An Exact Solution of Interception Efficiency Over an Elliptical Fiber Collector

REFERENCES

• Brown , R. C. 1984 . A Many-fibre Model of Airflow through a Fibrous Filter . J. Aerosol Sci. , 15 : 583 – 593 .
   Web of Science ®Google Scholar
• Cao , Y. H. , Cheung , C. S. and Yana , Z. D. 2004 . Numerical Study of an Electret Filter Composed of an Array of Staggered Parallel Rectangular Split-type Fibers . Aerosol Sci. Tech. , 38 : 603 – 618 .
   Web of Science ®Google Scholar
• Fardi , B. and Liu , B. Y. H. 1992a . Flow Field and Pressure Drop of Filters with Rectangular Fibers . Aerosol Sci. Tech. , 17 : 36 – 44 .
   Web of Science ®Google Scholar
• Fardi , B. and Liu , B. Y. H. 1992b . Efficiency of Fibrous Filters with Rectangular Fibers . Aerosol Sci. Tech. , 17 : 45 – 58 .
   Web of Science ®Google Scholar
• Happel , J. 1959 . Viscous Flow Relative to Arrays of Cylinders . AIChE J. , 5 : 174 – 177 .
   Web of Science ®Google Scholar
• Hinds , W. C. 1999 . Aerosol Technology: Properties, Behavior, and Measurement of Airborne Particles , New York : Wiley-Interscience .
   Google Scholar
• Homonoff , E. and Dugan , J. 2001 . “ Specialty Fibers for Filtration Applications ” . In Advances in Filtration and Separation Technology Vol. 15 , Falls Church , VA : American Filtration and Separations Society . CD- ROM
   Google Scholar
• Hosseini , S. A. and Tafreshi , H. V. 2010 . Modeling Permeability of 3-D Nanofiber Media in Slip Flow Regime . Chem. Eng. Sci. , 65 : 2249 – 2254 .
   Web of Science ®Google Scholar
• Hosseini , S. A. and Tafreshi , H. V. 2011 . ‘On the Importance of Fibers’ Cross-sectional Shape for Air Filters Operating in the Slip Flow Regime . Powder Technol. , 212 : 425 – 431 .
   Web of Science ®Google Scholar
• Kirsch , A. A. and Fuchs , N. A. 1967 . Studies on Fibrous Aerosol Filters—II. Pressure Drops in Systems of Parallel Cylinders . Ann. Occup. Hyg. , 10 : 23 – 30 .
   PubMedGoogle Scholar
• Kirsch , A. A. and Fuchs , N. A. 1968 . Studies on Fibrous Aerosol Filters—III. Diffusional Deposition of Aerosols in Fibrous Filters . Ann. Occup. Hyg. , 11 : 299 – 304 .
   PubMedGoogle Scholar
• Kuwabara , S. 1959 . The Forces Experienced by Randomly Distributed Parallel Circular Cylinders or Spheres in a Viscous Flow at Small Reynolds Numbers . J. Phys. Soc. Jpn. , 14 : 522 – 527 .
   Google Scholar
• Landau , L. D. and Lifshitz , E. M. 1959 . Fluid Mechanics , Oxford : Pergamon Press .
   Google Scholar
• Lee , K. W. and Mukund , R. 2001 . “ Filter Collection ” . In Aerosol Measurement: Principles, Techniques and Applications , New York : P. A. Baron and K. Willeke, eds. John Wiley and Sons .
   Google Scholar
• Lin , J. Z. , Shi , X. and Yu , Z. S. 2003 . The Motion of Fibers in an Evolving Mixing Layer . Int. J. Multiphase Flow , 29 : 1355 – 1372 .
   Web of Science ®Google Scholar
• Lin , J. Z. and Zhang , L. X. 2002 . Numerical Simulation of Orientation Distribution Function of Cylindrical Particle Suspensions . Appl. Math. Mech. , 23 : 906 – 912 .
   Web of Science ®Google Scholar
• Lin , J. Z , Zhang , W. F. and Yu , Z. S. 2004 . Numerical Research on the Orientation Distribution of Fibers Immersed in Laminar and Turbulent Pipe Flows . J. Aerosol Sci , 35 : 63 – 82 .
