Abstract
The problem of a dilute polymer solution in equilibrium close to a wall, an edge, and a corner, respectively, is studied theoretically. Detailed knowledge of the rheology in these regions is needed in order to obtain the proper boundary conditions for bulk variables. It is interesting to see that shear stresses are predicted, whose origin is based on the intramolecular (elastic) interaction between the beads.
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References
Shames, I. H.: Mechanics of fluids, McGraw Hill, New York 1982
Batchelor, G. K.: J. Fluid Mech.41, (1970) 545
Brunn, P. O.: Int. J. Multiphase Flow.7 (1981) 221
Aubert, J. H.: J. Colloid Interface Sci.96 (1983) 135
Bird, R. B., Hassager, O., Armstrong, R. C. and Curtiss, Ch. F.: “Dynamics of polymeric liquids” vol II, Wiley, New York 1977
Brunn, P. O. and Grisafi, S.: Chem. Eng. Commun.36 (1985) 367
Irving, J. H. and Kirkwood, J. G.: J. Chem. Phys.18 (1950) 817
Schierholz, W. F.: Dissertation, Univ. Erlangen 1990
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Schierholz, W.F., Brunn, P.O. Dilute polymeric solutions close to bounding surfaces: Shear stresses in equilibrium. Continuum Mech. Thermodyn 4, 137–150 (1992). https://doi.org/10.1007/BF01125695
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DOI: https://doi.org/10.1007/BF01125695