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  • Articles  (3)
  • 1995-1999  (3)
  • Technology  (3)
  • 1
    Electronic Resource
    Electronic Resource
    Helical distributions of stokeslets (1996)
    Springer
    Journal of engineering mathematics 30 (1996), S. 35-78 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract Helical distributions of stokeslets can valuably model microbial locomotion through a fluid, and also the flow field generated, wherever a flagellum actively executes helical undulations (as in many single-celled algae and protozoa) or where (as in many bacteria) the action of rotary motors causes a passive structure of helical shape (which may be a flagellum or else the cell body itself) to rotate. Here, previous biomechanical studies of such modes of locomotion are extended to include analyses of three-dimensional flow fields. In some cases, a rotlet field (curl of a stokeslet) needs to be incorporated in the models. For example, spirochete swimming is modelled by combined helical distributions of stokeslets and rotlets; the computed flow field being confined to within distances of less than twice the radius of the cell body's helical shape from its axis, while including a powerful jet-like interior flow through the coils of the swimming spirochete.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00118823
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  • 2
    Electronic Resource
    Electronic Resource
    Reinterpreting the basic theorem of flagellar hydrodynamics (1996)
    Springer
    Journal of engineering mathematics 30 (1996), S. 25-34 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00118822
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  • 3
    Electronic Resource
    Electronic Resource
    Ocean Tpray and the Thermodynamics of Tropical Cyclones (1999)
    Springer
    Journal of engineering mathematics 35 (1999), S. 11-42 
    Details
    ISSN: 1573-2703
    Keywords: hurricanes ; typhoons ; spray ; droplets ; evaporation.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract Serious gaps in knowledge about ocean spray at wind speeds over 40m/s remain difficult to fill by observation or experiment; yet refined study of the thermodynamics of Tropical Cyclones (including typhoons and hurricanes) requires assessment of the hypothesis that 'spray cooling' at extreme wind speeds may act to reduce (i) the initial temperature of saturated air rising in the eyewall and so also (ii) the input of mechanical energy into the airflow as a whole. Such progressive reductions at higher speeds could, for example, make any possible influence of future global warming on Tropical Cyclone intensification largely self-limiting. In order to help in extrapolation of knowledge on ocean spray to extreme wind speeds, a probabilistic analysis is introduced which allows for the effects of gusts, gravity and evaporation on droplet distributions, yet in other respects is as simple as possible. Preliminary indications from this simplified analysis appear to confirm the potential importance of spray cooling.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004383430896
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