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Rapid polymer transport in concentrated solutions

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Solar Energy-Phase Transfer Catalysis-Transport Processes

Part of the book series: Advances in Polymer Science ((POLYMER,volume 55))

Abstract

This article discusses the rapid transport of polymers in terms of diffusional or diffusional-related processes. In particular it reviews:

  1. 1.

    Polymer and solvent diffusion in binary systems.

  2. 2.

    Polymer transport in ternary systems including an analysis of the cross diffusion coefficients and component distribution within the systems.

  3. 3.

    Macromolecular transport in transient polymeric networks and an introduction to the observation of rapid migration in such systems.

  4. 4.

    Detailed discussion of measurement of and factors involved in rapid polymer transport in multicomponent systems.

  5. 5.

    Identification of structured flows associated with rapid polymer transport and some simple mechanistic interpretations.

  6. 6.

    Rapid polymer transport and model biological systems.

The aim of the article is to introduce new observations of diffusive-convective phenomena in polymer chemistry. The processes discussed are of significance to those interested in transport phenomena.

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Abbreviations

A:

constant

A:

surface area

An :

nth virial coefficient

At :

absorbance at 237 nm at time t

C:

concentration in mass/volume units

CA, CB :

concentration above and below the boundary, respectively

Co :

initial concentration

C*:

critical polymer concentration

(D)o :

diffusion coefficient at infinite dilution

Dcoop :

co-operative diffusion coefficient

D +i :

intradiffusion or self-diffusion coefficient

(D)v :

mutual diffusion coefficient in a volume-fixed frame of reference.

Dii, Dij :

principal and cross-diffusion coefficients, respectively

Đij :

Stefan-Maxwell diffusion coefficient

fij :

frictional coefficient per mole of i

Ji :

flux of i

(Ji)v :

flux of i in a volume-fixed reference frame

L:

concentration of rods expressed as cm polymer per cm3 solution

Lij :

phenomemological coefficients

m:

molar concentration

M:

molecular weight (number average)

\(\bar M_n\) :

number average molecular weight

\(\bar M_w\) :

weight average molecular weight

Q:

amount transported over a boundary

r:

radius of diffusing particle

R:

universal gas constant

S:

sedimentation coefficient

t:

time

T:

temperature

T:

transport coefficient

Tc :

transport coefficient obtained by diffusional analysis employing the open-ended capillary technique

v:

velocity

Vc :

critical volume

Vi :

molar volume of i

\(\bar V_i\) :

partial specific volume of i

xi :

fraction of species i

ζ:

frictional coefficient

η:

viscosity

ηrel :

relative viscosity

η0 :

solvent viscosity

μi :

chemical potential of i

ξ:

distance between successive contact points in a transient network or ‘length of blob’

Π:

osmotic pressure

ϱ:

density

PEG:

poly(ethyleneglycol)

PVA:

poly(vinyl alcohol)

PVP:

poly(vinylpyrrolidone)

dextran Tn:

dextran, \(\bar M_w \simeq 1000 \times n\)

HTO:

Tritiated water

References

  1. Preston, B. N., Laurent, T. C., Comper, W. D. In: Molecular Biophysics of the Extracellular Matrix (eds.) Arnott, S., Rees, D. A., Clifton, New Jersey, Humana Press 1983

