## Abstract

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 ρ_{0} dependent viscosity η[ρ _{0}] for a suspension of spherical particles of radius R. One finds that η[ρ_{0}] = η_{0}[1 + 5/2φλ], where η_{0} is the solvent viscosity, φ= 4π/3 ρ _{0}R^{3} is the solute volume fraction, and where λ = 2/3φ ^{1}[5/2φ-1+[(1-5/2φ)^{2} + 3φ] ^{1/2}]. To order φ^{2}, η[ρ_{0}] = η_{0}[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[ρ_{0}] 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.

Original language | English |
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Pages (from-to) | 3146-3149 |

Number of pages | 4 |

Journal | The Journal of Chemical Physics |

Volume | 69 |

Issue number | 7 |

DOIs | |

Publication status | Published - 1978 |

Externally published | Yes |

## ASJC Scopus subject areas

- General Physics and Astronomy
- Physical and Theoretical Chemistry