Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 102
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Andrić, J. Lindström, S.B. Sasic, S. and Nilsson, H. 2016. Ballistic deflection of fibres in decelerating flow. International Journal of Multiphase Flow, Vol. 85, p. 57.

    Cai, Jie Yuan, Zhulin and Zhao, Xiaobao 2016. Study on two-way coupling of gas–solid two-phase flow of cylindrical particles. Powder Technology,

    Redlinger-Pohn, Jakob D. Jagiello, Lukas A. Bauer, Wolfgang and Radl, Stefan 2016. Mechanistic understanding of size-based fiber separation in coiled tubes. International Journal of Multiphase Flow, Vol. 83, p. 239.

    Abisset-Chavanne, E. Chinesta, F. Férec, J. Ausias, G. and Keunings, R. 2015. On the multiscale description of dilute suspensions of non-Brownian rigid clusters composed of rods. Journal of Non-Newtonian Fluid Mechanics, Vol. 222, p. 34.

    Beckers, Koenraad F. Koch, Donald L. and Tester, Jefferson W. 2015. Slender-body theory for transient heat conduction: theoretical basis, numerical implementation and case studies. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Vol. 471, Issue. 2184, p. 20150494.

    Delmotte, Blaise Climent, Eric and Plouraboué, Franck 2015. A general formulation of Bead Models applied to flexible fibers and active filaments at low Reynolds number. Journal of Computational Physics, Vol. 286, p. 14.

    Dong, Ruo-Yu and Cao, Bing-Yang 2015. Superhigh-speed unidirectional rotation of a carbon nanotube in a sheared fluid and its decoupled dynamics. RSC Adv., Vol. 5, Issue. 108, p. 88719.

    Martin, Joshua J. Riederer, Michael S. Krebs, Melissa D. and Erb, Randall M. 2015. Understanding and overcoming shear alignment of fibers during extrusion. Soft Matter, Vol. 11, Issue. 2, p. 400.

    Njobuenwu, D.O. and Fairweather, M. 2015. Dynamics of single, non-spherical ellipsoidal particles in a turbulent channel flow. Chemical Engineering Science, Vol. 123, p. 265.

    Phan-Thien, Nhan 2015. Rheology of Non-Spherical Particle Suspensions.

    Andrić, J. Lindström, S.B. Sasic, S. and Nilsson, H. 2014. Rheological properties of dilute suspensions of rigid and flexible fibers. Journal of Non-Newtonian Fluid Mechanics, Vol. 212, p. 36.

    Do-Quang, M. Amberg, G. Brethouwer, G. and Johansson, A. V. 2014. Simulation of finite-size fibers in turbulent channel flows. Physical Review E, Vol. 89, Issue. 1,

    Dong, Ruo-Yu and Cao, Bing-Yang 2014. Anomalous orientations of a rigid carbon nanotube in a sheared fluid. Scientific Reports, Vol. 4, p. 6120.

    Doostmohammadi, A. and Ardekani, A. M. 2014. Reorientation of elongated particles at density interfaces. Physical Review E, Vol. 90, Issue. 3,

    Nguyen, H. and Fauci, L. 2014. Hydrodynamics of diatom chains and semiflexible fibres. Journal of The Royal Society Interface, Vol. 11, Issue. 96, p. 20140314.

    Singh, Vikram Koch, Donald L. Subramanian, Ganesh and Stroock, Abraham D. 2014. Rotational motion of a thin axisymmetric disk in a low Reynolds number linear flow. Physics of Fluids, Vol. 26, Issue. 3, p. 033303.

    Andrić, Jelena Fredriksson, Sam T. Lindström, Stefan B. Sasic, Srdjan and Nilsson, Håkan 2013. A study of a flexible fiber model and its behavior in DNS of turbulent channel flow. Acta Mechanica, Vol. 224, Issue. 10, p. 2359.

    Philippe, A. M. Baravian, C. Bezuglyy, V. Angilella, J. R. Meneau, F. Bihannic, I. and Michot, L. J. 2013. Rheological Study of Two-Dimensional Very Anisometric Colloidal Particle Suspensions: From Shear-Induced Orientation to Viscous Dissipation. Langmuir, Vol. 29, Issue. 17, p. 5315.

    Salahuddin, Asif Wu, Jingshu and Aidun, C. K. 2013. Study of semidilute fibre suspension rheology with lattice-Boltzmann method. Rheologica Acta, Vol. 52, Issue. 10-12, p. 891.

    Tsujimoto, Y. Yoshida, A. Kobayashi, M. and Adachi, Y. 2013. Rheological behavior of dilute imogolite suspensions. Colloids and Surfaces A: Physicochemical and Engineering Aspects, Vol. 435, p. 109.


The motion of long slender bodies in a viscous fluid. Part 2. Shear flow

  • R. G. Cox (a1)
  • DOI:
  • Published online: 01 March 2006

A long slender axisymmetric body is considered placed at rest in a general linear flow in such a manner that the undisturbed fluid velocity is identically zero on the body axis. Formulae for the total force and torque on the body are found as an expansion in terms of a small parameter κ defined as the radius-to-length ratio of the body. These general results are used to determine the resistance to axial rotation of the body and also the equivalent axis ratio of the body for motion in a shear flow.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *