FLOW OF AN EMULSION DROP THROUGH A CONVERGING CHANNEL USING THE BOUNDARY ELEMENT METHOD

Authors

  • Lucas Hildebrand Pires da Cunha UnB
  • Eder Lima de Albuquerque UnB
  • Ivan Rosa de Siqueira PUC-RJ

DOI:

https://doi.org/10.26512/ripe.v2i6.21468

Keywords:

Emulsion. Planar drop. Porous media. Boundary Element Method.

Abstract

The Boundary Element Method is employed to simulate the flow of a planar emulsion drop through a converging channel. The physical flow parameters allow to describe it using Stokes equations. A verification on the method accuracy and convergence is done related to the mesh and time increment refinement. The pump pressure answer, during the drop flow to keep the flow rate, is studied in relation to the capillary number, the viscosity ratio and the drop initial diameter.

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References

Alvarado, V. & Manrique, E., 2010. Enhanced Oil Recovery: Field Planning and Development Strategies. Elsevier, 1 ed.

Kim, S. & Karrila, S. J., 1991. Microhydrodynamics - Principles and Selected Applications. Butterworth-Heinemann.

Khayat, R. E., Luciani, A. & Utracki, L.A., 1997. Boundary-element analysis of planar drop deformation in confined flow. Engineering Analysis with Boundary Elements, vol. 19, pp. 279-289.

Ladyzheskaya, O. A., 1969. The Mathematical Theory of Viscous Incompressible Flow. Gordon & Breach.

Oliveira, T. F., 2007. Microhidrodinˆamica e Reologia de Emuls˜oes. Doctorate Degree Thesis - PUC-Rio, RJ, Brazil.

Pozrikidis, C., 1992. Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.

Roca, J. F. & Carvalho, M. S., 2013. Flow of a drop through a constricted microcapillary. Computer & Fluids, vol. 87, pp. 50-56.

Wrobel, L. C., J´unior, D. S., & Bhaumik, C. L., 2009. Drop deformation in Stokes flow through converging channels. Engineering Analysis with Boundary Elements, vol. 33, pp. 832-844.

Yan, L., Thompson, K. E., & Valsaraj, K. T., 2006. A numerical study on the coalescence of emulsion droplets in a constricted capillary tube. Journal of Colloid and Interface Science, vol. 298, pp. 832-844.

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Published

2017-01-19

How to Cite

Cunha, L. H. P. da, Albuquerque, E. L. de, & Siqueira, I. R. de. (2017). FLOW OF AN EMULSION DROP THROUGH A CONVERGING CHANNEL USING THE BOUNDARY ELEMENT METHOD. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(6), 1–17. https://doi.org/10.26512/ripe.v2i6.21468

Issue

Vol. 2 No. 6 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (I)

Section

Artigos

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