Lumped-differential formulations for drying in capillary porous media

被引:27
作者
Cheroto, S
Guigon, SMS
Ribeiro, JW
Cotta, RM
机构
[1] UNIV FED CEARA,DEPT COMP SCI,BR-60455760 FORTALEZA,CEARA,BRAZIL
[2] UNIV FED RIO DE JANEIRO,DEPT MECH ENGN,EE,COPPE,BR-21945970 RIO JANEIRO,RJ,BRAZIL
关键词
Luikov equations; lumped formulations; approximate solutions; modelling of drying;
D O I
10.1080/07373939708917263
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Simultaneous heat and mass transfer, during drying of moist capillary porous media, is modeled through different lumped-differential formulations, obtained from spatial integration of the original set of Luikov's equations for temperature and moisture potential. Besides the classical lumped system analysis, improved formulations are proposed, of same mathematical simplicity, based on approximate evaluations of both temperature and moisture gradients within the medium. The relative merits of such improved zero-dimensional formulations are established, through critical comparisons against analytical solutions for the full partial differential system, over a wide range of the governing parameters.
引用
收藏
页码:811 / 835
页数:25
相关论文
共 20 条
[1]  
Aparecido J.B., 1989, HEAT TRANSFER ENG, V11, P49, DOI DOI 10.1080/01457639008939722
[2]  
Cotta R., 1993, Integral Transforms in Computational Heat and Fluid Flow, V3
[3]   COUPLED INTEGRAL-EQUATION APPROACH FOR SOLVING PHASE-CHANGE PROBLEMS IN A FINITE SLAB [J].
COTTA, RM ;
OZISIK, MN ;
MENNIG, J .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1990, 327 (02) :225-234
[4]  
COTTA RM, 1993, NATO ASI SERIES E, V258, P753
[5]  
FERGUSON WJ, 1991, P 7 INT C NUM METH 2, P973
[6]   ON THE COMPLEX EIGEN-VALUES OF LUIKOV SYSTEM OF EQUATIONS [J].
LOBO, PD ;
MIKHAILOV, MD ;
OZISIK, MN .
DRYING TECHNOLOGY, 1987, 5 (02) :273-286
[7]  
LOBO PD, 1988, THESIS N CAROLINA ST
[8]  
Luikov A.V., 1964, ADV HEAT TRANSFER, V1, P123, DOI [10.1016/S0065-2717(08)70098-4, DOI 10.1016/S0065-2717(08)70098-4]
[9]  
Luikov A.V, 1966, HEAT MASS TRANSFER C
[10]   SYSTEMS OF DIFFERENTIAL EQUATIONS OF HEAT AND MASS-TRANSFER IN CAPILLARY-POROUS BODIES (REVIEW) [J].
LUIKOV, AV .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1975, 18 (01) :1-14