Numerical calculations on the kinetics of stepwise micelle association
The kinetic equations for stepwise micelle association and dissociation have been solved by computer calculations by use of 2 methods. The full nonlinear equations have been integrated with a predictor-corrector method. The linearized equations, applicable at very small deviations from equilibrium, have been solved with respect to eigenvalues (relaxation times) and eigenvectors (normal reaction modes) by using Francis' QR method. Also amplitudes of the various reaction modes have been obtained. The results verify in all respects that the picture and results obtained previously with analytical methods, guided by an aggregation space flow analogy, are correct. In particular, the proper approximations used in the analytical treatment of the slow process have been proved to give very accurate results. 10 references.
- OSTI ID:
- 6323700
- Journal Information:
- J. Phys. Chem.; (United States), Journal Name: J. Phys. Chem.; (United States) Vol. 84:7; ISSN JPCHA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Sparse quasi-Newton methods and the continuation problem
Kinetics of step-wise micelle association
Related Subjects
020300* -- Petroleum-- Drilling & Production
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
400301 -- Organic Chemistry-- Chemical & Physicochemical Properties-- (-1987)
AGGLOMERATION
COMPUTER CALCULATIONS
DISPLACEMENT FLUIDS
DISSOCIATION
EIGENVALUES
EIGENVECTORS
EQUATIONS
FLUIDS
KINETICS
MATHEMATICAL MODELS
MICELLAR SYSTEMS