Abstract
The linear approximation of the line continuous distribution method of singularities is proposed to treat the creeping motion of the arbitrary prolate axisymmetrical body. The analytic expressions in closed form for the flow field are obtained. The numerical results for the proiate spheroid and Cassini oval demonstrate that the convergence and the accuracy of the proposen method are better that the constant density approximation. Furthermore, it can be applied to greater slender ratio. In this paper the example is yielded to show that the linear approximation of the singularities for the density on the partitioned segments can be utilized to consider the creeping motion of the arhitrary pointed prolate axisymmetrical body.
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Wang-Yi, W., Qing, H. The linear approximation of the line continuous distribution method of singularities in creeping motion. Appl Math Mech 5, 1769–1776 (1984). https://doi.org/10.1007/BF01904920
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DOI: https://doi.org/10.1007/BF01904920