Perturbation method for the approximation of single fiber inertial efficiency
One of the important problems in the theoretical study of fibrous air filters is the determination of the fiber collection efficiency for submicron particles where particle inertia is significant. Because this efficiency can not, in general, be given by a closed formula, numerical methods are required. One approach is to use the dynamic equations of particle motion and the method of shooting. However, this requires considerable computing time when extensive parameter studies are carried out. In this paper, a perturbation method is developed for the numerical approximation of the inertial efficiency. Example cases are given which show that for particles of radius one micron or less the observed error is approximately 7% or less as compared to that given by a shooting method. Furthermore, the average computation time is approximately one-twentieth of that required for the shooting method.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA); California Univ., Davis (USA). Dept. of Mathematics
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6121041
- Report Number(s):
- UCRL-15401; ON: DE82003183
- Country of Publication:
- United States
- Language:
- English
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