Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 1203
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Akhshik, Siamak Behzad, Mehdi and Rajabi, Majid 2016. CFD-DEM simulation of the hole cleaning process in a deviated well drilling: The effects of particle shape. Particuology, Vol. 25, p. 72.


    Akhshik, Siamak Behzad, Mehdi and Rajabi, Majid 2016. Simulation of the interaction between nonspherical particles within the CFD–DEM framework via multisphere approximation and rolling resistance method. Particulate Science and Technology, Vol. 34, Issue. 4, p. 381.


    Akiki, G. and Balachandar, S. 2016. Immersed boundary method with non-uniform distribution of Lagrangian markers for a non-uniform Eulerian mesh. Journal of Computational Physics, Vol. 307, p. 34.


    Ali, Sk Zeeshan and Dey, Subhasish 2016. Hydrodynamics of sediment threshold. Physics of Fluids, Vol. 28, Issue. 7, p. 075103.


    Amiri, Zahra Movahedirad, Salman and Shirvani, Mansour 2016. Particles mixing induced by bubbles in a gas-solid fluidized bed. AIChE Journal, Vol. 62, Issue. 5, p. 1430.


    Aragones, J. L. Steimel, J. P. and Alexander-Katz, A. 2016. Elasticity-induced force reversal between active spinning particles in dense passive media. Nature Communications, Vol. 7, p. 11325.


    Bahiraei, Mehdi 2016. A numerical study of heat transfer characteristics of CuO–water nanofluid by Euler–Lagrange approach. Journal of Thermal Analysis and Calorimetry, Vol. 123, Issue. 2, p. 1591.


    Bahiraei, Mehdi 2016. Particle migration in nanofluids: A critical review. International Journal of Thermal Sciences, Vol. 109, p. 90.


    Bahiraei, Mehdi and Hangi, Morteza 2016. Numerical investigation and optimization of flow and thermal characteristics of nanofluid within a chaotic geometry. Advanced Powder Technology, Vol. 27, Issue. 1, p. 184.


    Bai, Bofeng Li, Xing and Li, Shuiqing 2016. Computation of Supersonic Branching Flow with Aerosol Particle Separation. AIAA Journal, Vol. 54, Issue. 7, p. 2069.


    Banihashemi Tehrani, Seyed Mostafa Moosavi, Ali and Sadrhosseini, Hani 2016. Filtration of aerosol particles by cylindrical fibers within a parallel and staggered array. Microsystem Technologies, Vol. 22, Issue. 5, p. 965.


    Baryshnikov, A. Belyakov, G. V. Tairova, A. A. and Filippov, A. N. 2016. Filtration of suspension of heavy particles through a porous medium. Petroleum Chemistry, Vol. 56, Issue. 4, p. 360.


    Bocharov, O. B. and Kushnir, D. Yu. 2016. Forces acting on a stationary sphere in power-law fluid flow near the wall. Thermophysics and Aeromechanics, Vol. 23, Issue. 1, p. 83.


    Bourdillon, A.C. Verdin, P.G. and Thompson, C.P. 2016. Numerical simulations of drop size evolution in a horizontal pipeline. International Journal of Multiphase Flow, Vol. 78, p. 44.


    Breault, Ronald W. Rowan, Steven L. Monazam, Esmail and Stewart, Kyle T. 2016. Lateral particle size segregation in a riser under core annular flow conditions due to the Saffman lift force. Powder Technology, Vol. 299, p. 119.


    Chong, Kwitae Kelly, Scott D. Smith, Stuart T. and Eldredge, Jeff D. 2016. Transport of inertial particles by viscous streaming in arrays of oscillating probes. Physical Review E, Vol. 93, Issue. 1,


    Coclite, Alessandro de Tullio, Marco Donato Pascazio, Giuseppe and Decuzzi, Paolo 2016. A combined Lattice Boltzmann and Immersed boundary approach for predicting the vascular transport of differently shaped particles. Computers & Fluids, Vol. 136, p. 260.


    Corradini, Michael Zhu, Chao Fan, Liang-Shih and Jean, Rong-Her 2016. Handbook of Fluid Dynamics, Second Edition.


    Das, Prasanjit Khan, M.M.K. Saha, Suvash C. and Rasul, M.G. 2016. Thermofluid Modeling for Energy Efficiency Applications.


    Dombrovsky, Leonid A. Reviznikov, Dmitry L. and Sposobin, Andrey V. 2016. Radiative heat transfer from supersonic flow with suspended particles to a blunt body. International Journal of Heat and Mass Transfer, Vol. 93, p. 853.


    ×

The lift on a small sphere in a slow shear flow

  • P. G. Saffman (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112065000824
  • Published online: 01 March 2006
Abstract

It is shown that a sphere moving through a very viscous liquid with velocity V relative to a uniform simple shear, the translation velocity being parallel to the streamlines and measured relative to the streamline through the centre, experiences a lift force 81·2μVa2k½/v½ + smaller terms perpendicular to the flow direction, which acts to deflect the particle towards the streamlines moving in the direction opposite to V. Here, a denotes the radius of the sphere, κ the magnitude of the velocity gradient, and μ and v the viscosity and kinematic viscosity, respectively. The relevance of the result to the observations by Segrée & Silberberg (1962) of small spheres in Poiseuille flow is discussed briefly. Comments are also made about the problem of a sphere in a parabolic velocity profile and the functional dependence of the lift upon the parameters is obtained.

Copyright
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? *
×
MathJax