FAN Tian-you. An Application of the Generalized Hydrodynamics for Soft-Matter Quasicrystals—Flow Past a Cylinder[J]. Applied Mathematics and Mechanics, 2017, 38(3): 265-275. doi: 10.21656/1000-0887.370251
Citation: FAN Tian-you. An Application of the Generalized Hydrodynamics for Soft-Matter Quasicrystals—Flow Past a Cylinder[J]. Applied Mathematics and Mechanics, 2017, 38(3): 265-275. doi: 10.21656/1000-0887.370251

An Application of the Generalized Hydrodynamics for Soft-Matter Quasicrystals—Flow Past a Cylinder

doi: 10.21656/1000-0887.370251
Funds:  The National Natural Science Foundation of China(11272053)
  • Received Date: 2016-08-14
  • Rev Recd Date: 2016-09-29
  • Publish Date: 2017-03-15
  • An application of the generalized hydrodynamics for soft-matter quasicrystals with 12-fold symmetry—flow past a cylinder, was demonstrated by means of an alternating procedure, and a zeroth-order approximate analytic solution was obtained, in which the classical Oseen solution was used. The flow velocity field and the phonon stress field were approximately determined, and the possible solution of the phason stress field was also discussed. At last a possible modification to dislocation of soft-matter quasicrystals due to the present solution was considered.
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  • [1]
    范天佑. 软物质准晶广义流体动力学方程组[J]. 应用数学和力学, 2016,37(4): 331-344.(FAN Tian-you. Equation systems of generalized hydrodynamics for soft-matter quasicrystals[J]. Applied Mathematics and Mechanics,2016,37(4): 331-344.(in Chinese))
    [2]
    ZENG Xiang-bing, Ungar G, LIU Yong-song, et al. Supramolecular dendritic liquid quasicrystals[J]. Nature,2004,428: 157-160.
    [3]
    Takano A, Kawashima W, Noro A, et al. A mesoscopic Archimedian tiling having a complexity in polymeric stars[J]. Journal of Polymer Science Part B: Polymer Physics,2005,43(18): 2427-2432.
    [4]
    Hayashida K, Dotera T, Takano A, et al. Polymeric quasicrystal: mesoscopic quasicrystalline tiling in ABC star polymers[J]. Physical Review Letters,2007,98: 195502. doi: 10.1103/PhysRevLett.98.195502.
    [5]
    Talapin D V, Shevechenko E V, Bodnarchuk M I, et al. Quasicrystalline order in self-assembled binary nanoparticle superlattices[J]. Nature,2009,461: 964-967.
    [6]
    Fischer S, Exner A, Zielske K, et al. Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry[J]. Proceedings of the National Academy of Sciences of the United States of America,2011,108(5): 1810-1814.
    [7]
    FAN Tian-you. Mathematical Theory of Elasticity of Quasicrystals and Its Applications[M]. Beijing: Science Press, 2010.
    [8]
    Oseen C W. ber die Stokes’ sche formel, und über eine verwandte Aufgabe in der Hydrodynamik[J]. Arkiv f?r Matematik, Astronomi och Fysik,1910,6(29).
    [9]
    Sleozkin N A. Incompressible Viscous Fluid Dynamics [M]. Chapter 7. Moscow: Gostehizdat Press, 1959.(in Russian).
    [10]
    Kochin N E, Kibel’ I A, Rose N V. Theoretical Fluid Mechanics [M]. Vol2. Moscow: Governing Press of Physics-Mathematics, 1963: 516-534.(in Russian)
    [11]
    FAN Tian-you. Generalized Dynamics of Soft-Matter Quasicrystals—Mathematical Models and Solutions [M]. Beijing: Beijing Institute of Technology Press, 2017.
    [12]
    Li X F, Fan T Y. Dislocations in the second kind two-dimensional quasicrystals of soft matter[J]. Physica B: Physics of Condebsed Matter,2016,502: 175-180.
    [13]
    Cheng H, Fan T Y, Wei H. Characters of deformation and motion of soft-matter quasicrystals[J]. Results in Physics,2016.
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