TRANSIENT DIFFUSIONAL INTERACTIONS BETWEEN SOLID BODIES AND ISOLATED FLUIDS

被引:12
作者
HATTON, TA
CHIANG, AS
NOBLE, PT
LIGHTFOOT, EN
机构
[1] Department of Chemical Engineering, University of Wisconsin, Madison
关键词
D O I
10.1016/0009-2509(79)80026-3
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
A generalized Sturm-Liouville approach is used to provide an efficient solution procedure for the problem of one-dimensional diffusion accompanied by an irreversible first-order reaction in a body suddenly immersed in an isolated volume of moderately stirred fluid. Specific results are presented for the slab, solid and hollow cylinders, and the sphere. The non-reactive, non-adiabatic calorimeter problem is solved by reduction to a closely related adiabatic problem with first-order heat generation in the body, the solution to which is contained in the earlier developments of the paper. © 1979.
引用
收藏
页码:1339 / 1344
页数:6
相关论文
共 19 条
[11]   TRANSIENT DIFFUSION FROM A WELL-STIRRED RESERVOIR TO A BODY OF ARBITRARY SHAPE [J].
MA, YH ;
EVANS, LB .
AICHE JOURNAL, 1968, 14 (06) :956-&
[12]   The diffusion problem for a solid in contact with a stirred liquid [J].
March, HW ;
Weaver, W .
PHYSICAL REVIEW, 1928, 31 (06) :1072-1082
[13]   THE HEATING OR COOLING OF A SOLID SPHERE IN A WELL-STIRRED FLUID [J].
PATERSON, S .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1947, 59 (331) :50-58
[14]  
Peddie W., 1901, P EDINBURGH MATH SOC, V19, P34
[15]   STIRRED POTS, TUBULAR REACTORS, AND SELF-ADJOINT OPERATORS [J].
RAMKRISH.D ;
AMUNDSON, NR .
CHEMICAL ENGINEERING SCIENCE, 1974, 29 (06) :1353-1361
[16]   TRANSPORT IN COMPOSITE-MATERIALS - REDUCTION TO A SELF-ADJOINT FORMALISM [J].
RAMKRISHNA, D ;
AMUNDSON, NR .
CHEMICAL ENGINEERING SCIENCE, 1974, 29 (06) :1457-1464
[17]   CHROMATOGRAPHY IN A BED OF SPHERES [J].
REIS, JFG ;
LIGHTFOOT, EN ;
NOBLE, PT ;
CHIANG, AS .
SEPARATION SCIENCE AND TECHNOLOGY, 1979, 14 (05) :367-394
[18]  
SIEGMUND CW, 1956, IND ENGNG CHEM
[19]  
Wilson A.H., 1948, LONDON EDINBURGH DUB, V39, P48, DOI [10.1080/14786444808561166, DOI 10.1080/14786444808561166]