ADIABATIC ISOTHERMAL MIXED BOUNDARY-CONDITIONS IN HEAT-TRANSFER

被引:11
作者
BASSANI, JL
NANSTEEL, MW
NOVEMBER, M
机构
[1] Univ of Pennsylvania, Philadelphia,, PA, USA, Univ of Pennsylvania, Philadelphia, PA, USA
关键词
D O I
10.1016/0017-9310(87)90009-3
中图分类号
O414.1 [热力学];
学科分类号
摘要
Mixed boundary conditions of the adiabatic-isothermal type often arise in the mathematical modeling of heat transfer phenomena. Under certain circumstances, the mixed condition gives rise to singular behavior which cannot be adequately treated by numerical means alone. The numerical procedure must be supplemented by an asymptotic analysis for the local behavior near the singularity. In the special case of a mixed boundary condition on a straight boundary, the strength of the singularity is given in terms of a path-independent integral, the value of which can be determined from the numerical solution for the far-field behavior. Implications of overlooking the singular behavior due to the mixed boundary condition are discussed.
引用
收藏
页码:903 / 909
页数:7
相关论文
共 16 条
[1]   TRIANGULAR QUARTER-POINT ELEMENTS AS ELASTIC AND PERFECTLY-PLASTIC CRACK TIP ELEMENTS [J].
BARSOUM, RS .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1977, 11 (01) :85-98
[2]   CONVECTION IN AN ENCLOSURE SOURCE AND SINK LOCATED ALONG A SINGLE HORIZONTAL BOUNDARY [J].
CLOMBURG, LA .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1978, 100 (02) :205-211
[3]  
DRUCKER D.C., 1970, ENG FRACT MECH, V1, P577, DOI 10.1016/0013-7944(70)90001-9
[4]  
ERDOGAN F, 1978, MECHANICS TODAY, V4, P1
[5]   THE SECRETION OF HUMAN CHORIONIC GONADOTROPIN-LIKE SUBSTANCE IN WOMEN EMPLOYING CONTRACEPTIVE MEASURES [J].
HUANG, SC ;
CHEN, HC ;
CHEN, RJ ;
HSIEH, CY ;
WEI, PY ;
OUYANG, PC .
JOURNAL OF CLINICAL ENDOCRINOLOGY & METABOLISM, 1984, 58 (04) :646-653
[6]   UNSTEADY-STATE HEAT-CONDUCTION IN SEMI-INFINITE REGIONS WITH MIXED-TYPE BOUNDARY-CONDITIONS [J].
HUANG, SC .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1985, 107 (02) :489-491
[7]  
HUTCHINSON JW, 1979, NONLINEAR FRACTURE M, pCH8
[8]  
NANSTEEL MW, IN PRESS INT J HEAT
[9]   A PATH INDEPENDENT INTEGRAL AND APPROXIMATE ANALYSIS OF STRAIN CONCENTRATION BY NOTCHES AND CRACKS [J].
RICE, JR .
JOURNAL OF APPLIED MECHANICS, 1968, 35 (02) :379-+
[10]  
RICE JR, 1968, FRACTURE, V2