MOMENT METHOD OF LOG-NORMAL SIZE DISTRIBUTION FOR COAGULATION PROBLEM: CONSTANT COLLISION KERNEL MODEL

REFERENCES

• Cohen , E. R. and Vaughan , E. U. ( 1971 ) Approximate solution of the equation for aerosol agglomeration . J. Colloid Interface Sci. 25 , 612 – 623 .
   Web of Science ®Google Scholar
• Gelbard , F. and Seinfeld , J. H. ( 1978 ) Numerical solutions of the dynamic equation for particle systems . J. Comp. Phys. 28 , 357 – 375 .
   Web of Science ®Google Scholar
• Hidy , G. M. and Brock , J. R. ( 1970 ) The dynamics of aerocolloidal systems . Pergamon Press .
   Google Scholar
• IMSL ( 1980 ) “ IMSL Contents Document , , 8th Edition ” International Mathematical and Statistical Libraries , Houston .
   Google Scholar
• Landgrebe , J. D. and Pratsinis , S. E. ( 1990 ) A discrete-sectional model for powder production by gas phase chemical reaction and aerosol coagulation in the free-molecular regime . J. Colloid Interface Sci. 139 , 63 – 86 .
   Web of Science ®Google Scholar
• Lee , K. W. ( 1983 ) Change of particle size distribution during Brownian coagulation . J. Colloid Interface Sci. 92 , 315 – 325 .
   Web of Science ®Google Scholar
• Lee , K. W. , Chen , H. and Gieseke , J. A. ( 1984 ) Log-normally preserving size distribution for Brownian coagulation in the free-molecule regime . Aerosol Sci. Technol. 3 , 53 – 62 .
   Web of Science ®Google Scholar
• Mick , H. J. , Hospital , A. and Roth , P. ( 1991 ) Computer simulation of soot particle coagulation in low pressure flames . J. Aerosol Sci. 22 , 831 – 841 .
   Google Scholar
• Mulholland , G. W. , Lee , T. G. and Baum , H. R. ( 1977 ) The coagulation of aerosols with broad initial size distributions . J. Colloid Interface Sci. 62 , 406 – 420 .
   Google Scholar
• Müller , H. (1928) Zur allgemeinen Theorie der raschen Koagulation Kolloidbeihefte 27, 223–250.
   Google Scholar
• Otto , E. , Fissan , H. , Park , S. H. and Lee , K. W. ( 1999 ) The log-normal size distribution theory of Brownian aerosol coagulation for the entire particle size range Part II Analytical solution using Dahnekes coagulation kernel . J. Aerosol Sci. 30 , 17 – 34 .
   Web of Science ®Google Scholar
• Park , S. H. , Lee , K. W. , Otto , E. and Fissan , H. ( 1999 ) The log-normal size distribution theory of Brownian aerosol coagulation for the entire particle size range Part I Analytical solution using the harmonic mean coagulation kernel . J. Aerosol Sci. 30 , 3 – 16 .
   Web of Science ®Google Scholar
• Pratsinis , S. E. , Kodas , T. T. , Dudukovic , M P. and Friedlander , S. K. ( 1986 ) Aerosol reactor design Effect of reactor type and process parameters on product aerosol characteristics , Ind. Eng. Chem. Process Des. Dev. 25 , 634 – 642 .
   Web of Science ®Google Scholar
• Pratsinis , S. E. ( 1988 ) Simultaneous nucleation, condensation, and coagulation in aerosol reactors J. Colloid Interface Sci. 124 , 416 – 427 .
   Web of Science ®Google Scholar
• Reed , L. D. , Lee , K. W. and Gieseke , J. A. ( 1980 ) The behavior of contained radioactive suspensions . Nuclear Sci. Eng. 75 , 167 – 180 .
   Web of Science ®Google Scholar
• Schumann , T. E. W. ( 1940 ) Theoretical aspects of the size distribution of fog particles . Quart. J. Roy. Meteorol Soc. 66 , 195 – 207 .
   Google Scholar
• Scott , W. T. ( 1968 ) Analytic studies of cloud droplet coalescence I . J. Atmos. Sci. 25 , 54 – 65 .
   Google Scholar
• Smoluchowski , M V. ( 1917 ) Versuch zur mathematischen Theorie der Koagulationskinetik kolloider Lösungen . Z. Phys. Chem. 92 , 129 – 168 .
   Google Scholar
• Tolfo , F. ( 1977 ) A simplified model of aerosol coagulation . J. Aerosol Sci. 8 , 9 – 19 .
   Google Scholar