Atomization and Sprays Journal of the International Institutes for Liquid Atomization and Spray Systems

ISSN for PRINT: 1045-5110

For Online Access

Best Paper Award Selection - Editorial Board Site

2006, Volume16

Issue 1

130 pages

DOI: 10.1615/AtomizSpr.v16.i1

Issue price - $80.00

Meishen Li
Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

Xianguo Li
Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

The maximum entropy principle method has been very popular, and it has achieved reasonable success predicting droplet size and velocity distribution in sprays in the past two decades. The recently proposed method, maximization of entropy generation, takes into account the irreversibility during the atomization process, and is more consistent with the physics involved. Both of these methods generate models consisting of implicit, highly nonlinear equations involved with exponential functions and integrals. The classical Newton s method has traditionally been adopted as the solver; however, its inherent disadvantage is the requirement that the initial guess for the successive iteration in the numerical solution process be sufficiently close to the solution, otherwise the iteration may diverge rapidly. This study introduces a modification to the classical Newton's method with the Newton's second-order method and the successive under-relaxation (SUR) technique. Three other algorithms based on the Newton's method are also compared with the above methods. Results show that the proposed second-order Newton's method and the SUR technique can greatly improve the numerical stability and, indeed, relinquish the strict requirement on the initial guess.

DOI: 10.1615/AtomizSpr.v16.i1.50 Download article, 71-82 pages

Article price - $35.00

<< Previous article   Next article >>