caa a22 4500 397572360 CHVBK 20180308164845.0 cr unu---uuuuu 161202e199611 xx s 000 0 eng 10.1093/qjmam/49.4.593 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.4.593 STEADY STOKES FLOW IN AN ANNULAR CAVITY [Elektronische Daten] [T. S. KRASNOPOLSKAYA, V. V. MELESHKO, G. W. M. PETERS, H. E. H. MEIJER] This paper addresses a general analytical method of superposition for the study of two-dimensional creeping flows in a wedge-shaped cavity a≤r≤b, ∣Θ∣≤Θ0 caused by tangential velocities of its curved walls. The method is illustrated by several numerical examples; the rate of convergence and the accuracy of fulfilling the boundary conditions are investigated. The main objective is to demonstrate the advantages of the method of superposition when analysing streamline patterns and the velocity-field distribution in the whole domain, including the Moffatt eddies near corner points. The equations for the positions of the stagnation and separation points are written analytically. The streamline patterns for uniform velocities at the top and the bottom walls are shown graphically. These patterns represent the transition from the corner eddies into internal eddies. © Oxford University Press Articles nationallicence KRASNOPOLSKAYA T. S. Centre for Polymers and Composites, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands aut MELESHKO V. V. Centre for Polymers and Composites, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands aut PETERS G. W. M. Centre for Polymers and Composites, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands aut MEIJER H. E. H. Centre for Polymers and Composites, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands aut The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/4(1996-11), 593-619 0033-5614 49:4<593 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.4.593 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.4.593 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- KRASNOPOLSKAYA T. S. Centre for Polymers and Composites, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- MELESHKO V. V. Centre for Polymers and Composites, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- PETERS G. W. M. Centre for Polymers and Composites, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- MEIJER H. E. H. Centre for Polymers and Composites, Eindhoven University of Technology, Postbus 513, 5600 MB Eindhoven, The Netherlands aut NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/4(1996-11), 593-619 0033-5614 49:4<593 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