Skip to main content

Boundary-Element Method in Microfluidics

  • 250 Accesses


Boundary element method; Boundary integral approach


The boundary element method (BEM) is a numerical method for solving partial differential equations which are encountered in many engineering disciplines such as solid and fluid mechanics, electromagnetics, and acoustics.


Boundary element method (or boundary integral method) is a numerical tool that is well applied to many linear problems in engineering. There are several advantages of the boundary element method (BEM) over other numerical methods (such as finite element method (FEM)) and some of which are (i) discretization and modeling of only the boundary of the solution domain, (ii) improved solutions in stress concentration problems, (iii) accuracy of the solution regarding that it is a semi-analytical method (the integral equation is obtained using exact solution of the corresponding linear problem; the numerical approach is necessary only for evaluating the resulting integrals), and (iv) the...

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7


  1. Wrobel LC (2002) Boundary element method. Applications in thermo-fluids and acoustics, vol 1. Wiley, Chichester

    Google Scholar 

  2. Youngreen GK, Acrivos A (1975) Stokes flow past a particle of arbitrary shape: a numerical method of solution. J Fluid Mech 69:377–403

    CrossRef  MathSciNet  Google Scholar 

  3. Youngreen GK, Acrivos A (1976) On the shape of a gas bubble in a viscous extensional flow. J Fluid Mech 76:433–442

    CrossRef  Google Scholar 

  4. Rallison JM, Acrivos A (1978) A numerical study of the deformation and burst of a viscous drop in an extensional flow. J Fluid Mech 89:191–200

    CrossRef  MATH  Google Scholar 

  5. Lee SH, Leal LG (1982) The motion of a sphere in the presence of a deformable interface. Part 2: numerical study of the translation of a sphere normal to an interface. J Colloid Interface Sci 87:81–106

    CrossRef  Google Scholar 

  6. Al Quddus N, Moussa WA, Bhattacharjee S (2008) Motion of a spherical particle in a cylindrical channel using arbitrary Lagrangian–Eulerian method. J Colloid Interface Sci 17:20–630

    Google Scholar 

  7. Ai Y, Joo SW, Jiang Y, Xuan X, Qian S (2009) Pressure-driven transport of particles through a converging–diverging microchannel. Biomicrofluidics 3:022404

    CrossRef  Google Scholar 

  8. Çetin B, Li D (2011) Dielectrophoresis in microfluidics technology. Electrophoresis 32:2410–2427, Special issue on dielectrophoresis

    CrossRef  Google Scholar 

  9. Bruus H (2008) Theoretical microfluidics. Oxford University Press, New York

    Google Scholar 

  10. House DL, Luo H (2010) Electrophoretic mobility of a colloidal cylinder between two parallel walls. Eng Anal Bound Elem 34(5):471–476

    CrossRef  MATH  MathSciNet  Google Scholar 

  11. House DL, Luo H (2011) Effect of direct current dielectrophoresis on the trajectory of a non-conducting colloidal sphere in a bent pore. Electrophoresis 32:3277–3285

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to Barbaros Cetin .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 2014 Springer Science+Business Media New York

About this entry

Cite this entry

Cetin, B., Baranoğlu, B. (2014). Boundary-Element Method in Microfluidics. In: Li, D. (eds) Encyclopedia of Microfluidics and Nanofluidics. Springer, Boston, MA.

Download citation

  • DOI:

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Boston, MA

  • Online ISBN: 978-3-642-27758-0

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering