Boundary integral formulation for slow viscous flow in a deforming region containing a solid inclusion

Engineering Analysis with Boundary Elements

Volumn 24, Issue 1, 2000, Pages 53-63

  Primo, A R M ^a   Wrobel, L C ^a   Power, H ^b  

^a BRUNEL UNIVERSITY   (United Kingdom)

^b WESSEX INSTITUTE OF TECHNOLOGY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

SINTERING; SOL-GELS; SURFACE TENSION; VISCOUS FLOW;

VISCOUS SINTERING;

BOUNDARY ELEMENT METHOD;

EID: 0033886889     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(99)00038-7     Document Type: Article

References (31)

1. Jagota A., Scherer G.W. Viscosities and sintering rates of composite packing of spheres. J Am Ceram Soc. 78:1995;521-528.
2. Evans A.G. Considerations of inhomogeneity effects in sintering. J Am Ceram Soc. 65:1982;497-501.
3. Hsueh C.H. Sintering behaviour of powder compacts with multiheterogeneities. J Mater Sci. 21:1986;2067-2072.
4. Hsueh C.H., Evans A.G., McMeeking R.M. Influence of multiple heterogeneities on sintering rates. J Am Ceram Soc. 69:1986;C64-C66.
5. Rahaman M.N., De Jonghe L.C. Effect of rigid inclusions on the sintering of glass powder compacts. J Am Ceram Soc. 70:1987;C348-C351.
6. Jagota A., Boyes E.D., Bordia R.K. Sintering of glass powder packings with metal inclusions. Proc Mater Res Soc Symp. 249:1992;475-480.
7. Jagota A., Scherer G.W. Viscosities and sintering rates of a two-dimensional granular composite. J Am Ceram Soc. 76:1993;3123-3135.
8. Scherer G.W. Sintering with rigid inclusions. J Am Ceram Soc. 70:1987;719-725.
9. Kuiken H.K. Viscous sintering: the surface-tension-driven flow of a liquid form under the influence of curvature gradients at its surface. J Fluid Mech. 214:1990;503-515.
10. Kuiken H.K. Deforming surfaces and viscous sintering. The mathematics of deforming surfaces. 1996;75-97 Clarendon Press, Oxford.
11. van de Vorst G.A.L., Mattheij R.M.M., Kuiken H.K. A boundary element solution for two-dimensional viscous sintering. J Comp Phys. 100:1992;50-63.
12. van de Vorst G.A.L., Mattheij R.M.M. Numerical analysis of a 2-D viscous sintering problem with non-smooth boundaries. Computing. 49:1992;239-263.
13. Lorentz H.A. A general theorem on the motion of a fluid with friction and a few results derived from it. Versl. Acad. Wetensch. 5:1896;168-175. Translated and reprinted by Kuiken HK. J Engng Math 1996;30:19-24.
14. Power H., Miranda G. Second kind integral equation formulation of Stokes flows past a particle of arbitrary shape. SIAM J Appl Math. 47:1987;689-698.
15. Power H. Second kind integral equation solution of Stokes flows past n bodies of arbitrary shape, BEM IX. 1987;477-488 Springer, Berlin.
16. Karrila S.J., Fuentes Y.O., Kim S. Parallel computational strategies for hydrodynamic interactions between rigid particles of arbitrary shape in a viscous fluid. J Rheol. 33:1989;913-947.
17. Power H., Miranda G. Integral equation formulation for the creeping flow of an incompressible viscous fluid between two arbitrary closed surfaces, and a possible mathematical model for the brain fluid dynamics. J Math Anal Appl. 137:1989;1-16.
18. Karrila S.J., Kim S. Integral equations of the second kind for Stokes flow: direct solution for physical variables and removal of inherent accuracy limitations. Chem Engng Commun. 82:1989;123-161.
19. Power H. Matched-asymptotic analysis of low Reynolds number flow past a cylinder of arbitrary cross-sectional shape. Math Appl Comp. 9:1990;111-122.
20. Power H. The low Reynolds number deformation of a gas bubble in shear flow: a general approach via integral equations. Engng Anal with Boundary Elements. 16:1992;61-74.
21. Power H. The completed double layer boundary integral equation method for two-dimensional Stokes flow. IMA J Appl Math. 51:1993;123-145.
22. Mikhlin S.G. Integral equations and their application to certain problems in mechanics, mathematical physics and technology. 1957;Pergamon, London.
23. Kim S., Karrila S.J. Microhydrodynamics: principles and selected applications. 1991;Buttherworths-Heinemann, London.
24. Pozrikidis C. Boundary integral and singularity methods for linearized viscous flow. 1992;Cambridge University Press, Cambridge.
25. Power H., Wrobel L.C. Boundary integral methods in fluid mechanics. 1995;Computational Mechanics Publications, Southampton.
26. Geller A.S., Lee S.H., Leal L.G. The creeping motion of a spherical particle normal to a deformable surface. J Fluid Mech. 169:1986;27-69.
27. Aris R. Vectors, tensors, and the basic equations of fluid mechanics. 1962;Prentice-Hall, New Jersey.
28. Chang I.D., Finn R. On the solution of a class of equations occurring in continuum mechanics, with application to the Stokes paradox. Arch Ration Mech Anal. 7:1961;388-401.
29. Hsiao G.C., Kress R. On an integral-equation for the two-dimensional exterior Stokes problem. Appl Num Math. 1:1985;77-93.
30. Primo A.R.M., Wrobel L.C., Power H. Low Reynolds number deformation of viscous drops in a bounded flow region under surface tension. Math Comput Model. 1999;. in press.
31. Gomez J.E., Power H. A multipole direct and indirect BEM for 2D cavity flow at low Reynolds number. Engng Anal with Boundary Elements. 19:1997;17-31.