TY - JOUR

T1 - Transport properties of concentrated polymer solutions

T2 - Hydrodynamic mean field theory of the viscosity of a sphere suspension

AU - Mou, Chung Yuan

AU - Adelman, S. A.

PY - 1978

Y1 - 1978

N2 - The hydrodynamic mean field theory of the preceeding paper [C. Y. Mou and S. A. Adelman, J. Chem. Phys. 69,xxx(1978)] is applied to analytically calculate the concentration ρ0 dependent viscosity η[ρ 0] for a suspension of spherical particles of radius R. One finds that η[ρ0] = η0[1 + 5/2φλ], where η0 is the solvent viscosity, φ= 4π/3 ρ 0R3 is the solute volume fraction, and where λ = 2/3φ 1[5/2φ-1+[(1-5/2φ)2 + 3φ] 1/2]. To order φ2, η[ρ0] = η0[1 + 5/2φ + K(5/2φ)2] where the order φ term is the Einstein shift and where the Huggins constant K = 0.70. This result for K is in good agreement with previous theoretical estimates. The full form of η[ρ0] is compared with the experimental results of Cheng and Schachman for 2700 Å polystyrene latex spheres. Agreement between theory and experiment is fair. The discrepancy is attributed to neglect of concentration dependence in the sphere-sphere pair correlation functions and neglect of attractive intermolecular forces in the present theory.

AB - The hydrodynamic mean field theory of the preceeding paper [C. Y. Mou and S. A. Adelman, J. Chem. Phys. 69,xxx(1978)] is applied to analytically calculate the concentration ρ0 dependent viscosity η[ρ 0] for a suspension of spherical particles of radius R. One finds that η[ρ0] = η0[1 + 5/2φλ], where η0 is the solvent viscosity, φ= 4π/3 ρ 0R3 is the solute volume fraction, and where λ = 2/3φ 1[5/2φ-1+[(1-5/2φ)2 + 3φ] 1/2]. To order φ2, η[ρ0] = η0[1 + 5/2φ + K(5/2φ)2] where the order φ term is the Einstein shift and where the Huggins constant K = 0.70. This result for K is in good agreement with previous theoretical estimates. The full form of η[ρ0] is compared with the experimental results of Cheng and Schachman for 2700 Å polystyrene latex spheres. Agreement between theory and experiment is fair. The discrepancy is attributed to neglect of concentration dependence in the sphere-sphere pair correlation functions and neglect of attractive intermolecular forces in the present theory.

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U2 - 10.1063/1.437008

DO - 10.1063/1.437008

M3 - Article

AN - SCOPUS:0141568757

VL - 69

SP - 3146

EP - 3149

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 7

ER -