Nonlinear flux-force relations and equipartition theorems for the state of minimum entropy production

被引:8
作者
Johannessen, E [1 ]
Kjelstrup, S [1 ]
机构
[1] Norwegian Univ Sci & Technol, Dept Chem, N-7491 Trondheim, Norway
关键词
D O I
10.1515/JNETDY.2005.009
中图分类号
O414.1 [热力学];
学科分类号
摘要
We explain that the path of minimum entropy production in a system with nonlinear flux-force relations, which do not depend explicitly on the state variables of the system, can be characterised by equipartition of driving forces and equipartition of entropy production. The explanation is based on an optimal control theory formulation of the optimisation problem. The finding helps explaining recent numerical observations on the second law optimal state of chemical reactions.
引用
收藏
页码:129 / 136
页数:8
相关论文
共 17 条
[1]   Optimization of processes by equipartition [J].
Bedeaux, D ;
Standaert, F ;
Hemmes, K ;
Kjelstrup, S .
JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 1999, 24 (03) :242-259
[2]  
Bryson A. E., 1975, APPL OPTIMAL CONTROL
[3]   Distribution of heat exchange in optimum diabatic distillation columns [J].
de Koeijer, G ;
Rosjorde, A ;
Kjelstrup, S .
ENERGY, 2004, 29 (12-15) :2425-2440
[4]   Thermodynamic length, time, speed, and optimum path to minimize entropy production [J].
Diosi, L ;
Kulacsy, K ;
Lukacs, B ;
Racz, A .
JOURNAL OF CHEMICAL PHYSICS, 1996, 105 (24) :11220-11225
[5]  
Fogler H. S., 1999, ELEMENTS CHEM REACTI
[6]   Numerical evidence for a "highway in state space" for reactors with minimum entropy production [J].
Johannessen, E ;
Kjelstrup, S .
CHEMICAL ENGINEERING SCIENCE, 2005, 60 (05) :1491-1495
[7]   Minimum entropy production rate in plug flow reactors:: An optimal control problem solved for SO2 oxidation [J].
Johannessen, E ;
Kjelstrup, S .
ENERGY, 2004, 29 (12-15) :2403-2423
[8]  
JOHANNESSEN E, IN PRESS CHEM ENG SC
[9]   The driving force distribution for minimum lost work in chemical reactors close to and far from equilibrium. 1. Theory [J].
Kjelstrup, S ;
Sauar, E ;
Bedeaux, D ;
van der Kooi, H .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1999, 38 (08) :3046-3050
[10]   The driving force distribution for minimum lost work in a chemical reactor close to and far from equilibrium.: 2.: Oxidation of SO2 [J].
Kjelstrup, S ;
Island, TV .
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1999, 38 (08) :3051-3055