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Intrinsic viscosity and friction coefficient of permeable macromolecules in solution

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  • Wiegel, F.W.
  • Mijnlieff, P.F.

Abstract

A polymer molecule in solution is treated as a porous sphere with a spherically symmetric permeability distribution. Solvent motion in and around this sphere is described by the Debije- Brinkman equation (Navier-Stokes equation and Darcy equation combined). The model allows a straightforward calculation of the frictional properties of a polymer in shear flow (intrinsic viscosity) and in translation (friction coefficient). Calculations have been carried out for a radial dependence of the permeability of the form k(r)=K exp(Qr2). The calculations provide us with 0 detailed information about the solvent flow through and around the macromolecular coil.

Suggested Citation

  • Wiegel, F.W. & Mijnlieff, P.F., 1977. "Intrinsic viscosity and friction coefficient of permeable macromolecules in solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(2), pages 385-396.
    • Handle: RePEc:eee:phsmap:v:89:y:1977:i:2:p:385-396
    DOI: 10.1016/0378-4371(77)90112-1
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    Cited by:

    1. Reuland, P. & Felderhof, B.U. & Jones, R.B., 1978. "Hydrodynamic interaction of two spherically symmetric polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 465-475.
    2. Felderhof, B.U. & Jones, R.B., 1978. "Faxén theorems for spherically symmetric polymers in solution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 457-464.

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