Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 17
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Karpov, V. G. 2015. Understanding the movements of metal whiskers. Journal of Applied Physics, Vol. 117, Issue. 23, p. 235303.


    Hormozi, Sarah and Ward, Michael J. 2014. A hybrid asymptotic-numerical method for calculating drag coefficients in 2-D low Reynolds number flows. Journal of Engineering Mathematics,


    Hadjesfandiari, Ali R. Dargush, Gary F. and Hajesfandiari, Arezoo 2013. Consistent skew-symmetric couple stress theory for size-dependent creeping flow. Journal of Non-Newtonian Fluid Mechanics, Vol. 196, p. 83.


    Elkamel, A. Bellamine, F.H. and Subramanian, V.R. 2011. Computer facilitated generalized coordinate transformations of partial differential equations with engineering applications. Computer Applications in Engineering Education, Vol. 19, Issue. 2, p. 365.


    Kohr, Mirela Raja Sekhar, G. P. and Wendland, Wolfgang L. 2010. Rigorous estimates for the 2D Oseen-Brinkman transmission problem in terms of the Stokes-Brinkman expansion. Mathematical Methods in the Applied Sciences, Vol. 33, Issue. 18, p. 2225.


    Kohr, Mirela Prakash, Jai Raja Sekhar, G.P. and Wendland, Wolfgang L. 2009. Expansions at small Reynolds numbers for the flow past a porous circular cylinder. Applicable Analysis, Vol. 88, Issue. 7, p. 1093.


    Kohr, Mirela Wendland, Wolfgang L. and Raja Sekhar, G. P. 2009. Boundary integral equations for two-dimensional low Reynolds number flow past a porous body. Mathematical Methods in the Applied Sciences, Vol. 32, Issue. 8, p. 922.


    Champmartin, Stéphane and Ambari, Abdelhak 2007. Kinematics of a symmetrically confined cylindrical particle in a “Stokes-type” regime. Physics of Fluids, Vol. 19, Issue. 7, p. 073303.


    Beaudoin, Anthony Huberson, Serge and Rivoalen, Elie 2006. From Navier–Stokes to Stokes by means of particle methods. Journal of Computational Physics, Vol. 214, Issue. 1, p. 264.


    Dargush, G.F. and Grigoriev, M.M. 2001. Computational Fluid and Solid Mechanics.


    Dargush, G.F. and Grigoriev, M.M. 2000. A poly-region boundary element method for two-dimensional Boussinesq flows. Computer Methods in Applied Mechanics and Engineering, Vol. 190, Issue. 8-10, p. 1261.


    Grigoriev, M. M. and Dargush, G. F. 1999. A poly-region boundary element method for incompressible viscous fluid flows. International Journal for Numerical Methods in Engineering, Vol. 46, Issue. 7, p. 1127.


    Ta§eli, H. and Demiralp, M. 1997. A new approach to the classical Stokes flow problem: Part I Methodology and first-order analytical results. Journal of Computational and Applied Mathematics, Vol. 78, Issue. 2, p. 213.


    Kropinski, M. C. A. Ward, Michael J. and Keller, Joseph B. 1995. A Hybrid Asymptotic-Numerical Method for Low Reynolds Number Flows Past a Cylindrical Body. SIAM Journal on Applied Mathematics, Vol. 55, Issue. 6, p. 1484.


    Power, Henry and Miranda, Guillermo 1992. Non-singular second kind integral equation for the two-dimensional exterior Stokes flow. Engineering Analysis with Boundary Elements, Vol. 10, Issue. 3, p. 187.


    Pozrikidis, C. 1988. The flow of a liquid film along a periodic wall. Journal of Fluid Mechanics, Vol. 188, Issue. -1, p. 275.


    Pozrikidis, C. 1987. Creeping flow in two-dimensional channels. Journal of Fluid Mechanics, Vol. 180, Issue. -1, p. 495.


    ×
  • Journal of Fluid Mechanics, Volume 164
  • March 1986, pp. 401-427

Low-Reynolds-number flow past cylindrical bodies of arbitrary cross-sectional shape

  • S. H. Lee (a1) (a2) and L. G. Leal (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112086002616
  • Published online: 01 April 2006
Abstract

A numerical implementation of the method of matched asymptotic expansions is proposed to analyse two-dimensional uniform streaming flow at low Reynolds number past a straight cylinder (or cylinders) of arbitrary cross-sectional shape. General solutions for both the Stokes and Oseen equations in two dimensions are expressed in terms of a boundary distribution of fundamental single- and double-layer singularities. These general solutions are then converted to integral equations for the unknown distributions of singularity strengths by application of boundary conditions at the cylinder surface, and matching conditions between the Stokes and Oseen solutions. By solving these integral equations, using collocation methods familiar from three-dimensional application of ‘boundary integral’ methods for solutions of Stokes equation, we generate a uniformly valid approximation to the solution for the whole domain.

We demonstrate the method by considering, as numerical examples, uniform flow past an elliptic cylinder, uniform flow past a cylinder of rectangular cross-section, and uniform flow past two parallel cylinders which may be either equal in radius, or of different sizes.

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