scholarly journals Neumann heat content asymptotics with singular initial temperature and singular specific heat

Author(s):  
M. van den Berg ◽  
P. Gilkey ◽  
H. Kang
2000 ◽  
Vol 15 (18) ◽  
pp. 1165-1179 ◽  
Author(s):  
PETER GILKEY ◽  
JEONG HYEONG PARK

Let M be a compact manifold with smooth boundary. We study the heat content asymptotics on M which are defined by a time-dependent metric gt, by a time-dependent heat source, by time-dependent boundary conditions, and by a time-dependent specific heat.


2002 ◽  
Vol 104 (1-3) ◽  
pp. 185-188 ◽  
Author(s):  
JeongHyeong Park ◽  
Peter B. Gilkey

2013 ◽  
Vol 816-817 ◽  
pp. 216-220
Author(s):  
Lian Lian Guo ◽  
Jing Fu Wang ◽  
Yin Zhi Wang

By means of thermal analysis, specific heat values of sinter with different temperatures are measured and the linear function which along with the change of temperature is got. According to the actual condition, the porous medium model which describes the cooling process is established. The influences on cooling process of specific heat with fixed and variational values are compared. With the variational specific heat, the effects on cooling process of sinter initial temperature and air temperature are discussed. The result shows that both increasing sinter initial temperature and cold air temperature can improve the exhaust heat utilization, but the later delay the cooling time.


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