Skip to main content

Lateral Migration: A laminar fluid flow mechanism suited to Biotechnology separations

  • Chapter
Separations for Biotechnology 2
  • 338 Accesses

Abstract

This paper describes how a fluid mechanism provides a new method for the separation of drops and particles from the type of dilute suspension common in biochemical processes.

Lateral migration is a low Reynolds number fluid phenomenon observed in laminar duct flow. The mechanism causes the dispersed phase of drops or particles to migrate across flow streamlines to a characteristic equilibrium position. This paper considers only the behaviour of single particles. The equilibrium streamline is dependent on the settling velocity of the dispersed phase, the bulk velocity and the ratio of particle diameter to channel height. Preliminary results, using a scaled-up channel, are presented.

The technique is particularly attractive for the continuous separation of dilute suspensions of droplets and particles ≥50 μm with very low settling terminal velocities and which may be shear sensitive. This type of separation is not effectively fulfilled by continuous centrifuges. The proposed system is both easily and cheaply constructed and since it has no moving mechanical parts is ideally suited to operation behind containment or in aseptic conditions as required by the biotechnology industry.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bretherton, F.P; Slow viscous flow round a cylinder in a simple shear. J. Fluid Mech. 1962, 12, 591–613

    Article  Google Scholar 

  2. .Cox, R.G. and Brenner, H; The lateral migration of solid particles in Poiseuille flow -I. Chem. Eng. Sci. 1968, 23,147–173

    Article  Google Scholar 

  3. .Cox, R.G. and Hsu, S.K; The lateral migration of solid particles in a laminar flow near a plane. Int. J. Multiphase Flow 1977, 3,201–222

    Article  CAS  Google Scholar 

  4. Denson, C.D; Particle migration in shear fields. PhD thesis. Univ. Utah, Salt Lake City, Utah, 1965

    Google Scholar 

  5. .Goldman, A.J., Cox, R.G. and Brenner, H; Slow viscous motion of a sphere parallel to a plane wall-I Motion through a quiescent fluid. Chem. Eng. Sci. 1967,22,637–651

    Article  CAS  Google Scholar 

  6. .Goldsmith, H.L. and Mason, S.G; The flow of suspensions through tubes. J. Colloid Sci. 1962, 17,448–476

    Article  Google Scholar 

  7. .Halow, J.S. Radial migration of solid spheres in Couette systems. PhD. thesis, Virginia Polytechnic Inst, Blacksburg, Va., 1967

    Google Scholar 

  8. Happel, J. and Brenner, H; Low Reynolds number hydrodynamics. Noordhoff Pub., 1973.

    Google Scholar 

  9. .Hiller, W. and Kowalewski, T.A; An experimental study of the lateral migration of a droplet in a creeping flow. Exp. in Fluids 1987,5,43–48

    Article  CAS  Google Scholar 

  10. .Ho, B.P. and Leal, L.G; Inertial migration of rigid spheres in two-dimensional unidirectional flows. J. Fluid Mech. 1974,65, 2,365–400

    Article  Google Scholar 

  11. ssJeffrey, R.C. and Pearson, J.R.A; Particle motion in laminar vertical tube flow. J. Fluid Mech. 1965, 22, 4,721–735

    Article  Google Scholar 

  12. Karnis, A. and Mason, S.G; Particle motions in sheared suspensions. XIII. Wall migration of fluid drops. J. Colloid Interface Sci. 1967, 24, 164–169

    Article  CAS  Google Scholar 

  13. Leal, L.G; Particle motions in a viscous fluid. Ann. Rev. Fluid Mech. 1980,12, 435–476

    Article  Google Scholar 

  14. Majumbar, A. and Graham, A.L; Experimental study on the solid particle dynamics in shear flow. Powder Tech. 1987,49,217–226

    Article  Google Scholar 

  15. Mctigue, D.F, Givler, R.C. and Nunziato, J.W; J. Rheology 1986,30,5,1053–1076

    Article  Google Scholar 

  16. .Oliver, D.R; Influence of particle rotation on radial migration in the Poiseuille flow of suspensions. Nature 1962,194,1269–1271,1962

    Article  Google Scholar 

  17. Purdom, G.J.; Lateral migration of single rigid buoyant and neutrally buoyant in two dimension Poiseuille flow. PhD thesis. Imperial College, London, 1990

    Google Scholar 

  18. .Rakow, A.L. and Chappell, M.L; Axial migration of spirulina microalgae in laminar tube flow. Biorheology 1987,24,763–768

    PubMed  CAS  Google Scholar 

  19. .Repetti, R.V. and Leonard, E.F; Segre-Silberberg annulus formation: a possible explanation. Nature 1964,203,1346–1348

    Article  Google Scholar 

  20. .Segre, G. and Silberberg, A; Behaviour of macroscopic rigid spheres in Poiseuille flow. Part! Experimental results and interpretation. J. Fluid Mech. 1962, 18, 312–317

    Google Scholar 

  21. .Small, H; Hydrodynamic chromatography: A technique for size analysis of colloidal particles. J. Colloid Interface Sci. 1974,48, 1,147–161

    Article  CAS  Google Scholar 

  22. .Tachibana, M; On the behaviour of a sphere in the laminar tube flows. Rheol. Acta 1973, 12,58–69

    Article  Google Scholar 

  23. .Vasseur, P. and Cox, R.G; The lateral migration of a spherical particle in two-dimensional shear flows. J. Fluid Mech. 1976,78, 2,385–413

    Article  Google Scholar 

  24. Yanizeski, G.M; Phenomenological characteristics of the laminar flow of neutrally buoyant particles in a rectangular of high aspect ratio. PhD thesis. Carnegie-Mellon Univ., Michigan, 1968

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 United Kingdom Atomic Energy Authority

About this chapter

Cite this chapter

Purdom, G.J., Lambe, C.A. (1990). Lateral Migration: A laminar fluid flow mechanism suited to Biotechnology separations. In: Pyle, D.L. (eds) Separations for Biotechnology 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0783-6_10

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-0783-6_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6839-0

  • Online ISBN: 978-94-009-0783-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics