THE UNSTEADY-STATE SOLUTION BY AN OPERATOR THEORY FOR A DISPERSION-TYPE TUBULAR REACTOR WITH AN IMMOBILE ZONE

被引:2
作者
Kim, Dong Hyun [1 ]
Ma, Guo Yu [1 ]
Chang, Kun Soo [1 ]
机构
[1] Univ Waterloo, Dept Chem Engn, Waterloo, ON N2L 3G1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Tubular reactor; Immobile zone; Operator theory;
D O I
10.1080/00986448408940138
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The analytical solution for an unsteady-state, dispersion-type, tubular reactor model with an immobile zone is obtained by an operator theory in a Hilbert space. The space is defined so as to make the operator positive and self-adjoint with a compact self-adjoint resolvent. A spectral representation is then applied to arrive at the analytical solution.
引用
收藏
页码:283 / 295
页数:13
相关论文
共 12 条
[1]  
BALAKRISHNAN AV, 1981, FUNCTIONAL ANAL
[3]  
Naylor AW., 1971, LINEAR OPERATOR THEO
[4]  
PAPOUTSAKIS ET, 1982, AICHE ANN M LOS ANG
[5]  
POPOVIC M, 1976, CHEM ENG J, V11, P67
[6]   STIRRED POTS, TUBULAR REACTORS, AND SELF-ADJOINT OPERATORS [J].
RAMKRISH.D ;
AMUNDSON, NR .
CHEMICAL ENGINEERING SCIENCE, 1974, 29 (06) :1353-1361
[7]   BOUNDARY-VALUE-PROBLEMS IN TRANSPORT WITH OBLIQUE AND MIXED DERIVATIVE BOUNDARY-CONDITIONS - MORE ON STEADY-STATE SOLUTIONS [J].
RAMKRISHNA, D ;
NARSIMHAN, G ;
AMUNDSON, NR .
CHEMICAL ENGINEERING SCIENCE, 1981, 36 (01) :199-207
[8]   BOUNDARY-VALUE PROBLEMS IN TRANSPORT WITH MIXED AND OBLIQUE DERIVATIVE BOUNDARY-CONDITIONS .2. REDUCTION TO 1ST ORDER SYSTEMS [J].
RAMKRISHNA, D ;
AMUNDSON, NR .
CHEMICAL ENGINEERING SCIENCE, 1979, 34 (03) :309-318
[9]   BOUNDARY-VALUE PROBLEMS IN TRANSPORT WITH MIXED OR OBLIQUE DERIVATIVE BOUNDARY-CONDITIONS .1. FORMULATION OF EQUIVALENT INTEGRAL-EQUATIONS [J].
RAMKRISHNA, D ;
AMUNDSON, NR .
CHEMICAL ENGINEERING SCIENCE, 1979, 34 (03) :301-308
[10]   TRANSPORT IN COMPOSITE-MATERIALS - REDUCTION TO A SELF-ADJOINT FORMALISM [J].
RAMKRISHNA, D ;
AMUNDSON, NR .
CHEMICAL ENGINEERING SCIENCE, 1974, 29 (06) :1457-1464