caa a22 4500 477077323 CHVBK 20180405111441.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00118822 doi (NATIONALLICENCE)springer-10.1007/BF00118822 Lighthill James Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, United Kingdom aut Reinterpreting the basic theorem of flagellar hydrodynamics [Elektronische Daten] [James Lighthill] Lorentz [1] pioneered the representation of flows at very low Reynolds number by a surface distribution of stokeslets — whose strengths, nowadays, are computed by surface-velocity collocations. That method is here compared with a representation widely used in flagellar hydrodynamics, by a curvilinear distribution of stokeslets and dipoles along the flagellar centreline; with the velocity of each cross-section expressed as a centreline value of the combined fields of singularities beyond a certain cutoff distance. The latter is also a good representation, and offers moreover some computational advantages. This paper establishes the equivalence of the two representations, and identifies those properties of Stokes flows which make both the dipoles and the cutoff essential to that equivalence. Kluwer Academic Publishers, 1996 Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 25-34 0022-0833 30:1-2<25 1996 30 10665 https://doi.org/10.1007/BF00118822 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00118822 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lighthill James Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, United Kingdom aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/1-2(1996-03-01), 25-34 0022-0833 30:1-2<25 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer