Improved methods for solving the smith — ewart equations in the steady state

Ballard, Mathew J., Gilbert, Robert G. and Napper, Donald H. (1981) Improved methods for solving the smith — ewart equations in the steady state. Journal of Polymer Science. Part C, Polymer Letters, 19 11: 533-537. doi:10.1002/pol.1981.130191103


Author Ballard, Mathew J.
Gilbert, Robert G.
Napper, Donald H.
Title Improved methods for solving the smith — ewart equations in the steady state
Journal name Journal of Polymer Science. Part C, Polymer Letters   Check publisher's open access policy
ISSN 0887-6258
Publication date 1981-11
Sub-type Article (original research)
DOI 10.1002/pol.1981.130191103
Volume 19
Issue 11
Start page 533
End page 537
Total pages 5
Place of publication Hoboken, NJ, United States
Publisher John Wiley & Sons
Language eng
Abstract An exact, steady-state solution to the Smith-Ewart equations for emulsion polymerization kinetics (1) was first obtained by Stockmayer (2) and later modified by O’Toole (3). Recent experimental studies of the emulsion polymerization of styrene (4-6) indicate that exit (desorption) of free radicals from the particles can play a significant role in determining the rate of polymerization and hence the properties of the latex formed (e.g., the particle size distribution). In addition reentry and/or aqueous phase termination of these exited particles may also occur. Unfortunately, the Stockmayer-O’Toole solution is difficult to evaluate computationally if k, the exit rate coefficient, is zero. Indeed, it requires the computation of Bessel functions of noninteger order, which usually demands solution of the appropriate differential equations. Moreover, the method is inapplicable if reentry and/or aqueous phase termination of exited free radicals occurs.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ
Additional Notes Article first published online: 11 March 2003.

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Chemistry and Molecular Biosciences
Centre for Nutrition and Food Sciences Publications
 
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Created: Mon, 07 Mar 2011, 15:36:51 EST