Application of the Cosserat spectrum theory to Stokes flow

被引：1
|
作者：
Liu, W [1 ]
Plotkin, A [1 ]
机构：
[1] San Diego State Univ, Dept Aerosp Engn & Engn Mech, San Diego, CA 92182 USA
来源：
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1999年 / 66卷 / 03期
关键词：
D O I：
10.1115/1.2791761
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper presents an application of the Cosserat spectrum theory in elasticity to the solution of low Reynolds number (Stokes flow) problems. The velocity field is divided into two components. a solution to the vector Laplace equation and a solution associated with the discrete Cosserat eigenvectors. Analytical solutions are presented for the Stokes flow past a sphere with uniform, extensional, and linear shear freestream profiles.
引用
收藏
页码：811 / 814
页数：4
相关论文
共 50 条
  • [1] Application of the Cosserat spectrum theory to Stokes flow
    Liu, W.
    Plotkin, A.
    Journal of Applied Mechanics, Transactions ASME, 1999, 66 (03): : 811 - 814
  • [2] Application of Cosserat-spectrum theory to the weakly compressible Stokes flow past a sphere
    Liu, WS
    Plotkin, A
    JOURNAL OF ENGINEERING MATHEMATICS, 2000, 38 (02) : 155 - 172
  • [3] Application of Cosserat-spectrum theory to the weakly compressible Stokes flow past a sphere
    Wensen Liu
    Allen Plotkin
    Journal of Engineering Mathematics, 2000, 38 : 155 - 172
  • [4] Application of the Cosserat Spectrum theory to viscoelasticity
    Markenscoff, X
    Liu, WS
    Paukshto, M
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (10) : 1969 - 1980
  • [5] A slender body theory for the motion of special Cosserat filaments in Stokes flow
    Garg, Mohit
    Kumar, Ajeet
    MATHEMATICS AND MECHANICS OF SOLIDS, 2023, 28 (03) : 692 - 729
  • [6] The Cosserat Spectrum theory in thermoelasticity and application to the problem of heat flow past a rigid spherical inclusion
    Liu, WS
    Markenscoff, X
    Paukshto, M
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1998, 65 (03): : 614 - 618
  • [7] The cosserat spectrum theory in thermoelasticity and application to the problem of heat flow past a rigid spherical inclusion
    Liu, Wensen
    Markenscoff, X.
    Paukshto, M.
    Journal of Applied Mechanics, Transactions ASME, 1998, 65 (03): : 614 - 618
  • [8] A COSSERAT THEORY OF PLASTIC FLOW
    LIPPMANN, H
    ACTA MECHANICA, 1969, 8 (3-4) : 255 - &
  • [9] The Cosserat spectrum in the theory of elasticity and applications
    Markenscoff, X
    Paukshto, M
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1970): : 631 - 643
  • [10] Cosserat spectrum of the elasticity theory boundary value problem
    Valeev, V.E.
    Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, 2000, (03): : 14 - 21
12345