    Google Scholar 

  2. Comper, W. D., Laurent, T. C.: Physiol. Rev. 58, 255 (1978)

    PubMed  Google Scholar 

  3. Kirkwood, J. G. et al.: J. Chem. Phys. 33, 1505 (1960)

    Google Scholar 

  4. Spiegler, K. S.: Trans. Faraday Soc. 54, 1409 (1958)

    Google Scholar 

  5. Kedem, O., Katchalsky, A.: J. Gen. Physiol. 45, 143 (1961)

    PubMed  Google Scholar 

  6. Onsager, L.: Ann. N. Y. Acad. Sci. 46, 241 (1945)

    Google Scholar 

  7. Bearman, R. J.: J. Phys. Chem. 73, 186 (1961)

    Google Scholar 

  8. Comper, W. D., Van Damme, M.-P. I., Preston, B. N.: J. Chem. Soc. Faraday Trans. 1, 78, 3369 (1982)

    Google Scholar 

  9. Larm, O., Lindberg, B., Svensson, S.: Carbohydr. Res. 20, 39 (1971)

    PubMed  Google Scholar 

  10. Granath, K.: J. Colloid. Sci. 13, 308 (1958)

    Google Scholar 

  11. Basedow, A. M., Ebert, K. H.: J. Polym. Sci., Polym. Sym. 66, 101 (1979)

    Google Scholar 

  12. Preston, B. N. et al.: J. Chem. Soc. Faraday Trans. 1, 78, 1209 (1982)

    Google Scholar 

  13. Laurent, T. C. et al.: Eur. J. Biochem. 68, 95 (1976)

    PubMed  Google Scholar 

  14. Edmond, E. et al.: Biochem. J. 108, 775 (1968)

    Google Scholar 

  15. Ogston, A. G., Woods, E. F.: Trans. Faraday Soc. 50, 635 (1954)

    Google Scholar 

  16. De Gennes, P. G.: Macromolecules 9, 587 (1976)

    Google Scholar 

  17. De Gennes, P. G.: Macromolecules 9, 594 (1976)

    Google Scholar 

  18. De Gennes, P. G.: Nature 282, 367 (1979)

    Google Scholar 

  19. Laurent, T. C., Ryan, M., Pietruszkiewicz, A.: Biochim. Biophys. Acta. 42, 476 (1960)

    PubMed  Google Scholar 

  20. Graessley, W.: Adv. Polym. Sci. 16 (1974)

    Google Scholar 

  21. Aharoni, S. M.: J. Macromol. Sci. Phys. B. 15, 347 (1978)

    Google Scholar 

  22. Nyström, B., Roots, J.: J. Macromol. Sci., Rev. Macromol. Chem. C19, 35 (1980)

    Google Scholar 

  23. Maron, S. H., Nakijima, N., Krieger, I. M.: J. Polym. Sci. 37, 1 (1959)

    Google Scholar 

  24. Ogston, A. G., Preston, B. N.: Biochem. J. 182, 1 (1979)

    PubMed  Google Scholar 

  25. Franks, F. et al.: Cryo-Lett. 1, 104 (1979)

    Google Scholar 

  26. Arnott, S., Winter, W. T.: Fed. Proc. 36, 73 (1977)

    PubMed  Google Scholar 

  27. Adam, M., Delsanti, M., Pouyet, G.: J. Phys. Lett. 40, L-435 (1979)

    Google Scholar 

  28. Wik, K.-O., Comper, W. D.: Biopolymers 21, 583 (1982)

    PubMed  Google Scholar 

  29. Valtasaari, L., Hellman, E.: Acta Chem. Scand. 8, 1187 (1954)

    Google Scholar 

  30. Sundelöf, L.-O.: Ber. Bunsenges. Phys. Chem. 83, 329 (1979)

    Google Scholar 

  31. Einstein, A.: Investigations on the theory of the Brownian Movement, Dover Publications, 1956

    Google Scholar 

  32. Van Damme, M.-P., Comper, W. D., Preston, B. N.: J. Chem. Soc. Faraday Trans. 1, 78, 3357 (1982)

    Google Scholar 

  33. Tanaka, T., Fillmore, D.: J. Chem. Phys. 70, 1214 (1979)

    Google Scholar 

  34. Munch, J. P. et al.: J. Phys. 38, 971 (1977)

    Google Scholar 

  35. Candau, S., Bastide, J., Delsanti, M.: Adv. Polym. Sci. 44, 27 (1982)

    Google Scholar 

  36. Miller, D. G.: J. Phys. Chem. 63, 570 (1959)

    Google Scholar 

  37. See e.g. Cussler, E. L.: Multicomponent Diffusion, Amsterdam, Elsevier 1976

    Google Scholar 

  38. Comper, W. D. et al.: J. Phys. Chem. (in press)

    Google Scholar 

  39. Laurent, T. C. et al.: Biochim. Biophys. Acta 78, 351 (1963)

    PubMed  Google Scholar 

  40. Preston, B. N., Snowden, J. McK.: Proc. Royal Soc. Lond. A333, 311 (1973)

    Google Scholar 

  41. Ogston, A. G., Preston, B. N., Wells, J. D.: Proc. Royal Soc. London A333, 297 (1973)

    Google Scholar 

  42. Laurent, T. C. et al.: Eur. J. Biochem. 53, 129 (1975)

    Google Scholar 

  43. Cumming, G. J., Handley, C. J., Preston, B. N.: Biochem. J. 181, 257 (1979)

    PubMed  Google Scholar 

  44. Cussler, E. L., Lightfoot, E. N.: J. Phys. Chem. 69, 2875 (1965)

    Google Scholar 

  45. Preston, B. N., Snowden, J. McK., in: Biology of Fibroblast (eds.) Kulonen, E., Pikkarainen, J., p. 215, New York, Academic 1973