   Web of Science ®Google Scholar
• Ouyang , M. and Liu , B. Y. H. 1998 . Analytical Solution of Flow Field and Pressure Drop for Filters with Rectangular Fibers . J. Aerosol Sci. , 29 : 187 – 196 .
   Web of Science ®Google Scholar
• Parker , H. W. 1977 . Air Pollution , New Jersey, NJ : Prentice-Hall Inc .
   Google Scholar
• Podgorski , A. , Balazy , A. and Gradon , L. 2006 . Application of Nanofibers to Improve the Filtration Efficiency of the Most Penetrating Aerosol Particles in Fibrous Filters . Chem. Eng. Sci. , 61 : 6804 – 6815 .
   Web of Science ®Google Scholar
• Przekop , R. and Gradon , L. 2008 . Deposition and Filtration of Nanoparticles in the Composites of Nano- and Microsized Fibers . Aerosol Sci. Tech. , 42 : 483 – 493 .
   Web of Science ®Google Scholar
• Raynor , P. C. 2002 . Flow Field and Drag for Elliptical Filter Fibers . Aerosol Sci. Tech. , 36 : 1118 – 1127 .
   Web of Science ®Google Scholar
• Raynor , P. C. 2008 . Single-Fiber Interception Efficiency for Elliptical Fibers . Aerosol Sci. Tech. , 42 : 357 – 368 .
   Web of Science ®Google Scholar
• Song , X. Q. , Lin , J. Z. , Zhao , J. F. and Shen , T. Y. 1996 . Research on Reducing Erosion by Adding Ribs on the Wall in Particulate Two-phase Flows . Wear , 1 : 1 – 7 .
   Web of Science ®Google Scholar
• Viswanathan , S. 1998 . An Improved Single Droplet Collection Efficiency for the Intermediate Flow Regime . Particul. Sci. Tec. , 16 ( 3 ) : 215 – 227 .
   Web of Science ®Google Scholar
• Wang , C. Y. 1996 . Stokes Flow through an Array of Rectangular Fibers . Int. J. Multiphase Flow , 22 : 185 – 194 .
   Web of Science ®Google Scholar
• Wang , J. , Kim , S. C. and Pui , D. Y. H. 2008 . Investigation of the Figure of Merit for Filters with a Single Nanofiber Layer on a Substrate . J. Aerosol Sci. , 39 : 323 – 334 .
   Web of Science ®Google Scholar
• Wang , J. and Pui , D. Y. H. 2009 . Filtration of Aerosol Particles by Elliptical Fibers: a Numerical Study . J. Nanoparticle Res. , 11 : 185 – 196 .
   Web of Science ®Google Scholar
• Yeh , H. and Liu , B. Y. H. 1974a . Aerosol Filtration by Fibrous Filters-I. Theoretical . J. Aerosol Sci. , 5 : 191 – 204 .
   Google Scholar
• Yeh , H. and Liu , B. Y. H. 1974b . Aerosol Filtration by Fibrous Filters-II. Experimental . J. Aerosol Sci. , 5 : 205 – 217 .
   Google Scholar
• Yu , M. Z. and Lin , J. Z. 2009 . Taylor-expansion Moment Method for Agglomerate Coagulation due to Brownian Motion in the Entire Size Regime . J. Aerosol Sci. , 40 ( 6 ) : 549 – 562 .
   Web of Science ®Google Scholar
• Yu , M. Z. , Lin , J. Z. and Chan , T. L. 2008 . A New Moment Method for Solving the Coagulation Equation for Particles in Brownian Motion . Aerosol Sci. Tech. , 42 ( 9 ) : 705 – 713 .
   Web of Science ®Google Scholar
• Zhu , C. , Lin , C. and Cheung , C. S. 2000 . Inertial Impaction-dominated Fibrous Filtration with Rectangular or Cylindrical Fibers . Powder Technol. , 112 : 149 – 162 .
   Web of Science ®Google Scholar