USA aut SECOMB T. W. Department of Physiology, University of Arizona, Tucson, Arizona 85724, USA aut The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/2(1996-05), 179-183 0033-5614 49:2<179 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.2.179 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.2.179 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- EL-KAREH A. W. Department of Physiology, University of Arizona, Tucson, Arizona 85724, USA aut NATIONALLICENCE 700 1- SECOMB T. W. Department of Physiology, University of Arizona, Tucson, Arizona 85724, USA aut NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/2(1996-05), 179-183 0033-5614 49:2<179 1996 49 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford