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Diffusion of macromolecules in non-uniform velocity gradients

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Progress and Trends in Rheology

Abstract

The purpose of this communication is the study of the phenomenon of diffusion of macromolecules in non-homogeneous flows. Non-homogeneous flow is one in which the velocity gradients vary spatially over the flow domain of interest. A kinetic approach of this problem has been made by Bird [1] and Aubert and Tirrell [2]. These last two authors built a theory using bead-spring-type macromolecular models (linear elastic dumbell and Rouse models). They have shown that the macromolecular solute does not move with the local center of mass-solvent-velocity in non-homogeneous flow. Particularly they have shown that migration along streamline occurs in Poiseuille flow and migration across streamline occurs in Couette flow. They have calculated the concentration profiles in Couette flow. These theoretical results (for concentration profiles) are in good agreement with experimental data obtained by Dill and Zimm [3] for D.N.A. molecules.

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References

  1. Byron Bird, R., J. Non-Newtonian Fluid Mech. 5, 1–12 (1972).

    Article  Google Scholar 

  2. Aubert, J. H., M. Tirrell, J. Chem. Phys. 72, 2694–2701 (1980); 73, 4103–4112 (1980).

    Article  ADS  Google Scholar 

  3. Dill, K. A., B. H. Zimm, Nucleic Acids Research 7, 735–749 (1979);

    Article  Google Scholar 

  4. Dill, K. A., Biophysical Chemistry 10, 327–334 (1979).

    Article  Google Scholar 

  5. Lhuillier, D., A. Ouibrahim, J. de Mécanique 19, 725–741 (1980).

    MathSciNet  MATH  Google Scholar 

  6. Maugin, G. A., J. de Mécanique 18, 541–563 (1979).

    MathSciNet  MATH  Google Scholar 

  7. Abhiraman, A. S., W. George, J. Polym. Sci. 18, 127–156 (1980).

    Google Scholar 

  8. Kaloni, P. N., Int. J. Engng. Sci. 3, 515–532 (1965).

    Article  MathSciNet  Google Scholar 

  9. Ericksen, J. L., Arch. Rational Mech. Analysis 4, 231–237 (1960).

    MathSciNet  MATH  Google Scholar 

  10. Germain, P., J. de Mécanique 12, 234–274 (1973).

    MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Laboratoire Mécanique Théorique, Université P. et M. Curie, Tour 66-4, place Jussieu, F-75230, Paris Cedex 05, France

    Dr. R. Drouot

Authors
  1. Dr. R. Drouot
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Hanswalter Giesekus Kurt Kirschke Joseph Schurz

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© 1982 Springer-Verlag Berlin Heidelberg

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Drouot, R. (1982). Diffusion of macromolecules in non-uniform velocity gradients. In: Giesekus, H., Kirschke, K., Schurz, J. (eds) Progress and Trends in Rheology. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-662-12809-1_75

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  • DOI: https://doi.org/10.1007/978-3-662-12809-1_75

  • Publisher Name: Steinkopff, Heidelberg

  • Print ISBN: 978-3-7985-0612-1

  • Online ISBN: 978-3-662-12809-1

  • eBook Packages: Springer Book Archive

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