A comparison of integral formulations for the analysis of low Reynolds number flows

Engineering Analysis with Boundary Elements

Volumn 23, Issue 4, 1999, Pages 307-315

  Ingber, M S ^a   Mammoli, A A ^a  

^a MSC01 1070   (United States)

Author keywords

Fredholm integral equations; Indirect and direct boundary element methods; Low Reynolds number flows; Suspension flows

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; FLOW OF FLUIDS; INTEGRAL EQUATIONS; REYNOLDS NUMBER;

DIRECT TRACTION INTEGRAL EQUATION; DIRECT VELOCITY INTEGRAL EQUATION; FREDHOLM INTEGRAL EQUATIONS; INDIRECT VELOCITY INTEGRAL EQUATION;

SUSPENSIONS (FLUIDS);

EID: 0033115212     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0955-7997(98)00090-3     Document Type: Article

References (18)

1. Youngren G.K., Acrivos A. Stokes flow past a particle of arbitrary shape: a numerical method of solutions. J. Fluid Mech. 69(2):1975;377-403.
2. Power H., Miranda G. Second kind integral equation formulation of Stokes' flows past a particle of arbitrary shape. SIAM J. Appl. Math. 47(4):1987;689-698.
3. Tran-Cong T., Phan-Thien N. Stokes problems of multiparticle systems: a numerical method for arbitrary flows. Phyd. Fluids A. 1(3):1989;453-461.
4. Ingber M.S. Dynamic simulation of the hydrodynamic interaction among immersed particles in Stokes flow. Int. J. Num. Meth. Fluids. 10:1990;791-809.
5. Papathanasiou T.D. On the effective permeability of square arrays of permeable fiber tows. Int. J. Multiphase Flow. 23(1):1997;81-92.
6. Rallison J.M., Acrivos A. A Numerical Study of the Deformation and Burst of a Viscous Drop in an Extensional Flow. J. Fluid Mech. 89(1):1978;191-200.
7. Martinez M.J., Udell K.S. Axisymmetric creeping motion of drops through circular tubes. J. Fluid Mech. 210:1990;565-591.
8. Hsiao GC, Kleinman RE. Feasible error estimates in boundary element methods. In: Brebbia CA, Ingber MS, editors. Boundary element technology VII, London: Elsevier, 1992. p. 875-886.
9. Karrila S.J., Fuentes Y.O., Kim S. Parallel computation strategies for hydrodynamic interactions between rigid particles of arbitrary shape in a viscous fluid. J. Rheol. 33:1989;913-947.
10. Botte V., Power H. A second kind integral equation formulation for three-dimensional interior flows at low Reynolds number. Bound Elmnt. Comm. 6(4):1995;163-166.
11. Kim S, Karrila SJ. Microhydrodynamics: principles and selected applications. Boston: Butterworth-Heinemann, 1991.
12. Ingber M.S., Mondy L.A. Direct second kind boundary integral formulation for Stokes flow problems. Comp. Mech. 11:1993;11-27.
13. Liron N., Barta E. Motion of a rigid particle in Stokes flow; a new second-kind boundary integral formulation. J. Fluid Mech. 238:1992;579-598.
14. Kim S., Power H. A note on two boundary integral formulations for particle mobilities in Stokes flow. J. Fluid Mech. 257:1993;637-639.
15. Odqvist F.K.G. Über dir Randwetaufgaben der hydrodynamic Zäber Flüssigkeitten. Math. Z. 32:1930;329-375.
16. Ladyzhenskaya O. The mathematical theory of viscous incompressible flow. New York: Gordon and Breach, 1963.
17. Power H, Wrobel LC. Boundary integral methods in fluid mechanics, Southampton: Computational Mechanics Publications, 1995.
18. Happel J, Brenner H. Low Reynolds number hydrodynamics. Dordrecht: Martinus Nijhoff Publishers, 1983.