OPTIMAL HEATING OF A SLAB WITH A PLANE HEAT-SOURCE OF TIMEWISE VARYING STRENGTH

被引:14
作者
CHEN, CJ
OZISIK, MN
机构
[1] Mechanical and Aerospace Engineering Department, North Carolina State University, Raleigh, NC
关键词
D O I
10.1080/10407789208944881
中图分类号
O414.1 [热力学];
学科分类号
摘要
The optimal heating rate is sought for a plate with temperature-dependent thermal conductivity and an internally located continuous plane heat source. At the final specified time t(f), the final temperature distribution T(f)(x) should approximate as closely as possible a specified uniform temperature T(d), and a minimum amount of energy should he used for the heating. We determine the location and the timewise variation of the strength of the plane heat source that satisfy such requirements.
引用
收藏
页码:351 / 361
页数:11
相关论文
共 9 条
[1]
Butkovskii A.G., 1960, AUTOMAT REM CONTR+, V21, P472
[2]
DISTRIBUTED PARAMETER SYSTEM OPTIMUM CONTROL DESIGN VIA FINITE-ELEMENT DISCRETIZATION [J].
CAVIN, RK ;
TANDON, SC .
AUTOMATICA, 1977, 13 (06) :611-614
[3]
FUNCTION MINIMIZATION BY CONJUGATE GRADIENTS [J].
FLETCHER, R ;
REEVES, CM .
COMPUTER JOURNAL, 1964, 7 (02) :149-&
[4]
FINITE-ELEMENT AND CONJUGATE GRADIENT METHODS FOR A NON-LINEAR OPTIMAL HEAT-TRANSFER CONTROL PROBLEM [J].
MERIC, RA .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1979, 14 (12) :1851-1863
[5]
FINITE-ELEMENT ANALYSIS OF OPTIMAL HEATING OF A SLAB WITH TEMPERATURE-DEPENDENT THERMAL-CONDUCTIVITY [J].
MERIC, RA .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1979, 22 (10) :1347-1353
[6]
SOME RECENT APPLICATIONS OF DISTRIBUTED PARAMETER-SYSTEMS THEORY - SURVEY [J].
RAY, WH .
AUTOMATICA, 1978, 14 (03) :281-287
[7]
Sage A.P., 1968, OPTIMUM SYSTEMS CONT