DOI: 10.1017/s0022112090000234. Viscous sintering: the surface-tension-driven flow of a liquid form under the influence of curvature gradients at its surface

Viscous sintering: the surface-tension-driven flow of a liquid form under the influence of curvature gradients at its surface

10.1017/s0022112090000234

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

A boundary-element method is applied to solve the equations describing the deformation of a two-dimensional liquid region under the influence of gradients of the curvature of its outer boundary. This research is motivated by a desire to obtain a better understanding of viscous sintering processes in which a granular compact is heated to a temperature at which the viscosity of the constituent material becomes low enough for surface tension to cause adjacent particles to deform and coalesce. The boundary-element method is capable of showing how a moderately curved initial shape transforms itself into a circle. Initial shapes showing more extreme curvature gradients, which are relevant in the initial stages of a sintering process, cannot be dealt with by the boundary-element method in its present form. The numerical solution of the continuous model shows a tendency to create oscillations in the outer boundary of the liquid region. On the other hand, an analytical small-amplitude analysis shows that rapid oscillations vanish exponentially fast.

Bibliography

Kuiken, H. K. (1990). Viscous sintering: the surface-tension-driven flow of a liquid form under the influence of curvature gradients at its surface. Journal of Fluid Mechanics, 214, 503â515.

Authors 1

H. K. Kuiken (first)

References 16 Referenced 72

Reed, J. S. 1988 Introduction to the Principles of Ceramic Processing .John Wiley & Sons.
Scherer, G. W. 1984 J. Am. Ceram. Soc. 67,709–715. (10.1111/j.1151-2916.1984.tb19506.x)
Fricke, J. 1988 Sci. Am. 258 (May),68–73. (10.1038/scientificamerican0588-92)
Kuczinsky, G. C. 1949a Metall. Trans. AIME 185,169–178.
Ingham, D. B. & Kelmanson, M. A. 1984 Boundary Integral Equation Analyses of Singular, Potential and Biharmonic Problems . Lecture Notes in Engineering, vol. 7.Springer. (10.1007/978-3-642-82330-5)
Hopper, R. W. 1990c Plane Stokes flow driven by capillarity, Part 3. Unbounded regions.J. Fluid Mech. (submitted). (10.1017/S002211209000235X)
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics .Cambridge University Press.
Hopper, R. W. 1990 Plane Stokes flow driven by capillarity on a free surface.J. Fluid Mech. 213,349–375. (10.1017/S002211209000235X)
Frenkel, J. 1945 J. Phys. USSR 9,385–391.
Geguzin, Ja. E. 1973 Physik des Sinterns .Leipzig:VEB Deutscher verlag Grundstoffindustrie.
Scherer, G. W. 1977 J. Am. Ceram. Soc. 60,236–239. (10.1111/j.1151-2916.1977.tb14114.x)
Mackenzie, J. K. & Shuttleworth, R. 1949 Proc. Phys. Soc. Lond. 62,833–852. (10.1088/0370-1301/62/12/310)
Hopper, R. W. 1990b Plane Stokes flow driven by capillarity, Part 2. Coalescence of unequal cylinders.J. Fluid Mech. (submitted). (10.1017/S002211209000235X)
Kuiken, H. K. 1990 Proc. Conf. on the Mathematics and the Computation of Deforming Surfaces .Oxford University Press (to appear).
Kuczinsky, G. C. 1949b J. Appl. Phys. 20,1160–1163.
Exner, H. E. 1979 Rev. Powder Metall. Phys. Ceram. 1,7–251.

Dates

Type	When
Created	19 years, 4 months ago (April 26, 2006, 11:39 a.m.)
Deposited	2 months, 2 weeks ago (June 20, 2025, 12:41 p.m.)
Indexed	1 month ago (July 30, 2025, 8:25 p.m.)
Issued	35 years, 4 months ago (May 1, 1990)
Published	35 years, 4 months ago (May 1, 1990)
Published Online	19 years, 4 months ago (April 26, 2006)
Published Print	35 years, 4 months ago (May 1, 1990)

Funders 0

None

BibTeX

@article{Kuiken_1990, title={Viscous sintering: the surface-tension-driven flow of a liquid form under the influence of curvature gradients at its surface}, volume={214}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112090000234}, DOI={10.1017/s0022112090000234}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Kuiken, H. K.}, year={1990}, month=may, pages={503–515} }

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