    Google Scholar 

  46. Kitchen, R. G., Preston, B. N.: Ph. D. Thesis, Monash University 1975

    Google Scholar 

  47. Laurent, T. C., Preston, B. N., Sundelöf, L.-O.: Nature 279, 60 (1979)

    PubMed  Google Scholar 

  48. Preston, B. N. et al.: Nature 287, 499 (1980)

    Google Scholar 

  49. Preston, B. N. et al.: J. Phys. Chem. 87, 655 (1983)

    Google Scholar 

  50. Sundelöf, L.-O.: Anal. Biochem. 127, 282 (1982); Laurent, T. C. et al.: Anal. Biochem. 127, 287 (1982)

    PubMed  Google Scholar 

  51. Comper, W. D.: (unpublished)

    Google Scholar 

  52. Laurent, T. C. et al.: J. Phys. Chem. 87, 648 (1983)

    Google Scholar 

  53. Preston, B. N. et al.: J. Phys. Chem. 87, 662 (1983)

    Google Scholar 

  54. Comper, W. D. et al.: J. Phys. Chem. 87, 667 (1983)

    Google Scholar 

  55. Comper, W. D., Preston, B. N.: Biochem. Int. 3, 557 (1981)

    Google Scholar 

  56. Nicolis, G., Prigogine, I.: Self-Organization in Non-Equilibrium Systems. From Dissipative Structures to Order Through Fluctuations, New York, John Wiley & Sons Inc. 1977

    Google Scholar 

  57. Haken, H.: Synergetics, Berlin-Heidelberg-New York, Springer-Verlag 1977

    Google Scholar 

  58. See e.g. Chandrasekhar, S.: Hydrodynamic and Hydromagnetic Stability, London, Oxford Univ. Press 1961

    Google Scholar 

  59. Wendt, R. P.: J. Phys. Chem. 66, 1740 (1962)

    Google Scholar 

  60. Reinfelds, G., Gosting, L. J.: J. Phys. Chem. 68, 2464 (1964)

    Google Scholar 

  61. Vitagliano, V. et al.: J. Phys. Chem. 76, 2050 (1972)

    Google Scholar 

  62. See e.g. Sternling, C. V., Scriven, L. E.: A.I.Ch.E. Journal 5, 514 (1959)

    Google Scholar 

  63. Whitmore, R. L.: Brit. J. Appl. Phys. 6, 239 (1955)

    Google Scholar 

  64. Weiland, R. H., McPherson, R. R.: Ind. Eng. Chem. Fundam. 18, 45 (1979)

    Google Scholar 

  65. Comper, W. D., Checkley, G. J., Preston, B. N.: Proc. Aust. Biochem. Soc. 14, 29 (1981) and unpublished results

    Google Scholar 

  66. McDougall, T. J., Turner, J. S.: Nature 299, 812 (1982); McDougall, T. J.: J. Fluid Mech. 126, 379 (1983)

    Google Scholar 

  67. Turner, J. S.: 2nd Australasian Conf. Heat and Mass Transfer, Univ. of Sydney, p. 1, 1977

    Google Scholar 

  68. Anderson, N. G.: Exptl. Cell Res. 9, 446 (1955)

    PubMed  Google Scholar 

  69. Brakke, M. K.: Arch. Biochem. Biophys. 55, 175 (1955)

    Google Scholar 

  70. Schumaker, V. N. in: Advances in Biological and Medical Physics (eds.) Lawrence, J. H., Gofman, J. W., p. 245, Vol. II, New York, Academic Press 1967

    Google Scholar 

  71. Sartory, W. K.: Biopolymers 7, 251 (1969)

    Google Scholar 

  72. Huppert, H. E., Manins, P. C.: Deep. Sea Res. 20, 315 (1973)

    Google Scholar 

  73. Comper, W. D., Preston, B. N.: J. Coll. Int. Sci. (submitted)

    Google Scholar 

  74. Ostrach, S. in: Progress in Astronautics and Aeronautics, New York, Amer. Inst. Aeronautics and Astronautics, Vol. 52, p. 3, 1977

    Google Scholar 

  75. Karlsson, J. O. in: Molecular Approaches to Neurobiology (ed.) Brown, I. R., p. 131, New York, Academic Press 1982

    Google Scholar 

  76. Comper, W. D., Preston, B. N., Austin, L.: Neurochem. Res. (in press)

    Google Scholar 

  77. See e.g. Winet, H., Hahn, T. L.: Biorheology 9, 57 (1972)

    Google Scholar 

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Comper, W.D., Preston, B.N. (1984). Rapid polymer transport in concentrated solutions. In: Solar Energy-Phase Transfer Catalysis-Transport Processes. Advances in Polymer Science, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12592-2_6

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  • DOI: https://doi.org/10.1007/3-540-12592-2_6

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