New development of Einstein’s viscose law for powder suspension systems

Abstract

Through the analysis of the present situation of the rheology of suspension disperse systems, the classical Einstein’s viscosity law was developed into the generalized Einstein’s viscosity law which can be further developed into universalized form, called the universalized Einstein’s viscosity law by introducing modification function f(φ). Some rational forms of the function f(φ) were discussed according to functional approximation method, and were consequently developed into a few suspension disperse system rheological equations suitable for high particle concentration. These equations all keep good consistence with the models acquired in experiments or other mathematical physics analysis.

Keywords

powder / suspension disperse system / rheology

References

[1] LiangS Q, HuangB Y. High techniques and new concepts in metal powder injection molding. High Technology Letters, 1996, 12: 54-58

[2] EinsteinA. Eine neue Bestimmung der Molekuldimension [J]. Ann Physik, 1906, 19: 289-306

[3] EinsteinA. Berichtigung Zu Meiner Arbeit. Eine neue Bestimmung der Molekuldimension [J]. Ann Physik, 1911, 34: 591-592

[4] FrankelN A, Acrivos. On the viscosity of a concentrated suspension of solid spheres[J]. Chem Eng Sci, 1967, 22: 847-853

[5] ChongJ S, ChristionsenE B. Rheology of concentrated suspensions[J]. J Appl Poly Sci, 1971, 17: 2007-2021

[6] BatchelorG K. The effect of brownian motion on the bluck stress in a suspension of particles[J]. J Fluid Mech, 1977, 83: 97-117

[7] KitanoT, KataokaT. An empirical equation of the relative viscosity polymer melts filled with various inorganic fillers [J]. Rheol Acata, 1980, 20: 207-209

[8] BallR C, RichmondP. Dynamics of colloidal dispersions [J]. Phys Chem Liquids, 1980, 9: 99-116

[9] MooneyM. The viscosity of a concentrated suspension of spherical particless[J]. J Colloid Sci, 1951, 6: 162-170

[10] LiangS QInvestigation on the rheology and its related problems for powder injection molding (in Chinese) [D], 2000, Changsha, Central South University

[11] LiangS Q, HuangB YRheology for powder injection molding (in Chinese) [M], 2000, Changsha, Central South University Press