Extension of the parameter range of the power series expressions and asymptotes of the exact solutions to Smoluchowski's coagulation equation with gamma distributions as initial size spectra

被引：2

作者：

Lindblad, U ^{[1
]}

机构：

[1] Lund Univ, Ctr Chem & Chem Engn, Dept Food Engn, SE-22100 Lund, Sweden

来源：

JOURNAL OF COLLOID AND INTERFACE SCIENCE | 2005年 / 283卷 / 01期

关键词：

Smoluchowski's coagulation equation; exact solutions; gamma distribution;

D O I：

10.1016/j.jcis.2004.08.070

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In order to obtain a wide set of test cases for numerical methods to solve Smoluchowski's coagulation equation the exact solutions for the constant, sum or product kernel, with gamma distributions as initial size spectra, are generalized by allowing size distributions with a singularity at zero volume. (C) 2004 Published by Elsevier Inc.

引用

页码：267 / 273

页数：7

共 13 条

[1]

Abramowitz M., 1965, HDB MATH FUNCTIONS N, V55

[2]

[Anonymous], 1972, TOPICS CURRENT AEROS

[3]

Arfken G. B., 2001, Mathematical Methods for Physicists

[4]

ERASMUS LD, 1996, COMPUT CHEM ENG, V18, P775

[5] SPLINE-COLLOCATION WITH ADAPTIVE MESH GRADING FOR SOLVING THE STOCHASTIC COLLECTION EQUATION [J].

EYRE, D ;

WRIGHT, CJ ;

REUTER, G .

JOURNAL OF COMPUTATIONAL PHYSICS, 1988, 78 (02) :288-304

[6] NUMERICAL-SOLUTION OF DYNAMIC EQUATION FOR PARTICULATE SYSTEMS [J].

GELBARD, F ;

SEINFELD, JH .

JOURNAL OF COMPUTATIONAL PHYSICS, 1978, 28 (03) :357-375

[7] EVALUATION OF ZERO-ORDER METHODS FOR SIMULATING PARTICLE COAGULATION [J].

KOSTOGLOU, M ;

KARABELAS, AJ .

JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1994, 163 (02) :420-431

[8] On the solution of population balance equations by discretization .1. A fixed pivot technique [J].

Kumar, S ;

Ramkrishna, D .

CHEMICAL ENGINEERING SCIENCE, 1996, 51 (08) :1311-1332

[9]

*MATH WORKS INC, 2001, MATLAB 6 1

[10] COAGULATION OF AEROSOLS WITH BROAD INITIAL SIZE DISTRIBUTIONS [J].

MULHOLLAND, GW ;

LEE, TG ;

BAUM, HR .

JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1977, 62 (03) :406-420

← 1 2 →